Articles | Volume 4, issue 1 
            
                
                    
                    
                        
            
            
            https://doi.org/10.5194/ms-4-49-2013
                    © Author(s) 2013. This work is distributed under 
the Creative Commons Attribution 3.0 License.
                the Creative Commons Attribution 3.0 License.
Special issue:
                        
                    https://doi.org/10.5194/ms-4-49-2013
                    © Author(s) 2013. This work is distributed under 
the Creative Commons Attribution 3.0 License.
                the Creative Commons Attribution 3.0 License.
CHRONO: a parallel multi-physics library for rigid-body, flexible-body, and fluid dynamics
H. Mazhar
                                            Simulation Based Engineering Lab, Department of Mechanical Engineering, University of Wisconsin, Madison, WI, 53706, USA
                                        
                                    T. Heyn
                                            Simulation Based Engineering Lab, Department of Mechanical Engineering, University of Wisconsin, Madison, WI, 53706, USA
                                        
                                    A. Pazouki
                                            Simulation Based Engineering Lab, Department of Mechanical Engineering, University of Wisconsin, Madison, WI, 53706, USA
                                        
                                    D. Melanz
                                            Simulation Based Engineering Lab, Department of Mechanical Engineering, University of Wisconsin, Madison, WI, 53706, USA
                                        
                                    A. Seidl
                                            Simulation Based Engineering Lab, Department of Mechanical Engineering, University of Wisconsin, Madison, WI, 53706, USA
                                        
                                    A. Bartholomew
                                            Simulation Based Engineering Lab, Department of Mechanical Engineering, University of Wisconsin, Madison, WI, 53706, USA
                                        
                                    A. Tasora
                                            Department of Industrial Engineering, University of Parma, V.G.Usberti 181/A, 43100, Parma, Italy
                                        
                                    D. Negrut
                                            Simulation Based Engineering Lab, Department of Mechanical Engineering, University of Wisconsin, Madison, WI, 53706, USA
                                        
                                    Related subject area
            Subject: Mechanisms and Robotics | Techniques and Approaches: Numerical Modeling and Analysis
            
                    
                        
                            
                            
                                     
                                Study on the contact performance of the variable hyperbolic circular arc tooth trace cylindrical gear with installation errors
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Multi-robot consensus formation based on virtual spring obstacle avoidance
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                A miniaturized statically balanced compliant mechanism for on-chip ultralow wide-bandwidth vibrational energy harvesting
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Vibration coupling characteristics and grinding force control of an elastic component grinding system
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Influence of a walking mechanism on the hydrodynamic performance of a high-speed wheeled amphibious vehicle
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                An investigation into the micro-geometric tapered-shape surface design of the piston bore of a piston–cylinder interface in an axial piston motor
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Synthesis of clearance for a kinematic pair to prevent an overconstrained linkage from becoming stuck
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Tooth profile design of a novel helical gear mechanism with improved geometry for a parallel shaft transmission
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Instability load analysis of a telescopic boom for an all-terrain crane
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Kinematics and control of a cable-driven snake-like manipulator for underwater application
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                A 2 degrees of freedom united propulsive mechanism for amphibious function inspired by frog's hindlimb
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Dynamic characteristics of the gear-rotor system in compressed air energy storage considering friction effects
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Denim-fabric-polishing robot size optimization based on global spatial dexterity
                                
                            
                        
                    
                    
                        
                            
                            
                                     
                                A general method for the determination of the instantaneous screw axes of one-degree-of-freedom spatial mechanisms
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Mechanism design and parameter optimization of a new asymmetric translational parallel manipulator
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Influence of grinding wheel parameters on the meshing performance of toroidal surface enveloping conical worm drive
                                
                            
                        
                    
                    
                        
                            
                            
                                     
                                A new manual wheelchair propulsion system with self-locking capability on ramps
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                The nonlinear vibrations of orthogonal mechanism of vibrating table in view of friction
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                                     
                                Location of unbalance mass and supporting bearing for different type of balance shaft module
                                
                                        
                                            
                                    
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Toward force detection of a cable-driven micromanipulator for a surgical robot based on disturbance observer
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Inverse dynamics and trajectory tracking control of a new six degrees of freedom spatial 3-RPRS parallel manipulator
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Design and analysis of a 3-DOF planar micromanipulation stage with large rotational displacement for micromanipulation system
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Research on a Hierarchical and Simultaneous Gravity Unloading Method for Antenna Pointing Mechanism
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Guaranteed detection of the singularities of 3R robotic manipulators
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                On the infinitely-stable rotational mechanism using the off-axis rotation of a bistable translational mechanism
                                
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                Dimensional synthesis of mechanical linkages using artificial neural networks and Fourier descriptors
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                On the positioning error of a 2-DOF spherical parallel wrist with flexible links and joints – an FEM approach
                                
                                        
                                            
                                    
                            
                            
                            
                        
                    
                    
                        
                            
                            
                            
                                     
                                New empirical stiffness equations for corner-filleted flexure hinges
                                
                            
                            
                        
                    
                    
            
        
        Dengqiu Ma, Bing Jiang, Lingli Bao, Zhenhuan Ye, and Yongping Liu
                                    Mech. Sci., 15, 353–366, https://doi.org/10.5194/ms-15-353-2024, https://doi.org/10.5194/ms-15-353-2024, 2024
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                                                The relationship between installation error and contact performance was studied. The tooth surface equation and contact ellipse were deduced, and the imprinting experiment was realized. The tooth contact analysis (TCA) model was developed to investigate the influence of the installation error on the contact area. The formulas of the gap and flexibility matrix were given to develop the loaded TCA (LTCA) model. The influence of the installation error on load distribution was investigated.
                                            
                                            
                                        Yushuai Fan, Xun Li, Xin Liu, Shuo Cheng, and Xiaohua Wang
                                    Mech. Sci., 15, 195–207, https://doi.org/10.5194/ms-15-195-2024, https://doi.org/10.5194/ms-15-195-2024, 2024
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                                                In this study, we systematically improved the multi-robot formation control algorithm. We employed a virtual spring approach to stabilize formations, enhanced the Velocity Obstacle algorithm to address collisions in dynamic mobility, and introduced a leader for consistency. Simulations with up to 20 robots confirmed our method's suitability for large-scale formation obstacle avoidance. Position error and path length remained stable as robot numbers increased.
                                            
                                            
                                        Haitong Liang, Hailing Fu, and Guangbo Hao
                                    Mech. Sci., 15, 159–168, https://doi.org/10.5194/ms-15-159-2024, https://doi.org/10.5194/ms-15-159-2024, 2024
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                                                A miniaturized statically balanced compliant mechanism is proposed as a structural solution to effectively lower the working frequencies of vibrational energy harvesters to ultralow levels across a wide bandwidth for practical applications. This mechanism exhibits zero stiffness and zero force within a specific displacement range and stiffness nonlinearity in the overall range. It overcomes the working frequency limit imposed by the size effect, showing great potential application value.
                                            
                                            
                                        Yufei Liu, Lang Wu, En Lu, and Jinyong Ju
                                    Mech. Sci., 15, 123–136, https://doi.org/10.5194/ms-15-123-2024, https://doi.org/10.5194/ms-15-123-2024, 2024
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                                                This paper investigates the vibration coupling effect and grinding force control of an elastic component grinding system, which is a multi-dimensional coupling system conveying a dynamic interaction between the elastic component and the grinding device during the grinding process. The research results have guiding significance for the vibration control and constant force control of robotic grinding systems for elastic components.
                                            
                                            
                                        Haijun Xu, Liyang Xu, Yikun Feng, Xiaojun Xu, Yue Jiang, and Xue Gao
                                    Mech. Sci., 14, 277–292, https://doi.org/10.5194/ms-14-277-2023, https://doi.org/10.5194/ms-14-277-2023, 2023
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                                                A high-speed wheeled amphibious vehicle was designed and researched based on computational fluid dynamic (CFD) technology. The results were compared with the corresponding test results for verification. CFD is applied to analyze the influence of the wheel flip angle on the resistance performance, and resistance reduction is explained by the change in wake flow-field of the amphibious vehicle. The wheel well was optimized based on our requirement for the vehicle performance on land and water.
                                            
                                            
                                        Rui Liu, Yishan Zeng, Min Hu, Huabing Zhu, Changhai Liu, and Lei Wang
                                    Mech. Sci., 14, 259–275, https://doi.org/10.5194/ms-14-259-2023, https://doi.org/10.5194/ms-14-259-2023, 2023
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                                                In order to reduce the energy loss and improve the wear resistance of a piston–cylinder pair in an axial piston motor,an optimized tapered piston bore is designed and applied. A fluid–structure interaction numerical model and a new test rig of the friction force of the piston–cylinder pair are developed. Numerical analysis and experimental results show that the optimized tapered-shape piston bore in an axial piston motor can achieve a significant reduction in leakage flow and friction force.
                                            
                                            
                                        Jian Qi, Yuan Gao, and Fufu Yang
                                    Mech. Sci., 14, 171–178, https://doi.org/10.5194/ms-14-171-2023, https://doi.org/10.5194/ms-14-171-2023, 2023
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                                                Overconstrained linkages always need fewer links to realize complex motion in a 3D space and are supposed to be great for constructing large deployable structures. However, the strict geometric conditions are hard to use in a complicated 3D environment. In this study, joint clearance is actively introduced to improve the adaptivity of the linkages (with an example given). This work is significant for improving the application of overconstrained linkages in a complicated environment.
                                            
                                            
                                        Enyi He and Shihao Yin
                                    Mech. Sci., 13, 1011–1018, https://doi.org/10.5194/ms-13-1011-2022, https://doi.org/10.5194/ms-13-1011-2022, 2022
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                                                A novel helical gear mechanism with improved geometry is proposed to reduce transmission errors. For the novel spiral gear mechanism with improved geometry, the maximal contact stresses change more smoothly and have a stronger bearing capacity. The results show that, under the same conditions, the gear in this paper improves the transmission accuracy, and the bearing capacity is also stronger.
                                            
                                            
                                        Jinshuai Xu, Yingpeng Zhuo, Zhaohui Qi, Gang Wang, Tianjiao Zhao, and Tianyu Wang
                                    Mech. Sci., 13, 991–1009, https://doi.org/10.5194/ms-13-991-2022, https://doi.org/10.5194/ms-13-991-2022, 2022
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                                                A super element of the telescopic boom for an all-terrain crane is proposed, and its geometric nonlinear calculation is realized by the co-rotational (CR) formulation. Considering the cable force, the nonlinear equilibrium equations of the system are established, which are transformed into differential equations, and the load displacement curves of the nodes are obtained. Through the slope ratio of the load displacement curve, the judgment criterion of the instability load is established.
                                            
                                            
                                        Fufeng Xue and Zhimin Fan
                                    Mech. Sci., 13, 495–504, https://doi.org/10.5194/ms-13-495-2022, https://doi.org/10.5194/ms-13-495-2022, 2022
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                                                To date, most underwater manipulators have been rigid-link structures with a small number of degrees of freedom and have been unable to perform well in confined spaces. Due to their high dexterity and good adaptability to different environments, snake-like manipulators have strong potential for use in complex underwater applications. In this study, a tip-following algorithm is presented to weave through confined and hazardous spaces along a defined path with high efficiency.
                                            
                                            
                                        Yucheng Tang, Xiaolong Yang, Xiaojin Zhu, Shichao Zhou, Wenbin Zha, Yuxin Sun, and Yulin Wang
                                    Mech. Sci., 13, 437–448, https://doi.org/10.5194/ms-13-437-2022, https://doi.org/10.5194/ms-13-437-2022, 2022
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                                                This paper presents a novel united propulsive mechanism inspired by the frog’s hindlimb. This hybrid mechanism is composed of a planar six-bar linkage, which is designed using homotopy continuation and a spatial four-bar mechanism. The two sub-chains connected on the foot form a closed loop, which decreases the degrees of freedom (DoF) of the foot to 2. The preliminary simulations validate the amphibious function of the designed mechanism.
                                            
                                            
                                        Xinran Wang, Wen Li, Dongxu Hu, Xingjian Dai, and Haisheng Chen
                                    Mech. Sci., 12, 677–688, https://doi.org/10.5194/ms-12-677-2021, https://doi.org/10.5194/ms-12-677-2021, 2021
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                                                This paper investigates the influence of friction effects on a gear-rotor system in compressed air energy storage (CAES), a new mathematical model of the system is established, and some new vibration characteristics of the gear-rotor system are shown in this paper. The results obtained in this paper will provide a reference for the study and design of a gear-rotor system in CAES.
                                            
                                            
                                        Wenjie Wang, Qing Tao, Xiaohua Wang, Yuting Cao, and Congcong Chen
                                    Mech. Sci., 12, 649–660, https://doi.org/10.5194/ms-12-649-2021, https://doi.org/10.5194/ms-12-649-2021, 2021
                            Juan Ignacio Valderrama-Rodríguez, José M. Rico, and J. Jesús Cervantes-Sánchez
                                    Mech. Sci., 11, 91–99, https://doi.org/10.5194/ms-11-91-2020, https://doi.org/10.5194/ms-11-91-2020, 2020
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                                                The paper presents a general procedure to determine the instantaneous rotation center for planar mechanisms, or its kinematical equivalent in the case of spherical or spatial cases, from the velocity analysis of the mechanism.  The procedure is based on the theoretical results of the Lie algebra, se(3), of the Euclidean group, together with the Killing and Klein forms. The paper shows that a previous contribution contains fundamental errors and it was done in order to unify the theory.
                                            
                                            
                                        Yi Yang, Yaqi Tang, Haijun Chen, Yan Peng, and Huayan Pu
                                    Mech. Sci., 10, 255–272, https://doi.org/10.5194/ms-10-255-2019, https://doi.org/10.5194/ms-10-255-2019, 2019
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                                                With the requirement of heavy load for pick-and-place operation, a new 3-DoF asymmetric translational parallel manipulator is invented in this paper. This manipulator is assembled by a kinematic limb with the parallel linear motion elements(PLMEs), and a single loop 2-UPR. Owning to the linear actuators directly connecting the moving and the fixed platforms, this parallel manipulator has high force transmission efficiency, and adapts to pick-and-place operation under heavy load.
                                            
                                            
                                        Chongfei Huai and Yaping Zhao
                                    Mech. Sci., 10, 199–211, https://doi.org/10.5194/ms-10-199-2019, https://doi.org/10.5194/ms-10-199-2019, 2019
                            Gaspar Rodríguez Jiménez, David Rodríguez Salgado, Francisco Javier Alonso, and José María del Castillo
                                    Mech. Sci., 9, 359–371, https://doi.org/10.5194/ms-9-359-2018, https://doi.org/10.5194/ms-9-359-2018, 2018
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                                                The present work describes the design and build of a new completely mechanical propulsion system for manual wheelchairs for use in ascending or descending long ramps. The design is characterized by a self-locking mechanism that activates automatically to brake the chair when the user stops pushing. The main component of the propulsion system is a planetary gear train that can self-lock, this means that the user does not need to activate external brakes.
                                            
                                            
                                        Zharilkassin Iskakov, Kuatbay Bissembayev, and Nutpulla Jamalov
                                    Mech. Sci., 9, 307–325, https://doi.org/10.5194/ms-9-307-2018, https://doi.org/10.5194/ms-9-307-2018, 2018
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                                                •	With a large load on the vibrating table, the oscillation of the motor shaft angular velocity and the effect of friction on it are more significant. 
•	Simulink model of the mechanism was developed for numerical calculations. 
•	Friction increases the difference between the maximum and minimum values of the angular velocity and the coefficient of non-uniformity of rotation.
•	Sliding friction influences the frequency, the maximum and minimum values of the work-table kinematic parameters.
                                            
                                            
                                        Chan-Jung Kim
                                    Mech. Sci., 9, 259–266, https://doi.org/10.5194/ms-9-259-2018, https://doi.org/10.5194/ms-9-259-2018, 2018
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                                                The conceptual design of balance shaft was very important process as how to locate the unbalance masses and corresponding supporting bearings. In this paper, the optimal conceptual balance shaft model was derived by using proposed objective functions for an inline 3-cylinder engine and an inline 4-cylinder one, respectively. Two kinds of optimal model were derived from simulations and efficient design guidelines was finally explained with design flowchart.
                                            
                                            
                                        Wenjie Wang, Lingtao Yu, and Jing Yang
                                    Mech. Sci., 8, 323–335, https://doi.org/10.5194/ms-8-323-2017, https://doi.org/10.5194/ms-8-323-2017, 2017
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                                                Force sensing plays an important role in minimally invasive surgery. In this study, a new asymmetric cable-driven type of micromanipulator for a surgical robot was designed, and a joint angle estimator(JAE) was designed based on the dynamical model system. Closed-loop control of the joint angle was carried out by regarding the JAE output as the feedback signal. An external force estimator was designed using a disturbance observer. The experimental results shown the correctness and validity.
                                            
                                            
                                        Santhakumar Mohan and Burkhard Corves
                                    Mech. Sci., 8, 235–248, https://doi.org/10.5194/ms-8-235-2017, https://doi.org/10.5194/ms-8-235-2017, 2017
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                                                This paper presents the complete dynamic model of a new six degrees of freedom (DOF) spatial 3-RPRS parallel manipulator. Further, a robust task-space trajectory tracking control is also designed for the manipulator along with a nonlinear disturbance observer. To demonstrate the efficacy and show the complete performance of the proposed controller, virtual prototype experiments are executed using one of multibody dynamics software namely MSC Adams.
                                            
                                            
                                        Bingxiao Ding, Yangmin Li, Xiao Xiao, Yirui Tang, and Bin Li
                                    Mech. Sci., 8, 117–126, https://doi.org/10.5194/ms-8-117-2017, https://doi.org/10.5194/ms-8-117-2017, 2017
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                                                A flexure-based monolithic micro manipulation stage with large workspace is designed and analyzed. The piezoelectric actuators are adopted to drive the manipulation stage. The optimized lever amplifier is integrated into the mechanism in order to compensate the stroke of the piezoelectric actuators. The working range of the manipulation stage along each axis is ± 42.31 μm, ± 48.56 μm, 0–10.28 m rad, respectively.
                                            
                                            
                                        Guoyong Yang, Hongguang Wang, Jizhong Xiao, Zuowei Wang, and Lie Ling
                                    Mech. Sci., 8, 51–63, https://doi.org/10.5194/ms-8-51-2017, https://doi.org/10.5194/ms-8-51-2017, 2017
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                                                This paper presents a gravity unloading facility to simulate micro-gravity environment of space. The facility unloads the gravity of artificial antenna of satellite and its pointing mechanism to test the performance of the pointing mechanism on the ground. The facility consists of two layers to unload gravity hierarchically and simultaneously while the antenna pointing mechanism consists of two joints. The calculation, simulation and experiments all show the effectiveness of the method applied.
                                            
                                            
                                        R. Benoit, N. Delanoue, S. Lagrange, and P. Wenger
                                    Mech. Sci., 7, 31–38, https://doi.org/10.5194/ms-7-31-2016, https://doi.org/10.5194/ms-7-31-2016, 2016
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                                                We propose two Interval Analysis based methods to characterize novel robots. Interval analysis theory allows us to consider intervals instead of values, making it possible to use computer algorithms, without the drawback of rounding errors. The first proposed method can isolate chosen interest points and is applied to the characteristic cusp and node points of 3R orthogonal manipulators. The second method encloses the robot available postures, giving complementary information on the novel robot.
                                            
                                            
                                        G. Hao and J. Mullins
                                    Mech. Sci., 6, 75–80, https://doi.org/10.5194/ms-6-75-2015, https://doi.org/10.5194/ms-6-75-2015, 2015
                            N. Khan, I. Ullah, and M. Al-Grafi
                                    Mech. Sci., 6, 29–34, https://doi.org/10.5194/ms-6-29-2015, https://doi.org/10.5194/ms-6-29-2015, 2015
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                                                The problem of dimensional synthesis of mechanisms to trace a given closed curve is solved by (a) representation of curve shape using normalized Fourier descriptors and (b) learning the relation between Fourier descriptors and mechanism dimensions by an artificial neural network (ANN). The ANN developed suggests dimensions of a four-bar mechanism with coupler curve of shape similar to the one desired. The dimensions are further refined by optimization.
                                            
                                            
                                        G. Palmieri
                                    Mech. Sci., 6, 9–14, https://doi.org/10.5194/ms-6-9-2015, https://doi.org/10.5194/ms-6-9-2015, 2015
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                                                This paper deals with an elasto-static analysis of a 2-DOF spherical parallel
wrist where the links and the joints are considered flexible. An FEM approach is used to analyze the problem in a series of configurations of the wrist. The results are elaborated in order to obtain continuous maps of the positioning and orientation errors over the workspace of the machine.
                                            
                                            
                                        Q. Meng, Y. Li, and J. Xu
                                    Mech. Sci., 4, 345–356, https://doi.org/10.5194/ms-4-345-2013, https://doi.org/10.5194/ms-4-345-2013, 2013
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