Articles | Volume 2, issue 1
https://doi.org/10.5194/ms-2-91-2011
© Author(s) 2011. 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-2-91-2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Level set-based topology optimisation of a compliant mechanism design using mathematical programming
M. Otomori
Kyoto University, Kyoto, Japan
T. Yamada
Nagoya University, Nagoya, Japan
K. Izui
Kyoto University, Kyoto, Japan
S. Nishiwaki
Kyoto University, Kyoto, Japan
Related subject area
Structural Mechanics
Comparative study of dynamically equivalent modeling methods for honeycomb sandwich structure: numerical simulations and experiments
Influence of flex-sub on mechanical properties of rotary steerable drilling system
Research on the HMCVT gear shifting smoothness of the four-speed self-propelled cotton picker
A teeth-discretized electromechanical model of a traveling-wave ultrasonic motor
Study on power split characteristics of planetary multistage face gear transmission device and its effect to drive efficiency under variable speed working condition
Failure analysis of a re-design knuckle using topology optimization
A holographic matrix representation of the metamorphic parallel mechanisms
Input Rationality Analysis of Three Degree of freedom Parallel Mechanism with Limbs of Embedding Structures
Quasi-static axial crushing of hexagonal origami crash boxes as energy absorption devices
detasFLEX – A computational design tool for the analysis of various notch flexure hinges based on non-linear modeling
Rotational Constraint between Beams in 3-D Space
The computation of bending eigenfrequencies of single-walled carbon nanotubes based on the nonlocal theory
Study on the large-displacement behaviour of a spiral spring with variations of cross-section, orthotropy and prestress
FE analysis of circular CFT columns considering bond-slip effect: A numerical formulation
Structural integrity investigation for RPV with various cooling water levels under pressurized melting pool
Mechanical behaviour of a creased thin strip
Determining the range of allowable axial force for the third-order Beam Constraint Model
An alternative design method for the double-layer combined die using autofrettage theory
Elasto-kinematics design of an innovative composite material suspension system
Shape optimization and sensitivity of compliant beams for prescribed load-displacement response
Model of a new joint thread for a drilling tool and its stress analysis used in a slim borehole
Effect of cutting speed parameters on the surface roughness of Al5083 due to recrystallization
A novel director-based Bernoulli–Euler beam finite element in absolute nodal coordinate formulation free of geometric singularities
Geometrically exact Cosserat rods with Kelvin–Voigt type viscous damping
Flexible joints in structural and multibody dynamics
Sub-modeling approach for obtaining structural stress histories during dynamic analysis
A statically balanced and bi-stable compliant end effector combined with a laparoscopic 2DoF robotic arm
Initial prediction of dust production in pebble bed reactors
Study of design parameters for squeeze film air journal bearing – excitation frequency and amplitude
Ning Guo, Hao Chen, Zhong Zhang, Fei Du, and Chao Xu
Mech. Sci., 11, 317–328, https://doi.org/10.5194/ms-11-317-2020, https://doi.org/10.5194/ms-11-317-2020, 2020
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Honeycomb sandwich (HS) structure has been widely used in aerospace applications because of its high specific strength and high specific stiffness. The structure of the lightweight HS panel is complex. Thus, establishing an equivalent simplified model is indispensable to improve the efficiency of the dynamic analysis of HS panels. In this paper, three commonly used dynamically equivalent modeling methods for HS panel are studied.
Jin Wang, Qilong Xue, Lixin Li, Leilei Huang, Fangtao Li, and Baolin Liu
Mech. Sci., 11, 285–297, https://doi.org/10.5194/ms-11-285-2020, https://doi.org/10.5194/ms-11-285-2020, 2020
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In the field of oil & gas drilling engineering, the Rotary Steerable System (RSS) is very widely used in directional drilling, the whole drillstring is rotated from the surface by a hydraulically driven top drive. In this paper we analysis of the dynamic model of the Rotary Steerable System (RSS) with a single stabilizer and flex-sub and takes a method of the longitudinal and transverse bending continuous beam method to analyse the stress of RSS with the flex-sub.
Mingxi Bao, Xiangdong Ni, Xin Zhao, and Shen Li
Mech. Sci., 11, 267–283, https://doi.org/10.5194/ms-11-267-2020, https://doi.org/10.5194/ms-11-267-2020, 2020
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To improve the HMCVT gear shifting smoothness of the self-propelled cotton picker, the quadratic orthogonal rotation test was carried out through the HMCVT test bench and control system with engine speed, clutch oil pressure, flow control valve, load torque, displacement ratio as the influencing factors while jerk, dynamic load coefficient, speed drop, weighted acceleration RMS, frictional work as the response indexes.
Ning Chen and Dapeng Fan
Mech. Sci., 11, 257–266, https://doi.org/10.5194/ms-11-257-2020, https://doi.org/10.5194/ms-11-257-2020, 2020
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This paper presents an electromechanical hybrid model combining a driving circuit and a TWUSM. (1) A driving circuit model combining circuit components with the load-dependent equivalent circuit model is proposed to simulate the real electric network. (2) The teeth discretized method is employed to refine the contact status and interaction forces limited to the teeth space, which improves the accuracy of the rotor step response not only in the rising time, but also the steady value.
Xingbin Chen, Peng Zhang, Xinhe Min, Nini Li, and Zhanpeng Deng
Mech. Sci., 11, 173–182, https://doi.org/10.5194/ms-11-173-2020, https://doi.org/10.5194/ms-11-173-2020, 2020
Yung-Chuan Chen, Hsing-Hui Huang, and Chen-Wei Weng
Mech. Sci., 10, 465–473, https://doi.org/10.5194/ms-10-465-2019, https://doi.org/10.5194/ms-10-465-2019, 2019
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In the article, we report the procedure for a lightweight self-design knuckle. We analyzed the strength of lightweight knuckle which designed by using topology optimization method. And determine the fatigue life of the knuckle for four ISO 8608 road classes to predict the life of the knuckle.
Wei Sun, Jianyi Kong, and Liangbo Sun
Mech. Sci., 10, 437–447, https://doi.org/10.5194/ms-10-437-2019, https://doi.org/10.5194/ms-10-437-2019, 2019
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The structural description of the metamorphic mechanism is an important part of its structure, which is the basis of analysis and synthesis. Therefore, we introduce a comprehensive whole information matrix. The novel method to describe the topological structure of metamorphic mechanism in all the configurations was proposed in the paper. We have put painstaking effort into building the matrix.
Gaowei Yang, Jianjun Zhang, Weimin Li, and Kaicheng Qi
Mech. Sci., 10, 343–353, https://doi.org/10.5194/ms-10-343-2019, https://doi.org/10.5194/ms-10-343-2019, 2019
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Parallel mechanism (PM) with limbs of embedding structures means that the limbs in the mechanism are connected in the coupling structure, so as to realize limb coupling, and the PM of common axes between limbs. Characterized by the compact structure, low cost and larger workspace, this kind of PM has very broad application prospects in engineering. In this paper, analysis and improvement are carried out on the input of a compact 3-DOF PM with limbs of embedding structures with larger workspace.
Jiayao Ma, Huaping Dai, Mengyan Shi, Lin Yuan, Yan Chen, and Zhong You
Mech. Sci., 10, 133–143, https://doi.org/10.5194/ms-10-133-2019, https://doi.org/10.5194/ms-10-133-2019, 2019
Stefan Henning, Sebastian Linß, and Lena Zentner
Mech. Sci., 9, 389–404, https://doi.org/10.5194/ms-9-389-2018, https://doi.org/10.5194/ms-9-389-2018, 2018
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A novel computational design tool to calculate the elasto-kinematic flexure hinge properties is presented. Four hinge contours are implemented. It is shown, that FEM results correlate well with the analytical design tool results. For a given deflection angle of 10° and a corner-filleted contour, the deviations of the bending stiffness are between 0.1 % and 9.4 %. The design tool can be beneficial for the accelerated and systematic synthesis of compliant mechanisms with optimized flexure hinges.
Hamid Reza Motamedian and Artem Kulachenko
Mech. Sci., 9, 373–387, https://doi.org/10.5194/ms-9-373-2018, https://doi.org/10.5194/ms-9-373-2018, 2018
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This paper presents a way to model the rotational constraint between beam elements in 3-D space. Beam elements are models used to simulate the behavior of slender objects. Such objects can be found for e.g. in bridges, space structures, robots, and networks of fibers (paper, cloth, biological tissue, etc). In many cases, beam elements are welded or bonded together. To model this bonding, the relative displacements and rotations shall be limited at the contact point using appropriate constraints.
Jozef Bocko, Pavol Lengvarský, Róbert Huňady, and Juraj Šarloši
Mech. Sci., 9, 349–358, https://doi.org/10.5194/ms-9-349-2018, https://doi.org/10.5194/ms-9-349-2018, 2018
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The paper is concerned to the computation of eigenfrequencies of single-walled carbon nanotubes (SWCNTs). Classical treatment, where the nanotube is approximated by beam theory, is replaced by the nonlocal theory of beam bending. The eigenfrequencies are computed by combination of analytical, as well as numerical methods for four types of boundary conditions. The results can be used for determination of Young’s modulus of homogenized SWCNTs from experimental measurements.
Giuseppe Radaelli and Just L. Herder
Mech. Sci., 9, 337–348, https://doi.org/10.5194/ms-9-337-2018, https://doi.org/10.5194/ms-9-337-2018, 2018
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Elastic systems that undergo large deformations are difficult to analyse because, while deforming, their mechanical properties change nonlinearly, which makes it difficult for designers to use them.
In this work we make use of a graphical representation of the mechanical behaviour of a selected elastic object, a spiral spring, to facilitate the understanding of its behaviour. The use of these graphs is illustrated by generating peculiar examples of systems with many stable configurations.
Ju-Young Hwang and Hyo-Gyoung Kwak
Mech. Sci., 9, 245–257, https://doi.org/10.5194/ms-9-245-2018, https://doi.org/10.5194/ms-9-245-2018, 2018
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In this paper, a numerical model for the analysis of bond-slip occurring in concrete filled steel tube (CFT) columns is introduced. The introduced model considers the bond-slip effect by incorporation of the equivalent steel stiffness. Finally, the validity of the introduced numerical model is verified by comparing the experimental data with the analytical results for CFT columns subjected to axial force and bending moment.
Jianfeng Mao, Yunkai Liu, Shiyi Bao, Lijia Luo, Zhiming Lu, and Zengliang Gao
Mech. Sci., 9, 147–160, https://doi.org/10.5194/ms-9-147-2018, https://doi.org/10.5194/ms-9-147-2018, 2018
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The traditional concepts on severe accident mitigation weren't seriously challenged until the occurrence of Fukushima accident on 2011, suggesting the structural behavior had not been appropriately assessed. Therefore, the paper tries to address the structure-related issue on determining whether structural safety can be maintained or not with the effect of various water levels and internal pressures created from core meltdown accident. The creep and plastic damages are interacted with each other
Jie Liu, Shanqing Xu, Guilin Wen, and Yi Min Xie
Mech. Sci., 9, 91–102, https://doi.org/10.5194/ms-9-91-2018, https://doi.org/10.5194/ms-9-91-2018, 2018
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The mechanical behaviour of a creased thin strip under opposite-sense bending was investigated,revealing that a simple crease could significantly alter the overall mechanical behaviour of a thin strip. The influence of the geometrical parameters on the mechanical behaviour of the creased strip was studied. The deformation patterns of the thin strips from the finite element simulations were verified by physical models made from thin metal strips.
Fulei Ma, Guimin Chen, and Guangbo Hao
Mech. Sci., 9, 71–79, https://doi.org/10.5194/ms-9-71-2018, https://doi.org/10.5194/ms-9-71-2018, 2018
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The Beam Constraint Model (BCM) may yield large predicting errors (> 5 %) when the applied axial force goes beyond a certain boundary. We mathematically determine the nondimensional boundary of the axial force by the conditions of the positive definite quadratic form of the strain energy expression and the buckling load expressions. If the axial force is beyond the boundary, the Chained Beam Constraint Model (CBCM) can be used instead.
Chengliang Hu, Fengyu Yang, Zhen Zhao, and Fan Zeng
Mech. Sci., 8, 267–276, https://doi.org/10.5194/ms-8-267-2017, https://doi.org/10.5194/ms-8-267-2017, 2017
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An alternative design method of the double-layer combined die using autofrettage theory is proposed. The relationship between the autofrettage pressure and the yield radius of the die insert is obtained, and expressions of residual stresses and displacements, which are directly related to geometric parameters, material properties and internal pressure, are derived. Compared with the conventional combined die, the autofrettaged die can bear larger working pressure, as expected.
Shuang Xu, Alessandro Ferraris, Andrea Giancarlo Airale, and Massimiliana Carello
Mech. Sci., 8, 11–22, https://doi.org/10.5194/ms-8-11-2017, https://doi.org/10.5194/ms-8-11-2017, 2017
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A Composite material (Carbon fiber reinforce polymer) leaf spring has been used to efficiently integrate the functions of suspension control arm and anti-roll bar in a compact passenger suspension.
Composites materials were chosen to tailor the required behavior of the leaf spring and to reduce the weight.
The research is done with multiple simulation methods, such as MBD and FEM. DoE is also performed to find the best combination of variables in the model.
Giuseppe Radaelli and Just L. Herder
Mech. Sci., 7, 219–232, https://doi.org/10.5194/ms-7-219-2016, https://doi.org/10.5194/ms-7-219-2016, 2016
Yu Wang, Bairu Xia, Zhiqiao Wang, and Chong Chai
Mech. Sci., 7, 189–200, https://doi.org/10.5194/ms-7-189-2016, https://doi.org/10.5194/ms-7-189-2016, 2016
Elias Rezvani, Hamid Ghayour, and Masoud Kasiri
Mech. Sci., 7, 85–91, https://doi.org/10.5194/ms-7-85-2016, https://doi.org/10.5194/ms-7-85-2016, 2016
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the effect of machining parameters and recrystallization on surface quality of Al5083 has been investigated. In order to achieve minimum surface roughness of aluminum 5083 samples, statistical test design method of "full factorial" was used. In order to achieve the phenomenon of recrystallization, aluminum 5083 samples were set under 50 % cold rolling mechanical operations. roughness, tensile, and microstructure tests indicated the reduction of surface roughness in crystallized sample.
P. G. Gruber, K. Nachbagauer, Y. Vetyukov, and J. Gerstmayr
Mech. Sci., 4, 279–289, https://doi.org/10.5194/ms-4-279-2013, https://doi.org/10.5194/ms-4-279-2013, 2013
J. Linn, H. Lang, and A. Tuganov
Mech. Sci., 4, 79–96, https://doi.org/10.5194/ms-4-79-2013, https://doi.org/10.5194/ms-4-79-2013, 2013
O. A. Bauchau and S. Han
Mech. Sci., 4, 65–77, https://doi.org/10.5194/ms-4-65-2013, https://doi.org/10.5194/ms-4-65-2013, 2013
T. T. Rantalainen, A. M. Mikkola, and T. J. Björk
Mech. Sci., 4, 21–31, https://doi.org/10.5194/ms-4-21-2013, https://doi.org/10.5194/ms-4-21-2013, 2013
J. Lassooij, N. Tolou, G. Tortora, S. Caccavaro, A. Menciassi, and J. L. Herder
Mech. Sci., 3, 85–93, https://doi.org/10.5194/ms-3-85-2012, https://doi.org/10.5194/ms-3-85-2012, 2012
M. Rostamian, S. Arifeen, G. P. Potirniche, and A. Tokuhiro
Mech. Sci., 2, 189–195, https://doi.org/10.5194/ms-2-189-2011, https://doi.org/10.5194/ms-2-189-2011, 2011
C. Wang and Y. H. J. Au
Mech. Sci., 2, 147–155, https://doi.org/10.5194/ms-2-147-2011, https://doi.org/10.5194/ms-2-147-2011, 2011
Cited articles
Allaire, G. and Jouve, F: Minimum stress optimal design with the level set method, Eng. Anal. Bound. Elem., 32, 909–918, 2008.
Allaire, G., Jouve, F., and Toader, A. M.: Structural optimization using sensitivity analysis and a level-set method, J. Comput. Phys., 194, 363–393, 2004.
Allaire, G., Gournay, F., Jouve, F., and Toader, A. M.: Structural optimization using topological and shape sensitivity via a level set method, Control Cybern., 34, 59–80, 2005.
Bendsøe, M. P. and Kikuchi, N.: Generating optimal topologies in structural design using a homogenization method, Comput. Method. Appl. M., 71, 197–224, 1988.
Céa, J., Garreau, S., Guillaume, P., and Masmoudi, M.: The shape and topological optimizations connection, Comput. Method. Appl. M., 188, 713–726, 2000.
Diaz, A. R. and Kikuchi, N.: Solutions to shape and topology eigenvalue optimization problems using a homogenization method, Int. J. Numer. Meth. Eng., 35, 1487–1502, 1992.
Duysinx, P. and Bendsøe, M. P.: Topology optimization of continuum structures with local stress constraints, Int. J. Numer. Meth. Eng., 43, 1453–1478, 1998.
Gurtin, M. E.: Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance, Physica D, 92, 178–192, 1996.
Her, I. and Midha, A.: A compliance number concept for compliant mechanisms, and type synthesis, J. Mech. Transm-T. ASME, 109, 348–355, 1987.
Howell, L.: Compliant Mechanisms, John Wiley & Sons, Inc., 2001.
Luo, Z. and Tong, L.: A level set method for shape and topology optimization of large-displacement compliant mechanisms, Int. J. Numer. Meth. Eng., 76, 862–892, 2008.
Martins, J. R. R. A. and Poon, N. M. K.: On structural optimization using constraint aggregation, in: (WCSMO6) Proceedings, 6th World Congress on Structural and Multidisciplinary Optimization, Rio de Janeiro, 2005.
Murat, F. and Tartar, L.: Optimality conditions and homogenization, in: Nonlinear variational problems, edited by: Marino, A., Modica, L., Spagnolo, S., and Degiovannni, M., Pitman Publishing Program, Boston, 1–8, 1985.
Nishiwaki, S., Frecker, M. I., Min, S., and Kikuchi, N.: Topology optimization of compliant mechanisms using the homogenization method, Int. J. Numer. Meth. Eng., 42, 535–559, 1998.
París, J., Navarrina, F., Colominas, I., and Casteleiro, M.: Topology optimization of continuum structures with local and global stress constraints, Struct. Multidiscip. O., 39, 419–437, 2009.
París, J., Navarrina, F., Colominas, I., and Casteleiro, M.: Improvements in the treatment of stress constraints in structural topology optimization problems, J. Comput. Appl. Math., 234, 2231–2238, 2010a.
París, J., Navarrina, F., Colominas, I., and Casteleiro, M.: Stress constraints sensitivity analysis in structural topology optimization, Comput. Method. Appl. M., 199, 2110–2122, 2010b.
Sethian, J. A. and Wiegmann, A.: Structural boundary design via level set and immersed interface methods, J. Comput. Phys., 163, 489–528, 2000.
Sigmund, O.: On the design of compliant mechanisms using topology optimization, Mech. Struct. Mach., 25, 493–524, 1997.
Suzuki, K. and Kikuchi, N.: A homogenization method for shape and topology optimization, Comput. Method. Appl. M., 93, 291–318, 1991.
Svanberg, K.: The method of moving asymptotes – a new method for structural optimization, Int. J. Numer. Meth. Eng., 24, 359–373, 1987.
Wang, M. Y., Wang, X., and Guo, D.: A level set method for structural topology optimization, Comput. Method. Appl. M., 192, 227–246, 2003.
Wang, M. Y., Chen, S., Wang, X., and Mei, Y.: Design of multimaterial compliant mechanisms using level-set methods, J. Mech. Design, 127, 941–956, 2005.
Wei, P. and Wang, M. Y.: Piecewise constant level set method for structural topology optimization, Int. J. Numer. Meth. Eng., 78, 379–402, 2009.
Yamada, T., Izui, K., Nishiwaki, S., and Takezawa, A.: A topology optimization method based on the level set method incorporating a fictitious interface energy, Comput. Method. Appl. M., 199, 2876–2891, 2010.
Yoo, J., Kikuchi, N., and Volakis, J. L.: Structural optimization in magnetic devices by the homogenization design method, IEEE T. Magn., 36, 574–580, 2000.
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