Articles | Volume 9, issue 1
Research article
16 Feb 2018
Research article |  | 16 Feb 2018

Determining the range of allowable axial force for the third-order Beam Constraint Model

Fulei Ma, Guimin Chen, and Guangbo Hao

Related authors

Design of experiment-based tolerance synthesis for a lock-or-release mechanism of the Chinese Space Station Microgravity Platform
Jian Ding, Jinguo Liu, Lu Zhang, Haitao Luo, Rongpeng Zhang, Guangbo Hao, and Yuwang Liu
Mech. Sci., 10, 393–412,,, 2019
Compound optimal control of harmonic drive considering hysteresis characteristic
Quan Lu, Tieqiang Gang, Guangbo Hao, and Lijie Chen
Mech. Sci., 10, 383–391,,, 2019
Short summary
Design and analysis of symmetric and compact 2R1T (in-plane 3-DOC) flexure parallel mechanisms
Guangbo Hao
Mech. Sci., 8, 1–9,,, 2017
A structure design method for compliant parallel manipulators with actuation isolation
Guangbo Hao and Xianwen Kong
Mech. Sci., 7, 247–253,,, 2016
Short summary
On the infinitely-stable rotational mechanism using the off-axis rotation of a bistable translational mechanism
G. Hao and J. Mullins
Mech. Sci., 6, 75–80,,, 2015

Related subject area

Subject: Structural Mechanics | Techniques and Approaches: Mathematical Modeling and Analysis
A teeth-discretized electromechanical model of a traveling-wave ultrasonic motor
Ning Chen and Dapeng Fan
Mech. Sci., 11, 257–266,,, 2020
Short summary
Input Rationality Analysis of Three Degree of freedom Parallel Mechanism with Limbs of Embedding Structures
Gaowei Yang, Jianjun Zhang, Weimin Li, and Kaicheng Qi
Mech. Sci., 10, 343–353,,, 2019
Short summary
An alternative design method for the double-layer combined die using autofrettage theory
Chengliang Hu, Fengyu Yang, Zhen Zhao, and Fan Zeng
Mech. Sci., 8, 267–276,,, 2017
Short summary
Geometrically exact Cosserat rods with Kelvin–Voigt type viscous damping
J. Linn, H. Lang, and A. Tuganov
Mech. Sci., 4, 79–96,,, 2013
Flexible joints in structural and multibody dynamics
O. A. Bauchau and S. Han
Mech. Sci., 4, 65–77,,, 2013

Cited articles

Awtar, S. and Sen, S.: A Generalized Constraint Model for Two-Dimensional Beam Flexures: Nonlinear Load-Displacement Formulation, ASME J. Mechan. Des., 132, 081008,, 2010a.
Awtar, S. and Sen, S.: A Generalized Constraint Model for Two-Dimensional Beam Flexures: Nonlinear Strain Energy Formulation, ASME J. Mechan. Des., 132, 081009,, 2010b.
Awtar, S. and Slocum, A.: Constraint-Based Design of Parallel Kinematic XY Flexure Mechanisms, ASME J. Mech. Des., 129, 816–830, 2007.
Awtar, S., Slocum, A., and Sevincer, E.: Characteristics of Beam-Based Flexure Modules, ASME J. Mechan. Des., 129, 625–639, 2007.
Awtar, S., Shimotsu, K., and Sen, S.: Elastic Averaging in Flexure Mechanisms – A Three-Beam Parallelogram Flexure Case Study, ASME J. Mech. Robot., 2, 041006,, 2010.
Short summary
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.