The pseudo-rigid-body model (PRBM) used to simulate compliant beams without inflection point had been well developed. In this paper, two types of PRBMs are proposed to simulate the large deflection of flexible beam with an inflection point in different configurations. These models are composed of five rigid links connected by three joints added with torsional springs and one hinge without spring representing the inflection point in the flexural beam. The characteristic radius factors of the PRBMs are determined by solving the objective function established according to the relative angular displacement of the two rigid links jointed by the hinge via genetic algorithm. The spring stiffness coefficients are obtained using a linear regression technique. The effective ranges of these two models are determined by the load index. The numerical result shows that both the tip locus and inflection point of the flexural beam with single inflection can be precisely simulated using the model proposed in this paper.
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June 2017
Research-Article
Pseudo-Rigid-Body Model for the Flexural Beam With an Inflection Point in Compliant Mechanisms
Shun-Kun Zhu,
Shun-Kun Zhu
College of Mechanical Engineering and Applied
Electronics Technology,
Beijing University of Technology,
Beijing 100124, China
Electronics Technology,
Beijing University of Technology,
Beijing 100124, China
Search for other works by this author on:
Yue-Qing Yu
Yue-Qing Yu
College of Mechanical Engineering and Applied
Electronics Technology,
Beijing University of Technology,
Beijing 100124, China
e-mail: yqyu@bjut.edu.cn
Electronics Technology,
Beijing University of Technology,
Beijing 100124, China
e-mail: yqyu@bjut.edu.cn
Search for other works by this author on:
Shun-Kun Zhu
College of Mechanical Engineering and Applied
Electronics Technology,
Beijing University of Technology,
Beijing 100124, China
Electronics Technology,
Beijing University of Technology,
Beijing 100124, China
Yue-Qing Yu
College of Mechanical Engineering and Applied
Electronics Technology,
Beijing University of Technology,
Beijing 100124, China
e-mail: yqyu@bjut.edu.cn
Electronics Technology,
Beijing University of Technology,
Beijing 100124, China
e-mail: yqyu@bjut.edu.cn
1Corresponding author.
Manuscript received May 1, 2016; final manuscript received January 20, 2017; published online March 20, 2017. Assoc. Editor: Larry L Howell.
J. Mechanisms Robotics. Jun 2017, 9(3): 031005 (8 pages)
Published Online: March 20, 2017
Article history
Received:
May 1, 2016
Revised:
January 20, 2017
Citation
Zhu, S., and Yu, Y. (March 20, 2017). "Pseudo-Rigid-Body Model for the Flexural Beam With an Inflection Point in Compliant Mechanisms." ASME. J. Mechanisms Robotics. June 2017; 9(3): 031005. https://doi.org/10.1115/1.4035986
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