Modeling large spatial deflections of flexible beams has been one of the most challenging problems in the research community of compliant mechanisms. This work presents a method called chained spatial-beam constraint model (CSBCM) for modeling large spatial deflections of flexible bisymmetric beams in compliant mechanisms. CSBCM is based on the spatial-beam constraint model (SBCM), which was developed for the purpose of accurately predicting the nonlinear constraint characteristics of bisymmetric spatial beams in their intermediate deflection range. CSBCM deals with large spatial deflections by dividing a spatial beam into several elements, modeling each element with SBCM, and then assembling the deflected elements using the transformation defined by Tait–Bryan angles to form the whole deflection. It is demonstrated that CSBCM is capable of solving various large spatial deflection problems either the tip loads are known or the tip deflections are known. The examples show that CSBCM can accurately predict large spatial deflections of flexible beams, as compared to the available nonlinear finite element analysis (FEA) results obtained by ansys. The results also demonstrated the unique capabilities of CSBCM to solve large spatial deflection problems that are outside the range of ansys.
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August 2016
Research-Article
Modeling Large Spatial Deflections of Slender Bisymmetric Beams in Compliant Mechanisms Using Chained Spatial-Beam Constraint Model
Guimin Chen,
Guimin Chen
School of Electro-Mechanical Engineering,
Xidian University,
Xi'an, Shaanxi 710071, China
e-mail: guimin.chen@gmail.com
Xidian University,
Xi'an, Shaanxi 710071, China
e-mail: guimin.chen@gmail.com
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Ruiyu Bai
Ruiyu Bai
School of Electro-Mechanical Engineering,
Xidian University,
Xi'an, Shaanxi 710071, China
Xidian University,
Xi'an, Shaanxi 710071, China
Search for other works by this author on:
Guimin Chen
School of Electro-Mechanical Engineering,
Xidian University,
Xi'an, Shaanxi 710071, China
e-mail: guimin.chen@gmail.com
Xidian University,
Xi'an, Shaanxi 710071, China
e-mail: guimin.chen@gmail.com
Ruiyu Bai
School of Electro-Mechanical Engineering,
Xidian University,
Xi'an, Shaanxi 710071, China
Xidian University,
Xi'an, Shaanxi 710071, China
1Corresponding author.
Manuscript received June 18, 2015; final manuscript received January 20, 2016; published online March 10, 2016. Assoc. Editor: Larry L. Howell.
J. Mechanisms Robotics. Aug 2016, 8(4): 041011 (9 pages)
Published Online: March 10, 2016
Article history
Received:
June 18, 2015
Revised:
January 20, 2016
Citation
Chen, G., and Bai, R. (March 10, 2016). "Modeling Large Spatial Deflections of Slender Bisymmetric Beams in Compliant Mechanisms Using Chained Spatial-Beam Constraint Model." ASME. J. Mechanisms Robotics. August 2016; 8(4): 041011. https://doi.org/10.1115/1.4032632
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