Although energy-based methods have advantages over the Newtonian methods for kinetostatic modeling, the geometric nonlinearities inherent in deflections of compliant mechanisms preclude most of the energy-based theorems. Castigliano’s first theorem and the Crotti-Engesser theorem, which don’t require the problem being solved to be linear, are selected to construct the energy-based kinetostatic modeling framework for compliant mechanisms in this work. Utilization of these two theorems requires explicitly formulating the strain energy in terms of deflections and the complementary strain energy in terms of loads, which are derived based on the beam constraint model. The kinetostatic modeling of two compliant mechanisms are provided to demonstrate the effectiveness of using Castigliano’s first theorem and the Crotti-Engesser theorem with the explicit formulations in this framework. Future work will be focused on incorporating use of the principle of minimum strain energy and the principle of minimum complementary strain energy.
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ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 6–9, 2017
Cleveland, Ohio, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5817-2
PROCEEDINGS PAPER
A Framework for Energy-Based Kinetostatic Modeling of Compliant Mechanisms Available to Purchase
Spencer P. Magleby,
Spencer P. Magleby
Brigham Young University, Provo, UT
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Larry L. Howell
Larry L. Howell
Brigham Young University, Provo, UT
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Guimin Chen
Xidian University, Xi’an, China
Fulei Ma
Xidian University, Xi’an, China
Ruiyu Bai
Xidian University, Xi’an, China
Spencer P. Magleby
Brigham Young University, Provo, UT
Larry L. Howell
Brigham Young University, Provo, UT
Paper No:
DETC2017-68205, V05AT08A021; 8 pages
Published Online:
November 3, 2017
Citation
Chen, G, Ma, F, Bai, R, Magleby, SP, & Howell, LL. "A Framework for Energy-Based Kinetostatic Modeling of Compliant Mechanisms." Proceedings of the ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 5A: 41st Mechanisms and Robotics Conference. Cleveland, Ohio, USA. August 6–9, 2017. V05AT08A021. ASME. https://doi.org/10.1115/DETC2017-68205
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