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Optimization of Pseudo-Rigid-Body Models for Accurately and Efficiently Predicting Dynamics of Compliant Mechanisms

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2018, Master of Science, Ohio State University, Electrical and Computer Engineering.
In this study, a mass-parameter optimization framework is developed to predict dynamics of compliant mechanisms. More specifically, non-dimensional mass property parameters are introduced to the classical Pseudo-Rigid-Body (PRB) model for accurately and rapidly predicting dynamics of compliant mechanisms. Given extensive work on PRB models on statics and kinematics of compliant mechanisms, few works have investigated their accuracy in predicting dynamics. This research starts with the study by correcting the fundamental natural frequency of compliant mechanisms. First, analytical expressions of the natural frequencies of continuum models are derived according to the vibration mechanics. Second, theoretical expressions of the natural frequencies of the parameterized PRB model are obtained from their dynamics equations. Third, the mass property parameters are optimized to minimize the frequency error between the continuum models and the parameterized PRB model. Four boundary conditions of compliant beams are studied in this research, i.e. fixed-free, pinned-free, fixed-guided, and pinned-guided. As a case study, the pinned-root compliant parallel-guiding mechanisms (CPGM) is finally employed in dynamics simulation based on the pinned-guided compliant beam. It is concluded that the optimized PRB models can well predict the dynamics especially the low input signal frequency or mass of beams are not negligible. These new PRB models can significantly improve computational efficiency in dynamics simulation of compliant mechanisms.
Yuan Zheng (Advisor)
Hai-Jun Su (Advisor)
51 p.

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Citations

  • She, Y. (2018). Optimization of Pseudo-Rigid-Body Models for Accurately and Efficiently Predicting Dynamics of Compliant Mechanisms [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu15414414341246

    APA Style (7th edition)

  • She, Yu. Optimization of Pseudo-Rigid-Body Models for Accurately and Efficiently Predicting Dynamics of Compliant Mechanisms. 2018. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu15414414341246.

    MLA Style (8th edition)

  • She, Yu. "Optimization of Pseudo-Rigid-Body Models for Accurately and Efficiently Predicting Dynamics of Compliant Mechanisms." Master's thesis, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu15414414341246

    Chicago Manual of Style (17th edition)