A Kinetostatic and Dynamic Modeling Method of Piezo-Actuated Compliant Mechanisms Based on Dynamic Stiffness Matrix Method

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Advances in Mechanism, Machine Science and Engineering in China (CCMMS 2022)

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Abstract

Piezoelectric actuator is a critical component of piezo-actuated compliant mechanisms, especially for the precision positioning stage. To design and optimize a stage with high bandwidth and proper motion range, it is necessary to establish a kinetostatic and dynamic model for the piezo-stack widely used in nano-positioning stage. Based on piezoelectric vibration theory and dynamic stiffness method, a new modeling method for compliant mechanisms actuated by piezo-stack has been proposed in this work. The planar dynamic stiffness matrices of the piezo-plate, the piezo-stack, and the piezoelectric actuator with insulating plates are deduced by considering PEA as several beam components with external forces equivalent to piezo-actuated forces. To verify the proposed modeling method, the dynamic models of piezoelectric actuator and two piezo-actuated compliant mechanisms are deduced based on the proposed method and validated by the finite element method.

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Acknowledgements

Supported by National Natural Science Foundation of China (Grant No. 52130508)

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Correspondence to **anmin Zhang .

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Lai, J., Zhang, X., Song, D., Yuan, L., Li, H., Zhu, B. (2023). A Kinetostatic and Dynamic Modeling Method of Piezo-Actuated Compliant Mechanisms Based on Dynamic Stiffness Matrix Method. In: Liu, X. (eds) Advances in Mechanism, Machine Science and Engineering in China. CCMMS 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-9398-5_39

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  • DOI: https://doi.org/10.1007/978-981-19-9398-5_39

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-9397-8

  • Online ISBN: 978-981-19-9398-5

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