Building Dynamic Stiffness Matrix Library of Flexure Members for Use in a Dynamic Stiffness Model of Compliant Mechanisms

  • Mingxiang LingEmail author
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


Based on our studies on the kinetostatic and dynamic modeling of compliant mechanisms with a dynamic stiffness method, this paper continues to build the dynamic stiffness matrix library for common flexure members, so as to make the technique competent for all kinds of compliant mechanisms. Designers can choose suitable dynamic stiffness matrix from the library to analyze the kinetostatics and dynamics of their involved mechanisms. One can also rebuild a customized dynamic stiffness matrix and readily add it into the library thanks to the unified definition and regular form. In this way, the concurrent kinetostatics and dynamics of complex compliant mechanisms with hybrid flexible beams, flexure hinges and rigid bodies can be analyzed straightforwardly in a statics-similar manner. A micro-gripper from the previous literature is used as the case study to verify the proposed approach. The results show the concise modeling procedure of the presented method with high prediction accuracy.


Compliant Mechanisms Flexure Hinges Nano-Positioning Stage 


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This work was supported by the National Natural Science Foundation of China [grant number 51705487] and the National Defense Technology Program of China [grant number JSHS2018212C001].


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of Systems Engineering, China Academy of Engineering PhysicsMianyangChina
  2. 2.State Key Laboratory for Strength and Vibration of Mechanical StructuresXi’an Jiaotong UniversityXi’anChina

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