Complex mode dynamic analysis of flexible mechanism systems with piezoelectric sensors and actuators

Xianmin Zhang, Changjian Shao, Yunwen Shen, Arthur G. Erdman

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


A method has been developed for analyzing the elastodynamic response of high-speed flexible linkage mechanisms with piezoelectric sensors and actuators. The finite element analysis model is obtained by using a mixed variational approach with Hamilton's principle. An efficient solution method is developed on the basis of complex mode theory. A four-bar linkage mechanism with all flexible links is employed as an example to demonstrate the capability of the proposed method. The investigation provides a theoretical basis for complex mode active vibration control of high-speed flexible mechanism systems.

Original languageEnglish (US)
Pages (from-to)51-70
Number of pages20
JournalMultibody System Dynamics
Issue number1
StatePublished - Aug 2002

Bibliographical note

Funding Information:
This research was supported by the National Natural Science Foundation of China under grants 59975056, 59605001, the Foundation for University Key Teacher by the Ministry of Education, the Natural Science Foundation of Guangdong Province under grants 20000783, 970381 and the elitist Foundation of Guangdong Province. The first author gratefully acknowledges this support.


  • Complex mode
  • Dynamic analysis
  • Equations of motion
  • Flexible mechanism
  • Piezoelectric sensors and actuators
  • Simulation


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