Dynamic analysis of structures with piezoelectric actuators based on thermal analogy method

Original Article

Abstract

The thermal analogy method is presented to predict the dynamic behavior of complex structures with piezoelectric actuators. Based on the analogy between the converse piezoelectric effect and thermoelastic effect, an applied electric field is modeled as a thermal load and piezoelectric strain coefficients characterizing an actuator are input as thermal expansion coefficients. Thus a voltage actuation can be exactly simulated using conventional tri-dimensional elastic elements with the thermal actuation rather than using piezoelectric elements. Finally, numerical results in terms of the transient response of a cantilever beam with surface bonded piezoelectric actuators demonstrates the validity of this method, which can be used to assist in the design of complex smart structures and implementation of piezoelectric control systems.

Keywords

Finite element Piezoelectric actuator  Smart structure Thermal analogy  

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References

  1. 1.
    Lam KM, Peng XQ, Liu GR (1997) A finite-element model for piezoelectric composite laminates. Smart Mater Struct 6:583CrossRefGoogle Scholar
  2. 2.
    Wang SY, Quek ST, Ang KK (2001) Vibration control of smart piezoelectric composite plates. Smart Mater Struct 10:637CrossRefGoogle Scholar
  3. 3.
    Benjeddou A (2000) Advances in piezoelectric finite element modeling of adaptive structural elements: a survey. Comput Struct 76:347CrossRefGoogle Scholar
  4. 4.
    Freed BD, Babusk V (1997) Finite element modeling of composite piezoelectric structures with MSC/NASTRAN. SPIE 4th Annual Symposium on Smart Structures and material: Smart Structures and Integrated Systems, SPIE 3041:676Google Scholar
  5. 5.
    Moetakef M, Joshi S, Lawrence K (1996) Elastic wave generation by piezoceramic patches. AIAA J 34:(10)2110Google Scholar
  6. 6.
    Gandhi MV, Thompson BS (1992) Smart materials and structures. Chapman & Hall, LondonGoogle Scholar

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.State Key Lab. of Vibration, Shock & NoiseShanghai Jiao Tong UniversityShanghaiP.R. China

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