Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (7): 873-881 .doi: https://doi.org/10.1007/s10483-007-0704-x

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Lateral resonances in initial stressed 1-3 piezocomposites

ZHANG Hong-yan, SHEN Ya-peng, YIN Guan-sheng   

    1. School of Science, Chang'an University, Xi'an 710064, P. R. China;
    2. School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, P. R. China
  • Received:2006-06-13 Revised:2007-05-17 Online:2007-07-18 Published:2007-07-18
  • Contact: ZHANG Hong-yan

Abstract: A theoretical analysis of the lateral resonances in 1-3 piezocomposites with poling initial stress is conducted using the Bloch wave theory. Based on the linear piezoelectricity theory, theoretical formulations that include initial stress for the propagation of acoustic plane waves are made. Numerical calculations are performed to study the effects of the initial stress on the lateral mode frequencies and the stop band. It is found that lateral mode frequencies increase with the piezoelectricity of the piezocomposites, but decrease with the poling initial stress. The influence of the initial shear stress on the lateral mode frequencies is minimal, and can thus be neglected.

Key words: null

2010 MSC Number: 

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