An asymptotic theory for dynamic response of laminated piezoelectric shells

C. P. Wu, J. Y. Lo

研究成果: Article同行評審

21 引文 斯高帕斯(Scopus)


A three-dimensional (3D) asymptotic theory for dynamic analysis of doubly curved laminated piezoelectric shells is formulated on the basis of 3D piezoelectricity. By using the direct elimination, we reduce the twenty-two basic equations of 3D piezoelectricity to eight differential equations in terms of eight primary variables of elastic and electric fields. In the formulation, multiple time scales are introduced to eliminate the secular terms so that the asymptotic expansion is uniform and feasible. By means of nondimensionalization, asymptotic expansion and successive integration, we finally can obtain recurrent sets of governing equations for various order problems. The classical laminated piezoelectric shell theory (CST) is derived as a first-order approximation to the 3D piezoelectricity. Higher-order corrections can be determined by considering the solvability and orthonormality conditions in a systematic and consistent way. Several benchmark solutions for various piezoelectric laminates are given to demonstrate the performance of the theory.

頁(從 - 到)177-208
期刊Acta Mechanica
出版狀態Published - 2006 六月

All Science Journal Classification (ASJC) codes

  • 計算力學
  • 機械工業


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