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.
|出版狀態||Published - 2006 十二月 1|
|事件||10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010 - Bangkok, Thailand|
持續時間: 2006 八月 3 → 2006 八月 5
|Other||10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010|
|期間||06-08-03 → 06-08-05|
All Science Journal Classification (ASJC) codes