Piezolaminated beams with large deformations
Piezolaminated beams with large deformations
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DOI：
10.1016/s0020-7683(02)00341-4
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发表时间：
2002-08
影响因子：
3.6
通讯作者：
A. Mukherjee;A. S. Chaudhuri
中科院分区：
文献类型：
--
作者：
A. Mukherjee;A. S. Chaudhuri
本文的目的是证明大变形对压电材料和结构的影响。采用Tiersten提出的基于能量的机电压电本构关系。对于梁的大变形分析，考虑了冯卡门板方程的对应物。有限元法中的位移场是基于一阶剪切变形理论。采用基于Newton-Raphson方法的增量迭代法分析非线性平衡方程。在本算法中，考虑机电耦合效应的平衡检查。本文研究了悬臂梁和两端铰支的PVDF双压电晶片梁在横向和轴向载荷作用下的非线性效应。
The objective of the present paper is to demonstrate the effect of large deformations on the piezoelectric materials and structures. An energy based electromechanical piezoelectric constitutive law derived by Tiersten is adopted. For large deformation analysis of beams a counterpart of Von Karman's plate equation is considered. The displacement fields in finite element method are based on the first order shear deformation theory. To analyze the nonlinear equilibrium equations an incremental iterative technique based on the Newton–Raphson method is employed. In the present algorithm the equilibrium is examined considering the electromechanical coupling effects. Nonlinear effects due to transverse and axial loading on a cantilever and a pinned–pinned PVDF bimorph beam have been investigated.