Meshfree point interpolation methods for analysis of piezoelectric structures

Gui-Rong Liu; K. Y. Dai; Vijay K. Varadan

doi:10.1117/12.514462

14 October 2003 Meshfree point interpolation methods for analysis of piezoelectric structures

Gui-Rong Liu, K. Y. Dai, Vijay K. Varadan

Proceedings Volume 5062, Smart Materials, Structures, and Systems; (2003) https://doi.org/10.1117/12.514462
Event: Smart Materials, Structures, and Systems, 2002, Bangalore, India

Abstract

This paper summarizes the studies on meshfree point interpolation method (PIM) for static and dynamic analysis of piezoelectric structures. In the PIM methods, the problem domain is represented by a set of properly scattered nodes. The displacements and the electric potential of a point are interpolated by the values of nodes in its local support domain using shape functions derived from point interpolation scheme. Galerkin formulation is used to establish a set of system equations for arbitrary-shaped piezoelectric structures. Numerical examples are presented to demonstrate the validity and convergence of the present method and their results compare well with the conventional FEM results from ABAQUS as well as the experimental ones.

Citation Download Citation

Gui-Rong Liu, K. Y. Dai, and Vijay K. Varadan "Meshfree point interpolation methods for analysis of piezoelectric structures", Proc. SPIE 5062, Smart Materials, Structures, and Systems, (14 October 2003); https://doi.org/10.1117/12.514462

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