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Proceedings Paper

Finite element modeling of the transient response of smart structures
Author(s): Young-Hun Lim; Vasundara V. Varadan; Vijay K. Varadan
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Paper Abstract

A finite element (FE) formulation is presented for modeling the dynamical response of smart structures with embedded piezoelectric ceramic devices subjected to transient loading. The FEM formulation presented is based on a variational principle using the concept of virtual work. An unconditionally stable method ((alpha) -method) is utilized for the direct integration of the equations of motion and can be put in the form of a 3-step linear multistep method of second order equations. A thin cantilever plate with piezoelectric devices is investigated to show the feasibility of the analysis and numerical simulation. The code employs 20 node isoparametric 3D piezoelectric elements, flat-shell elements and transition elements at the interface of the piezoelectric devices and the plate. Under a given external loading, the structure and the embedded sensors deform and the voltage response of the sensor can be calculated as a function of time. Such calculations can be useful as a design tool for smart structures.

Paper Details

Date Published: 31 May 1996
PDF: 10 pages
Proc. SPIE 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, (31 May 1996); doi: 10.1117/12.240802
Show Author Affiliations
Young-Hun Lim, The Pennsylvania State Univ. (United States)
Vasundara V. Varadan, The Pennsylvania State Univ. (United States)
Vijay K. Varadan, The Pennsylvania State Univ. (United States)

Published in SPIE Proceedings Vol. 2715:
Smart Structures and Materials 1996: Mathematics and Control in Smart Structures
Vasundara V. Varadan; Jagdish Chandra, Editor(s)

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