Finite element modeling of the transient response of smart structures

Young-Hun Lim; Vasundara V. Varadan; Vijay K. Varadan

doi:10.1117/12.240802

31 May 1996 Finite element modeling of the transient response of smart structures

Young-Hun Lim, Vasundara V. Varadan, Vijay K. Varadan

Proceedings Volume 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures; (1996) https://doi.org/10.1117/12.240802
Event: 1996 Symposium on Smart Structures and Materials, 1996, San Diego, CA, United States

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.

Citation Download Citation

Young-Hun Lim, Vasundara V. Varadan, and Vijay K. Varadan "Finite element modeling of the transient response of smart structures", Proc. SPIE 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, (31 May 1996); https://doi.org/10.1117/12.240802

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