A PIEZOTHERMOELASTIC THIN SHELL THEORY APPLIED TO ACTIVE STRUCTURES

被引：66

作者：

TZOU, HS

HOWARD, RV

机构：

[1] Department of Mechanical Engineering, University of Kentucky, Lexington, KY

[2] Corning Inc., Harrodsburg, KY

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1994年 / 116卷 / 03期

关键词：

D O I：

10.1115/1.2930428

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

''Smart '' structures with integrated sensors, actuators, and control electronics are of importance to the next-generation high-performance structural systems. Piezoelectric materials possess unique electromechanical properties, the direct and converse effects, which, respectively, can be used in sensor and actuator applications. In this study, piezothermoelastic characteristics of piezoelectric shell continua are studied and applications of the theory to active structures in sensing and control are discussed. A generic piezothermoelastic shell theory for thin piezoelectric shells is derived, using the linear piezoelectric theory and Kirchhoff-Love assumptions. It shows that the piezothermoelastic equations, in three principal directions, include thermal induced loads, as well as conventional electric and mechanical loads. The electric membrane forces and moments induced by the con verse effect can be used to control the thermal and mechanical loads. A simplification procedure, based on the Lame parameters and radii of curvatures, is proposed and applications of the theory to (1) a piezoelectric cylindrical shell, (2) a piezoelectric ring, and (3) a piezoelectric beam are demonstrated.

引用

页码：295 / 302

页数：8

共 18 条

[1]

Chau L.K., The Theory of Piezoelectric Shells, PMM U.S.S.R, 50, 1, pp. 98-105, (1986)

[2]

Dokmeci M.C., Theory of Vibrations of Coated, Thermopiezoelectric Laminae, J. Math. Phys., 19, 1, (1978)

[3]

Rogacheva N.N., Equations of State of Piezoceramic Shells, PMM U.S.S.R., 45, 5, pp. 677-684, (1982)

[4]

Rogacheva N.N., On Stain-Venant Type Conditions in the Theory of Piezoelastic Shells, PMM U.S.S.R., 48, 2, pp. 213-216, (1984)

[5]

Rogacheva N.N., On Boundary Conditions in the Theory of Piezoceramic Shells Polarized Along Coordinate Lines, PMM U.S.S.R., 47, 2, pp. 220-226, (1984)

[6]

Rogacheva N.N., Classification of Free Piezoceramic Shell Vibrations, PMM U.S.S.R., 50, 1, pp. 106-111, (1986)

[7]

Senik N.A., Kudriavtsev B.A., Equations on the Theory of Piezoceramic Shells, Mechanics of a Solid Deformable Body and Related Analytical Problems, Moscow, Izd. Mosk, Inst. Chim. Mashinostroeniia, (1980)

[8]

Soedel W., Vibrations of Plates and Shells, (1981)

[9]

Tzou H.S., Distributed Modal Identification and Vibration Control of Continua: Theory and Applications, ASME, Journal of Dynamic Systems, Measurement, and Control, 113, 3, pp. 494-499, (1991)

[10]

Tzou H.S., Piezoelectric Shells (Distributed Sensing and Control of Continua, (1993)

← 1 2 →