An asymptotic theory for dynamic response of doubly curved multilayered piezoelectric shells

Chih-Ping Wu, Jyh Yeuan Lo

Research output: Contribution to conferencePaper

Abstract

A three-dimensional (3D) asymptotic theory for dynamic analysis of doubly curved laminated piezoelectric shells is formulated on the basis of 3D piezoelectricity. By using the direct elimination, we reduce the twenty-two basic equations of 3D piezoelectricity to eight differential equations in terms of eight primary variables of elastic and electric fields. In the formulation, multiple time scales are introduced to eliminate the secular terms so that the asymptotic expansion is uniform and feasible. By means of nondimensionalization, asymptotic expansion and successive integration, we finally can obtain recurrent sets of governing equations for various order problems. The classical laminated piezoelectric shell theory (CST) is derived as a first-order approximation to the 3D piezoelectricity. Higher-order corrections can be determined by considering the solvability and orthonormality conditions in a systematic and consistent way. Several benchmark solutions for various piezoelectric laminates are given to demonstrate the performance of the theory.

Original languageEnglish
Pages23-28
Number of pages6
Publication statusPublished - 2006 Dec 1
Event10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010 - Bangkok, Thailand
Duration: 2006 Aug 32006 Aug 5

Other

Other10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010
CountryThailand
CityBangkok
Period06-08-0306-08-05

Fingerprint

Piezoelectricity
Dynamic response
Dynamic analysis
Laminates
Differential equations
Electric fields

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Building and Construction

Cite this

Wu, C-P., & Lo, J. Y. (2006). An asymptotic theory for dynamic response of doubly curved multilayered piezoelectric shells. 23-28. Paper presented at 10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010, Bangkok, Thailand.
Wu, Chih-Ping ; Lo, Jyh Yeuan. / An asymptotic theory for dynamic response of doubly curved multilayered piezoelectric shells. Paper presented at 10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010, Bangkok, Thailand.6 p.
@conference{23616d49212d49e185b18bbba732f339,
title = "An asymptotic theory for dynamic response of doubly curved multilayered piezoelectric shells",
abstract = "A three-dimensional (3D) asymptotic theory for dynamic analysis of doubly curved laminated piezoelectric shells is formulated on the basis of 3D piezoelectricity. By using the direct elimination, we reduce the twenty-two basic equations of 3D piezoelectricity to eight differential equations in terms of eight primary variables of elastic and electric fields. In the formulation, multiple time scales are introduced to eliminate the secular terms so that the asymptotic expansion is uniform and feasible. By means of nondimensionalization, asymptotic expansion and successive integration, we finally can obtain recurrent sets of governing equations for various order problems. The classical laminated piezoelectric shell theory (CST) is derived as a first-order approximation to the 3D piezoelectricity. Higher-order corrections can be determined by considering the solvability and orthonormality conditions in a systematic and consistent way. Several benchmark solutions for various piezoelectric laminates are given to demonstrate the performance of the theory.",
author = "Chih-Ping Wu and Lo, {Jyh Yeuan}",
year = "2006",
month = "12",
day = "1",
language = "English",
pages = "23--28",
note = "10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010 ; Conference date: 03-08-2006 Through 05-08-2006",

}

Wu, C-P & Lo, JY 2006, 'An asymptotic theory for dynamic response of doubly curved multilayered piezoelectric shells' Paper presented at 10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010, Bangkok, Thailand, 06-08-03 - 06-08-05, pp. 23-28.

An asymptotic theory for dynamic response of doubly curved multilayered piezoelectric shells. / Wu, Chih-Ping; Lo, Jyh Yeuan.

2006. 23-28 Paper presented at 10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010, Bangkok, Thailand.

Research output: Contribution to conferencePaper

TY - CONF

T1 - An asymptotic theory for dynamic response of doubly curved multilayered piezoelectric shells

AU - Wu, Chih-Ping

AU - Lo, Jyh Yeuan

PY - 2006/12/1

Y1 - 2006/12/1

N2 - A three-dimensional (3D) asymptotic theory for dynamic analysis of doubly curved laminated piezoelectric shells is formulated on the basis of 3D piezoelectricity. By using the direct elimination, we reduce the twenty-two basic equations of 3D piezoelectricity to eight differential equations in terms of eight primary variables of elastic and electric fields. In the formulation, multiple time scales are introduced to eliminate the secular terms so that the asymptotic expansion is uniform and feasible. By means of nondimensionalization, asymptotic expansion and successive integration, we finally can obtain recurrent sets of governing equations for various order problems. The classical laminated piezoelectric shell theory (CST) is derived as a first-order approximation to the 3D piezoelectricity. Higher-order corrections can be determined by considering the solvability and orthonormality conditions in a systematic and consistent way. Several benchmark solutions for various piezoelectric laminates are given to demonstrate the performance of the theory.

AB - A three-dimensional (3D) asymptotic theory for dynamic analysis of doubly curved laminated piezoelectric shells is formulated on the basis of 3D piezoelectricity. By using the direct elimination, we reduce the twenty-two basic equations of 3D piezoelectricity to eight differential equations in terms of eight primary variables of elastic and electric fields. In the formulation, multiple time scales are introduced to eliminate the secular terms so that the asymptotic expansion is uniform and feasible. By means of nondimensionalization, asymptotic expansion and successive integration, we finally can obtain recurrent sets of governing equations for various order problems. The classical laminated piezoelectric shell theory (CST) is derived as a first-order approximation to the 3D piezoelectricity. Higher-order corrections can be determined by considering the solvability and orthonormality conditions in a systematic and consistent way. Several benchmark solutions for various piezoelectric laminates are given to demonstrate the performance of the theory.

UR - http://www.scopus.com/inward/record.url?scp=84886676668&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84886676668&partnerID=8YFLogxK

M3 - Paper

SP - 23

EP - 28

ER -

Wu C-P, Lo JY. An asymptotic theory for dynamic response of doubly curved multilayered piezoelectric shells. 2006. Paper presented at 10th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2010, Bangkok, Thailand.