Shape sensitivity analysis of piezoelectric structures by the adjoint variable method

R. Alsan Meric; Sunil Saigal

doi:10.2514/6.1990-1138

Shape sensitivity analysis of piezoelectric structures by the adjoint variable method

Research output: Contribution to journal › Conference article › peer-review

Abstract

Shape sensitivity expressions are derived for linear piezoelectric structures with coupled mechanical and elastic fields. By adopting the quasi-electrostatic approximation for these inherently anisotropic materials, the adjoint variable method of optimization and the material derivative formulation of shape variations are utilized in a systematic procedure to evaluate the total variation of a general performance criterion with respect to shape variations. The material (total) derivative of the adopted integral functional is found in terms of primary and adjoint quantities, as well as the deformation velocity field. Since the structure is assumed to undergo dynamic response, domain integrations evaluated at the initial time are also needed in this formulation.

Original language	English (US)
Pages (from-to)	394-402
Number of pages	9
Journal	Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Issue number	pt 1
DOIs	https://doi.org/10.2514/6.1990-1138
State	Published - 1990
Externally published	Yes
Event	31st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Part 3 (of 4): Structural Dynamics I - Long Beach, CA, USA Duration: Apr 2 1990 → Apr 4 1990

All Science Journal Classification (ASJC) codes

Architecture
General Materials Science
Aerospace Engineering
Mechanics of Materials
Mechanical Engineering

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10.2514/6.1990-1138

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title = "Shape sensitivity analysis of piezoelectric structures by the adjoint variable method",

abstract = "Shape sensitivity expressions are derived for linear piezoelectric structures with coupled mechanical and elastic fields. By adopting the quasi-electrostatic approximation for these inherently anisotropic materials, the adjoint variable method of optimization and the material derivative formulation of shape variations are utilized in a systematic procedure to evaluate the total variation of a general performance criterion with respect to shape variations. The material (total) derivative of the adopted integral functional is found in terms of primary and adjoint quantities, as well as the deformation velocity field. Since the structure is assumed to undergo dynamic response, domain integrations evaluated at the initial time are also needed in this formulation.",

author = "Meric, {R. Alsan} and Sunil Saigal",

year = "1990",

doi = "10.2514/6.1990-1138",

language = "English (US)",

pages = "394--402",

journal = "Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference",

issn = "0273-4508",

publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",

number = "pt 1",

note = "31st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Part 3 (of 4): Structural Dynamics I ; Conference date: 02-04-1990 Through 04-04-1990",

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TY - JOUR

T1 - Shape sensitivity analysis of piezoelectric structures by the adjoint variable method

AU - Meric, R. Alsan

AU - Saigal, Sunil

PY - 1990

Y1 - 1990

N2 - Shape sensitivity expressions are derived for linear piezoelectric structures with coupled mechanical and elastic fields. By adopting the quasi-electrostatic approximation for these inherently anisotropic materials, the adjoint variable method of optimization and the material derivative formulation of shape variations are utilized in a systematic procedure to evaluate the total variation of a general performance criterion with respect to shape variations. The material (total) derivative of the adopted integral functional is found in terms of primary and adjoint quantities, as well as the deformation velocity field. Since the structure is assumed to undergo dynamic response, domain integrations evaluated at the initial time are also needed in this formulation.

AB - Shape sensitivity expressions are derived for linear piezoelectric structures with coupled mechanical and elastic fields. By adopting the quasi-electrostatic approximation for these inherently anisotropic materials, the adjoint variable method of optimization and the material derivative formulation of shape variations are utilized in a systematic procedure to evaluate the total variation of a general performance criterion with respect to shape variations. The material (total) derivative of the adopted integral functional is found in terms of primary and adjoint quantities, as well as the deformation velocity field. Since the structure is assumed to undergo dynamic response, domain integrations evaluated at the initial time are also needed in this formulation.

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U2 - 10.2514/6.1990-1138

DO - 10.2514/6.1990-1138

M3 - Conference article

AN - SCOPUS:0025228336

SN - 0273-4508

SP - 394

EP - 402

JO - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

JF - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

IS - pt 1

T2 - 31st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Part 3 (of 4): Structural Dynamics I

Y2 - 2 April 1990 through 4 April 1990

ER -

Shape sensitivity analysis of piezoelectric structures by the adjoint variable method

Abstract

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