TY - GEN
T1 - VIBRATION ANALYSIS OF AN ANISOTROPIC MAGNETOELECTRO-ELASTIC PLATE WITH HOLES/CRACKS
AU - Hsu, Chia Wen
AU - Hwu, Chyanbin
AU - Lo, Ting Hsiang
AU - Huang, Wan Yi
N1 - Funding Information:
The authors would like to thank Ministry of Science and Technology, TAIWAN, R.O.C for support through Grants MOST 110-2221-E-006-090-MY3.
Publisher Copyright:
© 2023 Proceedings of the International Congress on Sound and Vibration. All rights reserved.
PY - 2023
Y1 - 2023
N2 - Due to the intrinsic coupling phenomenon of anisotropic magneto-electro-elastic (MEE) materials, not too many commercial software can deal with the anisotropic MEE plates, especially for its associated vibration analysis. Usually, to get higher accuracy for a problem with holes and/or cracks very fine meshes near the crack tips or hole boundaries are required for the conventional finite element method (FEM) or boundary element method (BEM). In this study, by converting elastic to MEE with Stroh's complex variable formalism, using the anisotropic elastostatic fundamental solutions and employing the dual reciprocity method, a special boundary element method (SBEM) is developed to perform vibration analysis of anisotropic MEE plates with holes/cracks. Since the special fundamental solution used in SBEM satisfies the traction-free condition along the hole/crack boundaries, no meshes are required along the hole/crack surfaces. Moreover, this fundamental solution is expressed in terms of Stroh's formalism that preserves the same mathematical form for MEE and elastic materials. Only suitable matrix expansion, which includes the extra electric and magneto information, is needed for converting the associated elastic-BEM to MEE-BEM. The dual reciprocity method allows us to use the static fundamental solutions instead of the one for dynamic analysis which is not available for the MEE plates with holes/cracks. The vibration analysis includes free vibration, steady-state forced vibration and transient analysis. Since no commercial finite element software is available for the current problem, the correctness of our proposed SBEM is verified by the reduced cases of piezoelectric plates with holes/cracks. The numerical results show that the proposed SBEM is much more accurate and efficient than the conventional FEM and BEM. After the verification, general cases of anisotropic MEE plates with holes/cracks are illustrated to study their coupling behavior.
AB - Due to the intrinsic coupling phenomenon of anisotropic magneto-electro-elastic (MEE) materials, not too many commercial software can deal with the anisotropic MEE plates, especially for its associated vibration analysis. Usually, to get higher accuracy for a problem with holes and/or cracks very fine meshes near the crack tips or hole boundaries are required for the conventional finite element method (FEM) or boundary element method (BEM). In this study, by converting elastic to MEE with Stroh's complex variable formalism, using the anisotropic elastostatic fundamental solutions and employing the dual reciprocity method, a special boundary element method (SBEM) is developed to perform vibration analysis of anisotropic MEE plates with holes/cracks. Since the special fundamental solution used in SBEM satisfies the traction-free condition along the hole/crack boundaries, no meshes are required along the hole/crack surfaces. Moreover, this fundamental solution is expressed in terms of Stroh's formalism that preserves the same mathematical form for MEE and elastic materials. Only suitable matrix expansion, which includes the extra electric and magneto information, is needed for converting the associated elastic-BEM to MEE-BEM. The dual reciprocity method allows us to use the static fundamental solutions instead of the one for dynamic analysis which is not available for the MEE plates with holes/cracks. The vibration analysis includes free vibration, steady-state forced vibration and transient analysis. Since no commercial finite element software is available for the current problem, the correctness of our proposed SBEM is verified by the reduced cases of piezoelectric plates with holes/cracks. The numerical results show that the proposed SBEM is much more accurate and efficient than the conventional FEM and BEM. After the verification, general cases of anisotropic MEE plates with holes/cracks are illustrated to study their coupling behavior.
UR - http://www.scopus.com/inward/record.url?scp=85170638538&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85170638538&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85170638538
T3 - Proceedings of the International Congress on Sound and Vibration
BT - Proceedings of the 29th International Congress on Sound and Vibration, ICSV 2023
A2 - Carletti, Eleonora
PB - Society of Acoustics
T2 - 29th International Congress on Sound and Vibration, ICSV 2023
Y2 - 9 July 2023 through 13 July 2023
ER -