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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.75 No.6
- 발행연도
- 2020.1
- 수록면
- 747 - 769 (23page)
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초록· 키워드
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This paper provides a semi-analytical approach to investigate the variations of 3D displacement components, electric potential, stresses, electric displacements and transverse vibration frequencies in laminated piezoelectric composite plates based on the scaled boundary finite element method (SBFEM) and the precise integration algorithm (PIA). The proposed approach can analyze the static and dynamic responses of multilayered piezoelectric plates with any number of laminae, various geometrical shapes, boundary conditions, thickness-to-length ratios and stacking sequences. Only a longitudinal surface of the plate is discretized into 2D elements, which helps to improve the computational efficiency. Comparing with plate theories and other numerical methods, only three displacement components and the electric potential are set as the basic unknown variables and can be represented analytically through the transverse direction. The whole derivation is built upon the three dimensional key equations of elasticity for the piezoelectric materials and no assumptions on the plate kinematics have been taken. By virtue of the equilibrium equations, the constitutive relations and the introduced set of scaled boundary coordinates, three-dimensional governing partial differential equations are converted into the second order ordinary differential matrix equation. Furthermore, aided by the introduced internal nodal force, a first order ordinary differential equation is obtained with its general solution in the form of a matrix exponent. To further improve the accuracy of the matrix exponent in the SBFEM, the PIA is employed to make sure any desired accuracy of the mechanical and electric variables. By virtue of the kinetic energy technique, the global mass matrix of the composite plates constituted by piezoelectric laminae is constructed for the first time based on the SBFEM. Finally, comparisons with the exact solutions and available results are made to confirm the accuracy and effectiveness of the developed methodology. What’s more, the effect of boundary conditions, thickness-to-length ratios and stacking sequences of laminae on the distributions of natural frequencies, mechanical and electric fields in laminated piezoelectric composite plates is evaluated.
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참고문헌 (13)
참고문헌 신청
Torres, D. A. F. / 2010 / HSDT-layerwise analytical solution for rectangular piezoelectric laminated plates / Compos. Struct 92(8):1763~1774
Torres, D. A. F. / 2011 / Evaluation and verification of an HSDT-Layerwise generalized finite element formulation for adaptive piezoelectric laminated plates / Comput. Meth. Appl. Mech. Eng. 200(5-8):675~691
Vel, S. S. / 2004 / Analytical solution for the cylindrical bending vibration of piezoelectric composite plates / Int. J. Solids Struct 41(5-6):1625~1643
Vidal, P. / 2016 / Modeling of piezoelectric plates with variables separation for static analysis / Smart Mater. Struct 25(5):055043
Wang, J. / 2000 / Higher-order theories of piezoelectric plates and applications / Appl. Mech. Rev 53(4):87~99
Torres, D. A. F. / 2011 / Evaluation and verification of an HSDT-Layerwise generalized finite element formulation for adaptive piezoelectric laminated plates / Comput. Meth. Appl. Mech. Eng. 200(5-8):675~691
Vel, S. S. / 2004 / Analytical solution for the cylindrical bending vibration of piezoelectric composite plates / Int. J. Solids Struct 41(5-6):1625~1643
Vidal, P. / 2016 / Modeling of piezoelectric plates with variables separation for static analysis / Smart Mater. Struct 25(5):055043
Wang, J. / 2000 / Higher-order theories of piezoelectric plates and applications / Appl. Mech. Rev 53(4):87~99
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