FREE VIBRATION ANALYSIS OF THICK FUNCTIONALLY GRADED PIEZOELECTRIC RECTANGULAR PLATES IN CLOSED CIRCUIT CONDITION

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MOUSAVI Z.; SAIDI A.R.

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Journal: Journal of Aerospace Mechanics Year:2016 | Volume:12 | Issue:1 (43) (DYNAMICS, VIBRATIONS AND CONTROL) Page(s): 67-78

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Title

FREE VIBRATION ANALYSIS OF THICK FUNCTIONALLY GRADED PIEZOELECTRIC RECTANGULAR PLATES IN CLOSED CIRCUIT CONDITION

Author(s)

MOUSAVI Z. | SAIDI A.R. | Issue Writer Certificate

Keywords

FREE VIBRATIONQ2

RECTANGULAR PLATEQ2

FUNCTIONALLY GRADED PIEZOELECTRIC MATERIALQ1

THICK PLATEQ2

HIGHER-ORDER SHEAR AND NORMAL DEFORMABLE PLATE THEORYQ1

Abstract

In this article, FREE VIBRATION analysis of thick functionally graded piezoelectric RECTANGULAR PLATEs in closed circuit condition is investigated. Based on the HIGHER-ORDER SHEAR AND NORMAL DEFORMABLE PLATE THEORY, the governing equations are obtained using the principle of virtual work. The equations are then solved analytically, assuming the simply support boundary condition along all edges. In HIGHER-ORDER SHEAR AND NORMAL DEFORMABLE PLATE THEORY, the effects of the both transverse shear and normal deformations are considered and displacement, potentioal components are expanded in the thickness direction using the Legendre polynomials. Advantages of this theory compared to the shear theories is that given that deflection of the plate along the thickness is not constant, for THICK PLATE provides more accurate results. A power law distribution is used to explain the variation of mechanical, electrical and physical properties through the thickness of the functionally graded materials. Furthermore, after showing the accuracy of present analytical approach, the numerical results for different parameters such as power of FUNCTIONALLY GRADED PIEZOELECTRIC MATERIAL, various thickness to length ratio and piezoelectric effect on the plate natural frequencies has been studied.

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APA: Copy

MOUSAVI, Z., & SAIDI, A.R.. (2016). FREE VIBRATION ANALYSIS OF THICK FUNCTIONALLY GRADED PIEZOELECTRIC RECTANGULAR PLATES IN CLOSED CIRCUIT CONDITION. AEROSPACE MECHANICS JOURNAL, 12(1 (43) (DYNAMICS, VIBRATIONS AND CONTROL)), 67-78. SID. https://sid.ir/paper/102021/en

Vancouver: Copy

MOUSAVI Z., SAIDI A.R.. FREE VIBRATION ANALYSIS OF THICK FUNCTIONALLY GRADED PIEZOELECTRIC RECTANGULAR PLATES IN CLOSED CIRCUIT CONDITION. AEROSPACE MECHANICS JOURNAL[Internet]. 2016;12(1 (43) (DYNAMICS, VIBRATIONS AND CONTROL)):67-78. Available from: https://sid.ir/paper/102021/en

IEEE: Copy

Z. MOUSAVI, and A.R. SAIDI, “FREE VIBRATION ANALYSIS OF THICK FUNCTIONALLY GRADED PIEZOELECTRIC RECTANGULAR PLATES IN CLOSED CIRCUIT CONDITION,” AEROSPACE MECHANICS JOURNAL, vol. 12, no. 1 (43) (DYNAMICS, VIBRATIONS AND CONTROL), pp. 67–78, 2016, [Online]. Available: https://sid.ir/paper/102021/en

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