OBTAINING THE NATURAL FREQUENCIES OF MODERATELY THICK ORTHOTROPIC PLATES WITH PIEZOELECTRIC PATCHES USING THE RITZ METHOD

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HOSSEINI HASHEMI SH.; FAZELI S.; FADAEE M.

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Journal: Modares Mechanical Engineering Year:2012 | Volume:11 | Issue:4 Page(s): 65-74

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Title

OBTAINING THE NATURAL FREQUENCIES OF MODERATELY THICK ORTHOTROPIC PLATES WITH PIEZOELECTRIC PATCHES USING THE RITZ METHOD

Author(s)

HOSSEINI HASHEMI SH. | FAZELI S. | FADAEE M. | Issue Writer Certificate

Keywords

NATURAL FREQUENCYQ2

MINDLIN PLATEQ2

RITZ METHODQ2

PIEZOELECTRICQ2

Abstract

In this study, natural frequencies of rectangular orthotropic plates with PIEZOELECTRIC patches are obtained. Simply supported boundary conditions are assumed at the plate edges. Ritz approach based on the principle of minimum potential energy is applied to obtain the frequency parameters of rectangular plate. Since displacement fields of the plate are postulated by trigonometric series function, solution is a semi analytical one. For verifying the accuracy of this method, results are for the isotropic and PIEZOELECTRIC plates are compared with those reported in the literature. As we see a good conformance is derived from the obtained results and the exact solution. Finally, natural frequencies of a rectangular MINDLIN PLATE with surface bounded PIEZOELECTRIC patches are obtained.

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APA: Copy

HOSSEINI HASHEMI, SH., FAZELI, S., & FADAEE, M.. (2012). OBTAINING THE NATURAL FREQUENCIES OF MODERATELY THICK ORTHOTROPIC PLATES WITH PIEZOELECTRIC PATCHES USING THE RITZ METHOD. MODARES MECHANICAL ENGINEERING, 11(4), 65-74. SID. https://sid.ir/paper/179377/en

Vancouver: Copy

HOSSEINI HASHEMI SH., FAZELI S., FADAEE M.. OBTAINING THE NATURAL FREQUENCIES OF MODERATELY THICK ORTHOTROPIC PLATES WITH PIEZOELECTRIC PATCHES USING THE RITZ METHOD. MODARES MECHANICAL ENGINEERING[Internet]. 2012;11(4):65-74. Available from: https://sid.ir/paper/179377/en

IEEE: Copy

SH. HOSSEINI HASHEMI, S. FAZELI, and M. FADAEE, “OBTAINING THE NATURAL FREQUENCIES OF MODERATELY THICK ORTHOTROPIC PLATES WITH PIEZOELECTRIC PATCHES USING THE RITZ METHOD,” MODARES MECHANICAL ENGINEERING, vol. 11, no. 4, pp. 65–74, 2012, [Online]. Available: https://sid.ir/paper/179377/en

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