EXACT CLOSED-FORM FREE VIBRATION ANALYSIS OF MODERATELY THICK RECTANGULAR FUNCTIONALLY GRADED PLATES WITH TWO BONDED PIEZOELECTRIC LAYERS

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HOSSEINI HASHEMI SH.; AKHAVAN H.; FADAEE M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: Modares Mechanical Engineering Year:2011 | Volume:11 | Issue:3 Page(s): 57-74

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Title

EXACT CLOSED-FORM FREE VIBRATION ANALYSIS OF MODERATELY THICK RECTANGULAR FUNCTIONALLY GRADED PLATES WITH TWO BONDED PIEZOELECTRIC LAYERS

Author(s)

HOSSEINI HASHEMI SH. | AKHAVAN H. | FADAEE M. | Issue Writer Certificate

Keywords

MINDLIN THEORYQ2

NATURAL FREQUENCYQ2

FGMQ2

POWER-LOW DISTRIBUTIONQ2

Abstract

In this paper, free vibration analysis of moderately thick smart FG rectangular plate is presented on the basis of Mindlin plate theory. This structure is composed of a host FG plate and two bonded piezoelectric layers. The plate has two opposite edges simply supported (i.e., Levy-type rectangular plates). The closed circuit piezoelectric layers can be used as an actuator. According to a power-law distribution of the volume fraction of the constituents, material properties vary continuously through the thickness of host plate. Using Hamilton’s principle and Maxwell electrostatic equation, six complex coupled equations are introduced. These equations are exactly solved introducing the new potential and auxiliary functions as well as using separation of variables method. The accuracy of the frequencies is verified by the available literature and the finite element method. The present exact solution can accurately predict not boundary conditions, gradient index and thickness of piezoelectric layers on the NATURAL FREQUENCY are investigated.

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APA: Copy

HOSSEINI HASHEMI, SH., AKHAVAN, H., & FADAEE, M.. (2011). EXACT CLOSED-FORM FREE VIBRATION ANALYSIS OF MODERATELY THICK RECTANGULAR FUNCTIONALLY GRADED PLATES WITH TWO BONDED PIEZOELECTRIC LAYERS. MODARES MECHANICAL ENGINEERING, 11(3), 57-74. SID. https://sid.ir/paper/178093/en

Vancouver: Copy

HOSSEINI HASHEMI SH., AKHAVAN H., FADAEE M.. EXACT CLOSED-FORM FREE VIBRATION ANALYSIS OF MODERATELY THICK RECTANGULAR FUNCTIONALLY GRADED PLATES WITH TWO BONDED PIEZOELECTRIC LAYERS. MODARES MECHANICAL ENGINEERING[Internet]. 2011;11(3):57-74. Available from: https://sid.ir/paper/178093/en

IEEE: Copy

SH. HOSSEINI HASHEMI, H. AKHAVAN, and M. FADAEE, “EXACT CLOSED-FORM FREE VIBRATION ANALYSIS OF MODERATELY THICK RECTANGULAR FUNCTIONALLY GRADED PLATES WITH TWO BONDED PIEZOELECTRIC LAYERS,” MODARES MECHANICAL ENGINEERING, vol. 11, no. 3, pp. 57–74, 2011, [Online]. Available: https://sid.ir/paper/178093/en

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