Investigating Free Vibration and Static Response of Functionally Graded Piezoelectric Beam Based on Two-dimensional Elasticity Theory

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MALEKI M.; MOHAMMADI S.; FOROUTAN M.

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Journal: JOURNAL OF MECHANICAL ENGINEERING Year:2018 | Volume:48 | Issue:3 (84) Page(s): 319-328

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Title

Investigating Free Vibration and Static Response of Functionally Graded Piezoelectric Beam Based on Two-dimensional Elasticity Theory

Author(s)

MALEKI M. | MOHAMMADI S. | FOROUTAN M. | Issue Writer Certificate

Keywords

Functionally graded piezoelectrics material

Two dimensional elasticity theory

Static response

Natural frequency

Finite element method

Abstract

Free vibration and static analysis of a functionally graded piezoelectric beam is carried out by the Finite element method in present study. Mechanical, electrical and electromechanical properties are estimated by the power low distribution through the thickness of the beam. Governing equations are derived using Hamilton’ s principle and two dimensional theory of elasticity. Convergence of the proposed Finite element method is verified by several examples in free vibration and static analysis under mechanical and electrical loads with different types of boundary conditions. After validating the model, effect of different parameters are investigated on natural frequencies and Static response of functionally graded piezoelectric beam.

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APA: Copy

MALEKI, M., MOHAMMADI, S., & FOROUTAN, M.. (2018). Investigating Free Vibration and Static Response of Functionally Graded Piezoelectric Beam Based on Two-dimensional Elasticity Theory. JOURNAL OF MECHANICAL ENGINEERING, 48(3 (84) ), 319-328. SID. https://sid.ir/paper/270140/en

Vancouver: Copy

MALEKI M., MOHAMMADI S., FOROUTAN M.. Investigating Free Vibration and Static Response of Functionally Graded Piezoelectric Beam Based on Two-dimensional Elasticity Theory. JOURNAL OF MECHANICAL ENGINEERING[Internet]. 2018;48(3 (84) ):319-328. Available from: https://sid.ir/paper/270140/en

IEEE: Copy

M. MALEKI, S. MOHAMMADI, and M. FOROUTAN, “Investigating Free Vibration and Static Response of Functionally Graded Piezoelectric Beam Based on Two-dimensional Elasticity Theory,” JOURNAL OF MECHANICAL ENGINEERING, vol. 48, no. 3 (84) , pp. 319–328, 2018, [Online]. Available: https://sid.ir/paper/270140/en

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