FREE VIBRATION ANALYSIS OF CONTINUOUSLY GRADED FIBER REINFORCED TRUNCATED CONICAL SHELL VIA THIRD-ORDER SHEAR DEFORMATION THEORY

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YAS M.H.; NEJATI M.; ASANJARANI A.

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Journal: JOURNAL OF SOLID MECHANICS Year:2016 | Volume:8 | Issue:1 Page(s): 212-231

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Title

FREE VIBRATION ANALYSIS OF CONTINUOUSLY GRADED FIBER REINFORCED TRUNCATED CONICAL SHELL VIA THIRD-ORDER SHEAR DEFORMATION THEORY

Author(s)

YAS M.H. | NEJATI M. | ASANJARANI A. | Issue Writer Certificate

Keywords

CONTINUOUSLY GRADED FIBER REINFORCED

SPECIAL POWER-LAW DISTRIBUTIONS

TRUNCATED CONICAL SHELL

FREE VIBRATION

TSDT

Abstract

This paper deals with FREE VIBRATION analysis of CONTINUOUSLY GRADED FIBER REINFORCED (CGFR) TRUNCATED CONICAL SHELL based on third-order shear deformation theory (TSDT), by developing SPECIAL POWER-LAW DISTRIBUTIONS. The orthotropic (CGFR) TRUNCATED CONICAL SHELL are clamped and simply supported at the both ends. It is assumed to have a smooth variation of fibers volume fraction in the thickness direction. Symmetric and classic volume fraction profiles are examined. The appropriate displacement functions which identically satisfy the axisymmertic conditions are used to simplify the motion equations to a set of coupled ordinary differential equation with variable coefficients, which can be solved by generalized differential quadrature method (GDQM), to obtain the natural frequencies. The fast rate of convergence of the method is observed. To validate the results, comparisons are made with the available solutions for isotropic and CGM isotropic TRUNCATED CONICAL SHELLs. The effect of various geometrical parameters on the vibrational behavior of the CGFR TRUNCATED CONICAL SHELL is investigated. This literature mainly contributes to illustrate the impact of the power-law distributions on the vibrarional behavior of orthotropic continuous grading TRUNCATED CONICAL SHELL. This paper is also supposed to present useful results for continuouly graded fibers volume fraction in the thickness direction of a TRUNCATED CONICAL SHELL and comparison with similar discrete laminated composite one.

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APA: Copy

YAS, M.H., NEJATI, M., & ASANJARANI, A.. (2016). FREE VIBRATION ANALYSIS OF CONTINUOUSLY GRADED FIBER REINFORCED TRUNCATED CONICAL SHELL VIA THIRD-ORDER SHEAR DEFORMATION THEORY. JOURNAL OF SOLID MECHANICS, 8(1), 212-231. SID. https://sid.ir/paper/319396/en

Vancouver: Copy

YAS M.H., NEJATI M., ASANJARANI A.. FREE VIBRATION ANALYSIS OF CONTINUOUSLY GRADED FIBER REINFORCED TRUNCATED CONICAL SHELL VIA THIRD-ORDER SHEAR DEFORMATION THEORY. JOURNAL OF SOLID MECHANICS[Internet]. 2016;8(1):212-231. Available from: https://sid.ir/paper/319396/en

IEEE: Copy

M.H. YAS, M. NEJATI, and A. ASANJARANI, “FREE VIBRATION ANALYSIS OF CONTINUOUSLY GRADED FIBER REINFORCED TRUNCATED CONICAL SHELL VIA THIRD-ORDER SHEAR DEFORMATION THEORY,” JOURNAL OF SOLID MECHANICS, vol. 8, no. 1, pp. 212–231, 2016, [Online]. Available: https://sid.ir/paper/319396/en

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