EFFECTS OF GEOMETRIC NONLINEARITY ON STRESS ANALYSIS IN LARGE AMPLITUDE VIBRATION OF MODERATELY THICK ANNULAR FUNCTIONALLY GRADED PLATE

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AMINI M.H.; RASTGOU A.; SOLEIMANI M.

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Journal Paper

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Journal: JOURNAL OF SOLID MECHANICS Year:2009 | Volume:1 | Issue:4 Page(s): 328-342

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Title

EFFECTS OF GEOMETRIC NONLINEARITY ON STRESS ANALYSIS IN LARGE AMPLITUDE VIBRATION OF MODERATELY THICK ANNULAR FUNCTIONALLY GRADED PLATE

Author(s)

AMINI M.H. | RASTGOU A. | SOLEIMANI M. | Issue Writer Certificate

Keywords

FUNCTIONALLY GRADED MATERIAL

LARGE AMPLITUDE VIBRATION

STRESS ANALYSIS

THICK ANNULAR PLATE

Abstract

This paper deals with the nonlinear free vibration of thick annular FUNCTIONALLY GRADED MATERIAL plates. The thickness is assumed to be constant. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on the first-order shear deformation plate theory and von Kármán-type equation. For harmonic vibrations, by using assumed-time-mode method sinusoidal oscillations are assumed, then the time variable is eliminated by applying Kantorovich averaging method. Thus, the basic governing equations for the problem are reduced to a set of ordinary differential equations in term of radius. The results reveal that vibration amplitude and volume fraction have significant effects on the resultant stresses in LARGE AMPLITUDE VIBRATION of the functionally graded thick plate.

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APA: Copy

AMINI, M.H., RASTGOU, A., & SOLEIMANI, M.. (2009). EFFECTS OF GEOMETRIC NONLINEARITY ON STRESS ANALYSIS IN LARGE AMPLITUDE VIBRATION OF MODERATELY THICK ANNULAR FUNCTIONALLY GRADED PLATE. JOURNAL OF SOLID MECHANICS, 1(4), 328-342. SID. https://sid.ir/paper/319184/en

Vancouver: Copy

AMINI M.H., RASTGOU A., SOLEIMANI M.. EFFECTS OF GEOMETRIC NONLINEARITY ON STRESS ANALYSIS IN LARGE AMPLITUDE VIBRATION OF MODERATELY THICK ANNULAR FUNCTIONALLY GRADED PLATE. JOURNAL OF SOLID MECHANICS[Internet]. 2009;1(4):328-342. Available from: https://sid.ir/paper/319184/en

IEEE: Copy

M.H. AMINI, A. RASTGOU, and M. SOLEIMANI, “EFFECTS OF GEOMETRIC NONLINEARITY ON STRESS ANALYSIS IN LARGE AMPLITUDE VIBRATION OF MODERATELY THICK ANNULAR FUNCTIONALLY GRADED PLATE,” JOURNAL OF SOLID MECHANICS, vol. 1, no. 4, pp. 328–342, 2009, [Online]. Available: https://sid.ir/paper/319184/en

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