FREE VIBRATION ANALYSIS OF MICROPOLAR THERMOELASTIC CYLINDRICAL CURVED PLATE IN CIRCUMFERENTIAL DIRECTION

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PARTAP G.; KUMAR R.

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Journal Paper

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Journal: JOURNAL OF SOLID MECHANICS Year:2010 | Volume:2 | Issue:3 Page(s): 267-274

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Information Journal Paper

Title

FREE VIBRATION ANALYSIS OF MICROPOLAR THERMOELASTIC CYLINDRICAL CURVED PLATE IN CIRCUMFERENTIAL DIRECTION

Author(s)

PARTAP G. | KUMAR R. | Issue Writer Certificate

Keywords

MICROPOLAR

PHASE VELOCITY

CIRCUMFERENTIAL WAVE NUMBER

THERMOELASTICITY TYPE III

THERMOELASTICITY WITHOUT ENERGY DISSIPATION

Abstract

The free vibration analysis of homogeneous isotropic MICROPOLAR thermoelastic cylindrical curved plate in circumferential direction has been investigated in the context of generalized themoelasticity III, recently developed by Green and Naghdi. The model has been simplified using Helmholtz decomposition technique and the resulting equations have been solved using separation of variable method. Mathematical modeling of the problem to obtain dispersion curves for curved isotropic plate leads to coupled differential equations and solutions are obtained by using Bessel functions. The frequency equations connecting the frequency with CIRCUMFERENTIAL WAVE NUMBER and other physical parameters are derived for stress free cylindrical plate. In order to illustrate theoretical development, numerical solutions are obtained and presented graphically for a magnesium crystal.

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APA: Copy

PARTAP, G., & KUMAR, R.. (2010). FREE VIBRATION ANALYSIS OF MICROPOLAR THERMOELASTIC CYLINDRICAL CURVED PLATE IN CIRCUMFERENTIAL DIRECTION. JOURNAL OF SOLID MECHANICS, 2(3), 267-274. SID. https://sid.ir/paper/319224/en

Vancouver: Copy

PARTAP G., KUMAR R.. FREE VIBRATION ANALYSIS OF MICROPOLAR THERMOELASTIC CYLINDRICAL CURVED PLATE IN CIRCUMFERENTIAL DIRECTION. JOURNAL OF SOLID MECHANICS[Internet]. 2010;2(3):267-274. Available from: https://sid.ir/paper/319224/en

IEEE: Copy

G. PARTAP, and R. KUMAR, “FREE VIBRATION ANALYSIS OF MICROPOLAR THERMOELASTIC CYLINDRICAL CURVED PLATE IN CIRCUMFERENTIAL DIRECTION,” JOURNAL OF SOLID MECHANICS, vol. 2, no. 3, pp. 267–274, 2010, [Online]. Available: https://sid.ir/paper/319224/en

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