Stability and Free Vibration Analysis of Plates with Random Material Property using Stochastic Finite Element Method

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KARKON M.; GHOUHESTANI S.; SHAHABIAN F.

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Journal Paper

Paper Information

Journal: Journal of Applied and Computational Sciences in Mechanics Year:2019 | Volume:30 | Issue:2 (20) Page(s): 151-160

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Title

Stability and Free Vibration Analysis of Plates with Random Material Property using Stochastic Finite Element Method

Author(s)

KARKON M. | GHOUHESTANI S. | SHAHABIAN F. | Issue Writer Certificate

Keywords

Stochastic Finite ElementQ1

Plate BendingQ1

BucklingQ2

Free VibrationQ2

Monte-Carlo SimulationQ1

Abstract

This study aims to investigate the influence of the plate uncertainty elastic modulus on Free Vibration response and Buckling behavior. To this purpose, elastic modulus of plate is modeled as a random variable with a normal distribution. Spatial autocorrelation function is used for random fields. In this method, the correlation is dependent on the distance, as the points be far away from each other, the correlation is also reduced. Then, applying the powerful finite element method Stochastic Finite Element relations were calculated using Monte Carlo simulation. To this purpose, a four-node Kirchhoff’ s element was used with twelve degrees of freedom. For the analysis, random variable is simulated 5, 000 times. At last, by numerical tests, the effects of uncertainty on elastic modulus are investigated on the natural frequencies and Buckling loads of plate. The results of these tests show that the effect of uncertainty in elastic modulus of the plate has a different effect on the response of vibration and Buckling of plate. So that these changes have low effect on Free Vibration responses of plate. But Buckling loads are highly dependent on the elasticity coefficient.

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APA: Copy

KARKON, M., GHOUHESTANI, S., & SHAHABIAN, F.. (2019). Stability and Free Vibration Analysis of Plates with Random Material Property using Stochastic Finite Element Method. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), 30(2 (20) ), 151-160. SID. https://sid.ir/paper/196231/en

Vancouver: Copy

KARKON M., GHOUHESTANI S., SHAHABIAN F.. Stability and Free Vibration Analysis of Plates with Random Material Property using Stochastic Finite Element Method. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING)[Internet]. 2019;30(2 (20) ):151-160. Available from: https://sid.ir/paper/196231/en

IEEE: Copy

M. KARKON, S. GHOUHESTANI, and F. SHAHABIAN, “Stability and Free Vibration Analysis of Plates with Random Material Property using Stochastic Finite Element Method,” JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), vol. 30, no. 2 (20) , pp. 151–160, 2019, [Online]. Available: https://sid.ir/paper/196231/en

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