A SEMI-ANALYTICAL SOLUTION FOR FREE VIBRATION AND MODAL STRESS ANALYSES OF CIRCULAR PLATES RESTING ON TWO-PARAMETER ELASTIC FOUNDATIONS

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ALIPOUR M.M.; SHARIAT M.; SHABAN M.

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Journal Paper

Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2010 | Volume:2 | Issue:1 Page(s): 63-78

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Title

A SEMI-ANALYTICAL SOLUTION FOR FREE VIBRATION AND MODAL STRESS ANALYSES OF CIRCULAR PLATES RESTING ON TWO-PARAMETER ELASTIC FOUNDATIONS

Author(s)

ALIPOUR M.M. | SHARIAT M. | SHABAN M. | Issue Writer Certificate

Keywords

FREE VIBRATION

THIN CIRCULAR PLATES

DTM

TWO-PARAMETER ELASTIC FOUNDATION

MODAL STRESS

Abstract

In the present research, FREE VIBRATION and MODAL STRESS analyses of THIN CIRCULAR PLATES with arbitrary edge conditions, resting on TWO-PARAMETER ELASTIC FOUNDATIONs are investigated. Both Pasternak and Winkler parameters are adopted to model the elastic foundation. The differential transform method (DTM) is used to solve the eigenvalue equation yielding the natural frequencies and mode shapes of the circular plates. Accuracy of obtained results is evaluated by comparing the results with those available in the well-known references. Furthermore, effects of the foundation stiffness parameters and the edge conditions on the natural frequencies, mode shapes, and distribution of the maximum in-plane MODAL STRESSes are investigated.

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APA: Copy

ALIPOUR, M.M., SHARIAT, M., & SHABAN, M.. (2010). A SEMI-ANALYTICAL SOLUTION FOR FREE VIBRATION AND MODAL STRESS ANALYSES OF CIRCULAR PLATES RESTING ON TWO-PARAMETER ELASTIC FOUNDATIONS. JOURNAL OF SOLID MECHANICS, 2(1), 63-78. SID. https://sid.ir/paper/319172/en

Vancouver: Copy

ALIPOUR M.M., SHARIAT M., SHABAN M.. A SEMI-ANALYTICAL SOLUTION FOR FREE VIBRATION AND MODAL STRESS ANALYSES OF CIRCULAR PLATES RESTING ON TWO-PARAMETER ELASTIC FOUNDATIONS. JOURNAL OF SOLID MECHANICS[Internet]. 2010;2(1):63-78. Available from: https://sid.ir/paper/319172/en

IEEE: Copy

M.M. ALIPOUR, M. SHARIAT, and M. SHABAN, “A SEMI-ANALYTICAL SOLUTION FOR FREE VIBRATION AND MODAL STRESS ANALYSES OF CIRCULAR PLATES RESTING ON TWO-PARAMETER ELASTIC FOUNDATIONS,” JOURNAL OF SOLID MECHANICS, vol. 2, no. 1, pp. 63–78, 2010, [Online]. Available: https://sid.ir/paper/319172/en

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