NONLINEAR VIBRATION OF ORTHOTROPIC ANNULAR PLATES SUPPORTED BY ELASTIC RING

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NAEI M.H.; SHAKEREI M.

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Journal: Year:2000 | Volume:34 | Issue:1 (67) Page(s): 133-142

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Title

NONLINEAR VIBRATION OF ORTHOTROPIC ANNULAR PLATES SUPPORTED BY ELASTIC RING

Author(s)

NAEI M.H. | SHAKEREI M. | Issue Writer Certificate

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Abstract

The free and forced nonlinear vibration of a fixed orthotropic annular plate with elastic ring is studied. By use of Ritz-Kantorovich averaging method the governing nonlinear partial differential equations for axisymmetric vibration of the annular plates are converted to a set of ordinary differential equations which form a nonlinear eigenvalue problem. Solution of the related initial value problem is obtained by applying parallel shooting method. The results show the effect of stiffness coefficient on the dynamic response of orthotropic plate. The method utilized in this paper can be applied to many differential eigenvalue problems with piecewise continuous functions.

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APA: Copy

NAEI, M.H., & SHAKEREI, M.. (2000). NONLINEAR VIBRATION OF ORTHOTROPIC ANNULAR PLATES SUPPORTED BY ELASTIC RING. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), 34(1 (67)), 133-142. SID. https://sid.ir/paper/14526/en

Vancouver: Copy

NAEI M.H., SHAKEREI M.. NONLINEAR VIBRATION OF ORTHOTROPIC ANNULAR PLATES SUPPORTED BY ELASTIC RING. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN)[Internet]. 2000;34(1 (67)):133-142. Available from: https://sid.ir/paper/14526/en

IEEE: Copy

M.H. NAEI, and M. SHAKEREI, “NONLINEAR VIBRATION OF ORTHOTROPIC ANNULAR PLATES SUPPORTED BY ELASTIC RING,” JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), vol. 34, no. 1 (67), pp. 133–142, 2000, [Online]. Available: https://sid.ir/paper/14526/en

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