Nonlinear Vibration and Thermal-Buckling of a Heated Annular Plate with a Rigid Mass

Li Shi-rong

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Li Shi-rong. Nonlinear Vibration and Thermal-Buckling of a Heated Annular Plate with a Rigid Mass[J]. Applied Mathematics and Mechanics, 1992, 13(8): 745-751.

Citation:

Li Shi-rong. Nonlinear Vibration and Thermal-Buckling of a Heated Annular Plate with a Rigid Mass[J]. Applied Mathematics and Mechanics, 1992, 13(8): 745-751.

Citation:

Li Shi-rong. Nonlinear Vibration and Thermal-Buckling of a Heated Annular Plate with a Rigid Mass[J]. Applied Mathematics and Mechanics, 1992, 13(8): 745-751.

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Nonlinear Vibration and Thermal-Buckling of a Heated Annular Plate with a Rigid Mass

Li Shi-rong

Gansu Universiiy of Technology, Lanzhou

Received Date: 1991-08-02
Publish Date: 1992-08-15

Abstract

Abstract

On the basis of Hamilton's principle and dynamic version of von Kármán's equations, the nonlinear vibration and thermal-buckling of a uniformly heated isotropic annular plate with a completely clamped outer edge and a fixed rigid mass along the inner edge are studied. By parametric perturbation and numerical differentiation, the nonlinear response of the plate-mass system and the critical temperature in the mid-plane at which the plate is in buckled state are obtained. Some meaningful characteristic curves and data tables are given.
- plate-rigid mass system,
- nonlinear vibration,
- thermal-buckling,
- natural frequency,
- critical temperature

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References(7)

References

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