Extension of Poincare’s Nonlinear Oscillation Theory to Continuum Mechanics(Ⅱ)——Applications

Li Li; Huo Lin-chun

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Li Li, Huo Lin-chun. Extension of Poincare’s Nonlinear Oscillation Theory to Continuum Mechanics(Ⅱ)——Applications[J]. Applied Mathematics and Mechanics, 1987, 8(4): 303-316.

Citation:

Li Li, Huo Lin-chun. Extension of Poincare’s Nonlinear Oscillation Theory to Continuum Mechanics(Ⅱ)——Applications[J]. Applied Mathematics and Mechanics, 1987, 8(4): 303-316.

Citation:

Li Li, Huo Lin-chun. Extension of Poincare’s Nonlinear Oscillation Theory to Continuum Mechanics(Ⅱ)——Applications[J]. Applied Mathematics and Mechanics, 1987, 8(4): 303-316.

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Extension of Poincare’s Nonlinear Oscillation Theory to Continuum Mechanics(Ⅱ)——Applications

Li Li,
Huo Lin-chun

Tianjin University, Tianjin

Received Date: 1986-02-21
Publish Date: 1987-04-15

Abstract

Abstract

This is a continuation of [1]. In [1] we suggested a method of direct perturbation of partial differential equation and weighted integration to calculate the periodic solution for continuum mechanics. In this paper, by using the above method we calculate the resonant and nonresonant periodic solutions of beam with fixed span and different boundary conditions and the resonant periodic solution of square plate under the action of concentrated periodic load. Besides, the influences of non-principal mode upon periodic solution and of static load upon amplitude-frequency curve are given.

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References(5)

References

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