EXTENSION OF POINCARÉ’S NONLINEAR OSCILLATION THEORY TO CONTINUUM MECHANICS (Ⅱ)-APPLICATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (4): 309-323.

EXTENSION OF POINCARÉ’S NONLINEAR OSCILLATION THEORY TO CONTINUUM MECHANICS (Ⅱ)-APPLICATIONS

李骊, 霍麟春

Tianjin University, Tianjin

收稿日期:1986-02-21 出版日期:1987-04-18 发布日期:1987-04-18

EXTENSION OF POINCARÉ’S NONLINEAR OSCILLATION THEORY TO CONTINUUM MECHANICS (Ⅱ)-APPLICATIONS

Li Li, Huo Lin-chun

Tianjin University, Tianjin

Received:1986-02-21 Online:1987-04-18 Published:1987-04-18

摘要/Abstract

摘要： 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.

关键词: acoustic scattering, inverse problem, far-field pattern

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.

Key words: acoustic scattering, inverse problem, far-field pattern

李骊;霍麟春. EXTENSION OF POINCARÉ’S NONLINEAR OSCILLATION THEORY TO CONTINUUM MECHANICS (Ⅱ)-APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(4): 309-323.

Li Li;Huo Lin-chun. EXTENSION OF POINCARÉ’S NONLINEAR OSCILLATION THEORY TO CONTINUUM MECHANICS (Ⅱ)-APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(4): 309-323.

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EXTENSION OF POINCARÉ’S NONLINEAR OSCILLATION THEORY TO CONTINUUM MECHANICS (Ⅱ)-APPLICATIONS

EXTENSION OF POINCARÉ’S NONLINEAR OSCILLATION THEORY TO CONTINUUM MECHANICS (Ⅱ)-APPLICATIONS

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