A METHOD OF FINDING THE PRINCIPAL MODES OF NONLINEAR VIBRATION SYSTEMS AND THEIR STABILITIES

Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (6): 523-531.

A METHOD OF FINDING THE PRINCIPAL MODES OF NONLINEAR VIBRATION SYSTEMS AND THEIR STABILITIES

刘鍊生¹, 霍拳忠², 黄克累³

1. Beijing Institute of Aeronautics and Astronautics, Beijing;
2. Tianjin University, Tianjin;
3. Beijing Institute of Aeronautics and Astronautics, Beijing

收稿日期:1986-03-24 出版日期:1987-06-18 发布日期:1987-06-18

A METHOD OF FINDING THE PRINCIPAL MODES OF NONLINEAR VIBRATION SYSTEMS AND THEIR STABILITIES

Liu Lian-sheng¹, Huo Quan-zhong², Huang Ke-lei³

1. Beijing Institute of Aeronautics and Astronautics, Beijing;
2. Tianjin University, Tianjin;
3. Beijing Institute of Aeronautics and Astronautics, Beijing

Received:1986-03-24 Online:1987-06-18 Published:1987-06-18

摘要/Abstract

摘要： This paper presents a new method of finding the principal modes of nonlinear vibration systems, by means of which the problem of finding principal modes of nonlinear systems is transferred to the problem of finding real roots of a set of algebraic equations. The method is applicable to various kinds of nonlinear vibration systems with many degrees of freedom, and is simple in calculation. The paper presents another new method of analyzing the stabilities of principal modes of nonlinear systems.

关键词: impulsive control, stabilization, synchronization, Lur’e system

Abstract: This paper presents a new method of finding the principal modes of nonlinear vibration systems, by means of which the problem of finding principal modes of nonlinear systems is transferred to the problem of finding real roots of a set of algebraic equations. The method is applicable to various kinds of nonlinear vibration systems with many degrees of freedom, and is simple in calculation. The paper presents another new method of analyzing the stabilities of principal modes of nonlinear systems.

Key words: impulsive control, stabilization, synchronization, Lur’e system

刘鍊生;霍拳忠;黄克累. A METHOD OF FINDING THE PRINCIPAL MODES OF NONLINEAR VIBRATION SYSTEMS AND THEIR STABILITIES[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(6): 523-531.

Liu Lian-sheng;Huo Quan-zhong;Huang Ke-lei. A METHOD OF FINDING THE PRINCIPAL MODES OF NONLINEAR VIBRATION SYSTEMS AND THEIR STABILITIES[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(6): 523-531.

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A METHOD OF FINDING THE PRINCIPAL MODES OF NONLINEAR VIBRATION SYSTEMS AND THEIR STABILITIES

A METHOD OF FINDING THE PRINCIPAL MODES OF NONLINEAR VIBRATION SYSTEMS AND THEIR STABILITIES

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