THE PERTURBATION SOLUTION OF THE LARGE ELASTIC CURVE OF BUCKLED BARS AND THE SINGULAR PERTURBATION METHOD FOR ITS IMPERFECT BIFURCATION PROBLEM

Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (4): 345-354.

THE PERTURBATION SOLUTION OF THE LARGE ELASTIC CURVE OF BUCKLED BARS AND THE SINGULAR PERTURBATION METHOD FOR ITS IMPERFECT BIFURCATION PROBLEM

周哲玮

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

收稿日期:1985-10-18 出版日期:1987-04-18 发布日期:1987-04-18

THE PERTURBATION SOLUTION OF THE LARGE ELASTIC CURVE OF BUCKLED BARS AND THE SINGULAR PERTURBATION METHOD FOR ITS IMPERFECT BIFURCATION PROBLEM

Zhou Zhe-wei

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received:1985-10-18 Online:1987-04-18 Published:1987-04-18

摘要/Abstract

摘要： This paper presents the large deflection elastic curve of buckled bars through perturbation method, and the bifurcation diagrams including the influence of the imperfection at the base by using singular perturbation method of imperfect bifurcation theory. The physical meaning of the bifurcation diagrams is discussed.

关键词: non-holonomic system, Lindelf’s equation, Chaplygin’s equation, the Vakonomic model, Chetaev’s model

Abstract: This paper presents the large deflection elastic curve of buckled bars through perturbation method, and the bifurcation diagrams including the influence of the imperfection at the base by using singular perturbation method of imperfect bifurcation theory. The physical meaning of the bifurcation diagrams is discussed.

Key words: non-holonomic system, Lindelf’s equation, Chaplygin’s equation, the Vakonomic model, Chetaev’s model

周哲玮. THE PERTURBATION SOLUTION OF THE LARGE ELASTIC CURVE OF BUCKLED BARS AND THE SINGULAR PERTURBATION METHOD FOR ITS IMPERFECT BIFURCATION PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(4): 345-354.

Zhou Zhe-wei. THE PERTURBATION SOLUTION OF THE LARGE ELASTIC CURVE OF BUCKLED BARS AND THE SINGULAR PERTURBATION METHOD FOR ITS IMPERFECT BIFURCATION PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(4): 345-354.

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[5]	梁立孚;石志飞. ON SOME IMPORTANT PROBLEMS IN ANALYTICAL DYNAMICS OF NON-HOLONOMIC SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(12): 1113-1123.

THE PERTURBATION SOLUTION OF THE LARGE ELASTIC CURVE OF BUCKLED BARS AND THE SINGULAR PERTURBATION METHOD FOR ITS IMPERFECT BIFURCATION PROBLEM

THE PERTURBATION SOLUTION OF THE LARGE ELASTIC CURVE OF BUCKLED BARS AND THE SINGULAR PERTURBATION METHOD FOR ITS IMPERFECT BIFURCATION PROBLEM

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