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摘要:
In a recent publication [1], the fully nonlinear stability analysis of a Single-Degree-of Freedom (SDOF) model with distinct critical points was dealt with on the basis of bifurcation theory, and it was demonstrated that this system is associated with the butterfly singularity. The present work is the companion one, tackling the problem via the Theory of Catastrophes. After Taylor expanding the original potential energy function and introducing Padè approximants of the trigonometric expression involved, the resulting truncated potential is a universal unfolding of the original one and an extended canonical form of the butterfly catastrophe potential energy function. Results in terms of equilibrium paths, bifurcation sets and manifold hyper-surface projections fully validate the whole analysis, being in excellent agreement with the findings obtained via bifurcation theory.
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篇名 Stability Analysis of a SDOF Mechanical Model with Distinct Critical Points: II. Catastrophe Theory Approach
来源期刊 力学国际期刊(英文) 学科 数学
关键词 Mechanical Models Nonlinear Stability Critical POINTS CATASTROPHE Theory BUTTERFLY SINGULARITY
年,卷(期) 2015,(12) 所属期刊栏目
研究方向 页码范围 266-273
页数 8页 分类号 O1
字数 语种
DOI
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研究主题发展历程
节点文献
Mechanical
Models
Nonlinear
Stability
Critical
POINTS
CATASTROPHE
Theory
BUTTERFLY
SINGULARITY
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研究来源
研究分支
研究去脉
引文网络交叉学科
相关学者/机构
期刊影响力
力学国际期刊(英文)
月刊
2160-049X
武汉市江夏区汤逊湖北路38号光谷总部空间
出版文献量(篇)
280
总下载数(次)
0
总被引数(次)
0
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