A unified perturbation approach to static/dynamic coupled instabilities of nonlinear structures
A unified perturbation approach to static/dynamic coupled instabilities of nonlinear structures
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DOI：
10.1016/j.tws.2010.01.002
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发表时间：
2010-10-01
影响因子：
6.4
通讯作者：
Luongo, A.
中科院分区：
文献类型：
--
作者：
Luongo, A.
基于多尺度方法的统一摄动方法，能够分析非线性结构的静态和/或动态分岔之间的相互作用。该方法似乎是对弹性结构屈曲中众所周知的静态摄动法的动态情况的自然推广。为了说明该算法，考虑一个一般的多参数有限维自治系统，同时经历一个静态（发散）和两个动态（Hopf）分岔，非谐振型或谐振型。该方法给出了控制临界相互作用模幅和相的时间演化的分岔方程。讨论了与样品结构有关的结果。(C) 2010 Elsevier Ltd.版权所有。
A unified perturbation approach, based on the multiple scale method, able to analyse interactions among static and/or dynamic bifurcations of nonlinear structures, is illustrated. The method appears as the natural extension to the dynamical case of the static perturbation method, well-known in buckling of elastic structures. To illustrate the algorithm, a general, multiparameter, finite-dimensional autonomous system is considered, simultaneously undergoing a static (divergence) and two dynamic (Hopf) bifurcations, of nonresonant or resonant type. The method furnishes bifurcation equations governing the time-evolution of amplitudes and phases of the critical interacting modes. Results relevant to sample structures are discussed. (C) 2010 Elsevier Ltd. All rights reserved.