[1]戴德成.二自由度非线性系统参数激励问题中的多重共振[J].东南大学学报(自然科学版),1984,14(1):120-129.[doi:10.3969/j.issn.1001-0505.1984.01.013]
 Dai De-cheng.Multiple Resonances In a Nonlinear Two Degree of Freedom System[J].Journal of Southeast University (Natural Science Edition),1984,14(1):120-129.[doi:10.3969/j.issn.1001-0505.1984.01.013]
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二自由度非线性系统参数激励问题中的多重共振()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
14
期数:
1984年第1期
页码:
120-129
栏目:
本刊信息
出版日期:
1984-03-20

文章信息/Info

Title:
Multiple Resonances In a Nonlinear Two Degree of Freedom System
作者:
戴德成
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Author(s):
Dai De-cheng
关键词:
非线性系统 多重共振 二自由度 系统参数 非线性项 共振状态 共振问题 激励问题 共振区 参数激励
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1984.01.013
摘要:
本文研究二自由度非线性系统的多重共振问题。文中首先指出当前对多重共振课题研究的现状与存在的问题。有别于通常采用的数值计算方法和多重尺度方法,本文采用计算手续较为简便,在研究多频共振时较为有效的多个快转相位方法。研究结果表明在一定参数条件下具有平方阻尼、立方非线性项和耦合参数激励的二自由度非线性系统在ρ=0附近存在稳定的多重共振状态(多重共振是多频共振情形的特例)。
Abstract:
In this article the multiple resonance problem in a nonlinear two degree of freedom system subjectcd to parmetric excitation is investigated. After the discussion about rccent developments and defects in the research in this area. The several rapid phases method is recommanded. This method is easier and more efficient to use than the numerical method and the multi-scale method. The result obtained shows that in the nonlinear twe degree of freedom system subjected to parametric excitation and containing nonlinear damping terms and cubic terms in displacement stable multiple resonances exist near ρ=0 under sew ral parametric conditions.

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更新日期/Last Update: 2013-05-01