| 非线性系统模态分叉与模态局部化现象 |
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| 引用本文： | 刘济科,赵令诚,方同.非线性系统模态分叉与模态局部化现象[J].力学学报,1995,27(5):614-618. |
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| 作者姓名： | 刘济科 赵令诚 方同 |
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| 作者单位： | 西北工业大学２６４信箱 |
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| 摘 要： | 运用匹配法和多尺度法对一个两自由度非线性系统进行了研究，详细分析了非线性系统的模态分叉和局部化现象
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| 关 键 词： | 非线性模态 分叉 局部化 非线性振动 |
BIFURCATION AND LOCALIZATION PHENOMENA OF NONLINEA RMODES IN A NONLINEAR SYSTEM |
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| Abstract: | A 2 degree of freedom system with cubic nonlinear stiffnesses is investigatedby use of the matching method and the method of multiple scales. The nonlinear modesare obtained according to their defiultion。The bifurcation and localization phenomena ofnonlinear modes in the system are analysed in detail.It is shown that the basic mechanismfor nonlinear mode localization is not nonlinear asvmmetries ais concluded by C。 Pierre et al.,but the properties of nonlinear system,i.e., the dependence of the frequency of... |
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| Keywords: | nonlinear modes mode bifurcation mode localization matching method method of multiple scales |
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