| 非线性振动系统模态研究（Ⅰ） |
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| 引用本文： | 戴德成.非线性振动系统模态研究（Ⅰ）[J].东南大学学报(自然科学版),1995,25(Z1):54-61. |
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| 作者姓名： | 戴德成 |
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| 作者单位： | 东南大学数学力学系 |
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| 摘 要： | 非线性振动理论中的模态问题一直受到国内外学者的重视，并已取得了一定的研究成果。作为进一步研究的先决条件，本文研究非线性系统非限定线性模态问题，提出了线性模态不存在的充条件，并指出了非自满，非线性系统中线性模态存在的充要条件不成立的情形。
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| 关 键 词： | 非线性振动 非线性模态 模态方法 |
Research on Modes of Nonlinear Vibration Systems |
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| Dai Decheng.Research on Modes of Nonlinear Vibration Systems[J].Journal of Southeast University(Natural Science Edition),1995,25(Z1):54-61. |
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| Authors: | Dai Decheng |
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| Abstract: | The topic of modes of nonliner vibration systems is interested by researchers at home and abroad.Some results about that topic were presented1-5].For the precondition of further research,lin-ear modes of nonlinear systems are studied in this paper.The sufficient conditions of nonexistence oflinear modes of nonlinear systems are presented, Cases in which the sufficient and necessary conditionsfor the existence of linear modes of nonlinear systems5]are inexact are pointed finally. |
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| Keywords: | nonlinear vibration nonlinear mode medal method |
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