| 具有n次方非线性恢复力的系统强迫振动中的次谐波响应 |
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| 引用本文： | 宋福磐.具有n次方非线性恢复力的系统强迫振动中的次谐波响应[J].湖南农业大学学报(自然科学版),1989,16(2). |
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| 作者姓名： | 宋福磐 |
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| 作者单位： | 湖南大学工程力学系 |
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| 摘 要： | 具有n次方非线性恢复力的系统,在强迫振动中可能出现频率为激振频率ω的1/n的次谐波响应.但实际为人们所发现的只是一些特殊系统,例如n=3(杜芬方程)的情形,而缺乏一般性的理论证明.本文利用基本摄动法,从理论上就n为任意奇数值(对于恢复力而言,n只可能为奇数)的情形,讨论了次谐波响应的可能性,对上述结论给出一般性的理论证明,并提出求次谐波共振解的一般较简便的方法.
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| 关 键 词： | 非线性恢复力 次谐波 基本摄动法 |
Subharmonics in the Forced Vibration of a System with a Nonlinear Restoring Force Proportional to nth Power of Its Displacement |
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| Song Fupan.Subharmonics in the Forced Vibration of a System with a Nonlinear Restoring Force Proportional to nth Power of Its Displacement[J].Journal of Hunan Agricultural University,1989,16(2). |
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| Authors: | Song Fupan |
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| Institution: | Song Fupan Department of Engineering Mechanics |
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| Abstract: | The subharmonics of order n may appear in a vibrating system with a nonlinear restoring force proportional to nth power of its displacement. But this phenomenon is found only in some special systems, for instance, in the Duffing equation, and the general |
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| Keywords: | nonlinear restoring force subharmonics fundamental perturbation method |
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