| 结构密集模态二分之一阶亚谐共振与线性模型失效问题研究 |
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| 引用本文： | 白鸿柏,张培林,陈振藩. 结构密集模态二分之一阶亚谐共振与线性模型失效问题研究[J]. 振动与冲击, 2000, 19(2): 34-36,19 |
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| 作者姓名： | 白鸿柏 张培林 陈振藩 |
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| 作者单位： | 1. 军械工程学院兵器工程系,石家庄,050003
2. 南京航空航天大学,南京,210016 |
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| 基金项目： | 国家自然科学基金! ( 1 93 72 0 2 4 )，航空基金! ( 94B52 0 1 0 ) |
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| 摘 要： | 通过对一个两自由度密频近线性系统１／２阶亚谐共振响应分析，研究了密集模态间弱非线性耦合作用在副共振中的表现形式，如典型的Ｈｏｐｆ分叉导致的概周期响应等，着重考察了线性模型失效途径。
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| 关 键 词： | 非线性振动 1／2阶亚谐共振 线性模型失效 |
STUDY ON THE RELATIONSHIP BETWEEN 1/2 SUBHAMONIC RESONANCE IN STRUCTURES WITH CLOSELY SPACED NATURAL FREQUENCIES AND FAILURE OF LINEAR MODEL |
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| Bai Hongbai,Zhang Peilin,Chen Zhenfan. STUDY ON THE RELATIONSHIP BETWEEN 1/2 SUBHAMONIC RESONANCE IN STRUCTURES WITH CLOSELY SPACED NATURAL FREQUENCIES AND FAILURE OF LINEAR MODEL[J]. Journal of Vibration and Shock, 2000, 19(2): 34-36,19 |
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| Authors: | Bai Hongbai Zhang Peilin Chen Zhenfan |
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| Abstract: | In the paper,by analyzing 1/2 subharmonic resonance of a two_degree_of_freedom nearly linear system with closely spaced natural frequencies,the point at that typical nonlinear kinetic phenomena such as almost periodic response due to Hopf bifurcation would happen when IRCF(internal resonance due to closely spaced natural frequencies)exists is put forward.In that case,instead of the linear model a nonlinear one should be adopted.The relationship between the failure of linear model and the excitation level and initial conditions is also discussed. |
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| Keywords: | nonlinear vibration IRCF (internal resonance due to closely spaced natural frequencies) 1/2 subharmonic resonance modes with closely spaced natural frequencies failure of linear model |
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