| 三圆盘非线性扭振系统的内共振 |
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| 引用本文： | 李曼,杨志安.三圆盘非线性扭振系统的内共振[J].机械强度,2000,22(1):26-28. |
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| 作者姓名： | 李曼 杨志安 |
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| 作者单位： | 唐山高等专科学校,唐山,063000 |
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| 摘 要： | 建立了具有平方非线性三圆盘扭振系统的数学模型，应用非线性振动平均法，求得了系统满足双重共振条件的一次近似及对应的稳态解。求得了用椭圆函数表示的系统内共振条件下无阻尼自由振动的解析解，指出系统有能量交换现象，存在周期运动、概周期运动以及调幅调相运动。
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| 关 键 词： | 平均法 内共振 能量转换 周期解 三圆盘扭振系统 |
| 修稿时间： | 1999-03-03 |
INTERNAL RESONANCE OF A THREE CIRCULAR PLATES NONLINEAR TORSIONAL VIBRATION SYSTEM |
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| LI Man,YANG Zhian.INTERNAL RESONANCE OF A THREE CIRCULAR PLATES NONLINEAR TORSIONAL VIBRATION SYSTEM[J].Journal of Mechanical Strength,2000,22(1):26-28. |
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| Authors: | LI Man YANG Zhian |
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| Affiliation: | LI Man
,YANG Zhian
;(Tangshan Polytechnic College, Tangshan 063000, China) |
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| Abstract: | A mathematical model of a three circular plates torsional vibration nonlinear system which has quadratic nonlinearities is established. By using of averaging method for nonlinear oscillation, the first approximation solution and its corresponding steady state solution of the double resonances of the system are obtained. Applying the elliptic functions, in the absence of damping the exact solutlon of the internal resonance is acquired. It is pointed out that the system has abundant dynamically phenomena including periodic motion, quasiperodic motion, and the amplitude and the phase are modulated motion. The energy of the system is exchanged between two modes. |
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| Keywords: | the averaging method internal resonance energy exchanging periodic motion modulated motion |
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