| 非线性系统超谐共振周期响应的数值模拟问题 |
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| 引用本文： | 高奇华. 非线性系统超谐共振周期响应的数值模拟问题[J]. 哈尔滨工程大学学报, 1991, 0(3) |
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| 作者姓名： | 高奇华 |
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| 作者单位： | 哈尔滨船舶工程学院数学力学部 |
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| 摘 要： | 以相平面、时域响应辅以FFT等方法研究了同时具有二次和三次非线弹性的振动系统的超谐共振数值模拟问题.在一般初值条件下,无阻尼系统的共振响应含一长拍,弱阻尼系统的共振响应有一长过渡过程.本文提供了时域响应立即进入周期态的方法,从而大大提高了工程应用中FFT的精度和可实现性.
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| 关 键 词： | 非线性 周期响应 超谐共振 数值模拟 拍 |
On the Numerical Simulation of Periodic Superharmonic-Resonant Responses of Nonlinear Vibrating Systems |
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| Gao Qihua. On the Numerical Simulation of Periodic Superharmonic-Resonant Responses of Nonlinear Vibrating Systems[J]. Journal of Harbin Engineering University, 1991, 0(3) |
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| Authors: | Gao Qihua |
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| Affiliation: | Dept. of Maths and Mech. |
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| Abstract: | The superharmonic resonant responses of the vibrating Systems with nonlinear elasticity of the 2nd and 3rd powers are numerically studied on the phase plane and in the original coordinates in time domain, supplemented with FFT.The resonant responses for general initial conditions are found being accompanied by long beats in the undamped systems and by long transient in the weakly-damped systems.A method is examined for immediately entering essentially-periodic responses.The feasibility and accuracy of FFTare greatly achieved in engineering. |
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| Keywords: | nonlinearity periodic response superharmonic resonance numerical simulation beat |
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