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On an approximate analysis method of vibration disapPearance of the parametric 3/2-harmonic oscillation due to external force.

机译:关于外力作用下参数3/2次谐波振动的振动消失的近似分析方法。

摘要

If an external force having frequency near that of oscillation is applied to sucessively to parametric excitation circuit, the osci1lation of n/2-harmonic components may easily disappear depending upon circumstances. In the previous paper, the phenomenon of vibration disappearance of 3/2-harmonicoscillation was analytically explained by adding a term of the external force to a nonlinearized Mathieu equation and assuming the frequency components of 1/2-, 3/2-harmonic and external force. As the relations with respect to amplitudes derived by the method of harmonic balance become simultaneous equations of high degrees, we used an approximation in order to investigate this phenomenon easily. This paper discusses the results obtained by this approximation in comparison with the numericnl solutions of the above simultaneous equations. It is shown that close agreement between them is obtained.
机译:如果将频率接近振荡频率的外力连续施加到参量激励电路,则取决于情况,n / 2谐波分量的振荡可能会轻易消失。在前一篇论文中,通过在非线性Mathieu方程中添加外力项并假设1 / 2、3 / 2谐波和外部频率分量来解析地解释了3/2谐波振动的振动消失现象。力。由于通过谐波平衡法得出的与振幅的关系变成了高阶联立方程,因此为了易于研究此现象,我们使用了近似法。与上述联立方程的数值解相比,本文讨论了通过这种近似得到的结果。结果表明,它们之间获得了密切的一致。

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