Abstract

Mixed parametric oscillations and self-excited oscillations in a system with a nonideal power source with delays in the elastic and frictional forces are considered. The direct linearization method is used for solving nonlinear equations. The stability conditions of stationary oscillations are determined. Calculations were carried out, and it appears that the delay leads to some interesting results. Due to the delay, the curves can behave as if there were a nonlinear elastic force and the upper (stationary without any delay) and lower branches of the amplitude curves may be unstable for a certain delay.

中文翻译：

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具有弹性和摩擦力延迟的自参振荡

摘要

考虑具有非理想动力源且弹性力和摩擦力有延迟的系统中的混合参数振动和自激振动。直接线性化方法用于求解非线性方程。确定平稳振荡的稳定性条件。进行了计算，似乎延迟导致了一些有趣的结果。由于存在延迟，曲线的表现就好像存在非线性弹力一样，振幅曲线的上部（平稳，没有任何延迟）和下部分支在一定延迟下可能不稳定。