Abstract

In this paper, we consider a mechanical oscillatory system with homogeneous elements: with n massive loads (multi-inert oscillator). The possibility of the appearance of free harmonic oscillations of loads in such a system is shown. Unlike the classical spring pendulum, the oscillations of which are due to the mutual conversion of the kinetic energy of the load into the potential energy of the spring, in a multi-inert oscillator, the oscillations are due to the mutual conversion of only the kinetic energies of the loads. In this case, the acceleration of some loads occurs due to the braking of others. A feature of a multi-inert oscillator is that the frequency of its free oscillations is not fixed and is determined mainly by the initial conditions. This feature can be very useful for technical applications, for example, for self-neutralization of mechanical reactive (inertial) power in oscillatory systems.

中文翻译：

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多惰性振荡器原理

摘要

在本文中，我们考虑与同质元素的机械振动系统：与ñ巨大的负载（多惰性振荡器）。示出了在这种系统中出现负载的自由谐波振荡的可能性。与经典的弹簧摆不同，其振荡是由于负载的动能相互转换成弹簧的势能，在多惰性振荡器中，振荡仅是由于动能的相互转换引起的负载的能量。在这种情况下，某些负载的加速度由于其他负载的制动而发生。多惰性振荡器的一个特征是其自由振荡的频率不是固定的，并且主要由初始条件决定。此功能对于技术应用非常有用，例如，对于振荡系统中的机械无功（惯性）功率的自中和。