Kinematics of a Multimass Oscillating System With a Non-Fixed Frequency of Free Oscillations

Abstract

The work relates to the field of mechanical engineering, namely to oscillating mechanical systems. The relevance of the study is determined by the fact that vibrations of inertial masses occur everywhere. Target. Development of a mathematical model of a monoreactive multimass oscillator of non-fixed frequency. In the considered (idealized) case, the polygon, at the vertices of which oscillating weights are located, lies in the plane. In technical applications, weights should not interfere with each other’s movements; therefore, each weight should have its own plane, and all planes should be parallel (like a multipiston mechanism). The condition for the occurrence of free harmonic oscillations is the equality to zero of the total energy of the system, which in the case under consideration is exclusively kinetic, which determines the monoreactive nature of the oscillator. In the considered multidimensional flat monoreactive oscillator, free harmonic linear oscillations of weights can occur.