SYMBOLIC METHOD FOR CALCULATING PARALLEL MECHANICAL OSCILLATING SYSTEMS IN A STABLE MODE
The classical solution of problems associated with calculating the velocities and reactions of elements of complex mechanical systems under harmonious force action consists in compiling and integrating systems of differential equations and is rather cumbersome and time-consuming. In most cases, interest is limited by the steady state. The purpose of the study is to develop essentially compact methods for calculating systems for established regimes. When solving, the methods used to calculate electrical circuits were used. The use of a complex representation made it possible to obtain significantly more compact algebraic methods for calculating complex mechanical systems in steady-state modes compared to classical methods. In this case, the volume of calculations is reduced several times. The key role in the proposed method is played by mechanical reactance, resistance, and impedance for parallel connection of mechanical consumers .