Calculation of Parameters of Mechanical Systems With Harmonic Vibration

Abstract

Parallel and series connections of mechanical power consumers are considered. According to the known parameters of systems and the disturbing harmonic effect, the velocities of the elements of mechanical systems and the forces applied to them are algebraically determined. Attention is paid to resonant modes, incl. resonance of forces and resonance of speeds. The use of a symbolic (complex) description of mechanical systems with forced harmonic vibrations (in a steady state) made it possible to abandon the extremely cumbersome and laborious calculation algorithm associated with solving differential equations and replace it with simple and visual algebraic operations. Due to this, the calculation time is reduced significantly. Vector diagrams, not being a necessary component of the study of mechanical systems, are of significant methodological importance, since they show quantitative and phase relationships between the parameters of systems.