Modeling the elastic element of a three-mass oscillating system with the effect of «zero stiffness

Abstract

One of the promising areas of development vibrating technological equipment is the creation interresonant vibrating machines. Interresonant modes of operation provide a significant reduction in power consumption in the drives.

The aim of the work is to develop a technique for modeling elastic elements for a three-mass interresonant vibration system with the effect of "zero stiffness".

Under the condition of random selection of masses at a certain resonant adjustment, the dimensionless coefficient, as a fraction of the stiffness of the elastic system of reactive mass, acquires such values at which the stiffness of the elastic system agrees with the inertial parameters of the system in that the three-mass interresonant oscillatory system was in resonance. The effect of "zero stiffness" is possible in the absence of an elastic element for the reactive mass, or at zero value of the dimensionless coefficient, as a fraction of the stiffness of the elastic system of the reactive mass.

The results of determining the main characteristics of the elastic element of a three-mass interresonant oscillatory system analytically and numerically by finite elements of the CosmosWorks type (Simulation) in the SolidWork design environment are presented.

The results of modeling in SolidWork environment and analytical calculation of the main parameters of the elastic system showed the identity of the obtained values, which confirms the correctness of the proposed method of calculating the elastic elements of three-mass oscillating systems with the effect of "zero stiffness".