Modeling of multimass systems torsionally deformed with variable inertia

Abstract

Dynamic investigations of multimass discrete-continuous systems having variable moment of inertia are performed. The systems are torsionally deformed and consist of an arbitrary number of elastic elements connected by rigid bodies. The problem is nonlinear and it is linearized after appropriate transformations. It is shown that such problems can be investigated using the wave approach. Some analytical considerations and numerical calculations are done for a two-mass system with a special case of boundary conditions.

Mathematical Modeling of Mechanical Forces and Power Balance in Electromechanical Energy Converter

“…This will be obtained, provided that the relationship between currents ik and flux linkages ψ k is defined as [22]:…”

“…It is interesting to give another derivation of the force expression (22). According to (2), we obtain the following expression for the electric power supplied to the terminals:…”

Mathematical Modelling of Drive System with an Elastic Coupling Based on Formal Analogy between the Transmission Shaft and the Electric Transmission Line

“…The model of the long elastic element, based on the ordinary differential equations, corresponds with a multi-mass lumped parameter model, e.g., in [2,12,13], especially the two-mass model, e.g., in [6,8,14], which does not guarantee the accurate results of numerical analysis. The equations included in the multi-mass model are usually solved using numerical integration.Research on stresses and oscillations of long drive shafts using various methods of analysis is undertaken in the literature [15][16][17][18]. In [18], the author presents a mechanical analysis of the propeller shaft on a warship in the event of a variable moment of shaft load.…”

“…Research on stresses and oscillations of long drive shafts using various methods of analysis is undertaken in the literature [15][16][17][18]. In [18], the author presents a mechanical analysis of the propeller shaft on a warship in the event of a variable moment of shaft load.…”