Abstract
Abstract
The paper considers a generalized mathematical model of a class of mechanical systems, which represent systems of rigid bodies elastically mounted on an Euler-Bernoulli beam. This model has the form of a hybrid system of differential equations having a definite structure and describing the process of transfer (transition) of the system within the frames of some coordinated system chosen. On the basis of the generalized mathematical model, a generalized approach to finding the equilibrium position for mechanical systems, which belong to a given class of systems, in a chosen coordinate system has been proposed. The equilibrium position of a mechanical system is understood as the solution of a definite hybrid system of differential equations, furthermore, this solution does not change with time. The equilibrium position of a mechanical system within a given coordinate system allows one to proceed - by replacement of the variables - to consideration of the generalized mathematical model studied earlier and describing transfer of a system with respect to the equilibrium.
Subject
General Physics and Astronomy