Machinery & Energetics

The analysis of methods for studying transient processes in systems whose elements can be represented as concentrated masses connected by bodies with nonlinear characteristics is analyzed. It is established that, in the most general case, the equations of motion of a dynamical system can be reduced to a differential equation, the definition of which, as a scalar function with the properties of Lyapunov functions, allows us to fully introduce estimates of the transient processes themselves. On the basis of the two-sided inequality obtained in this paper, it is possible to estimate the decay time of a transient process and to search for conditions of unboundedness.

dynamical system, nonlinear elements, transient