The synchronous movement of mechanisms taking into account forces of the different nature

Abstract

In the work the method of transition to dimensionless parameters is presented on the example of movement by two synchronously working piston hydraulic engines of a heavy object with use of the theory of similarity and analogousness. Advantage of such approach is shown in limit simplification of dimensionless model, its universality and efficiency of search of an optimal solution in the choice of parameters of the real device. Methods of dimension and the theory of similarity are successfully applied in a research of dynamic systems of various classes. The problems arising at the same time are connected generally with the choice of a rational combination of the main units of measure of physical quantities, with transition to dimensionless models and with formation basic criterion of similarity. The specified problems are solved by the researcher, as a rule, on the basis of own intuition and experience. The systematized approaches to the solution of similar problems based on a method of the theory of analogousness are meanwhile known.