DOI: 10.14489/hb.2019.04.pp.028-033

Петров П. В., Чернов Д. Д.
НЕОБХОДИМОСТЬ ИССЛЕДОВАНИЯ НЕЛИНЕЙНЫХ ГИДРОМЕХАНИЧЕСКИХ СИСТЕМ В ОБОБЩЕННЫХ ПАРАМЕТРАХ
(c. 28-33)

Аннотация. Рассматриваются вопросы алгоритмического моделирования и исследования нелинейных гидромеханических систем автоматического регулирования. Приводится математическая модель одного из рассматриваемых объектов исследования (регулятор непрямого действия). Описывается анализ линейного и нелинейного метода решения задачи в обобщенных параметрах.

Ключевые слова: алгоритмическое моделирование; нелинейные системы; система автоматического регулирования; гидромеханические системы.

Petrov P. V., Chernov D. D.
NECESSITY OF RESEARCH OF NONLINEAR HYDRO-MECHANICAL SYSTEMS IN GENERALIZED PARAMETERS
(pp. 28-33)

Abstract. Questions of algorithmic modeling and research of nonlinear hydromechanical systems of automatic regulation are considered. A mathematical model of one of the studied objects of investigation (the regulator of indirect action) is given. An analysis is given of a linear and nonlinear method for solving a problem in generalized parameters. The article is clearly demonstrated as a method of transition to generalized variables, using computer simulation, you can get results in no way inferior to linear methods. It is shown that with this approach, the solution significantly reduces the number of arguments of the problem, making the solution easier, and the visibility of the results has improved. The informativeness of the results has increased, since the influence of individual factors is not manifested separately, but in the aggregate, and therefore more clearly internal links. The dimensionless variables vary in the range from zero to one, which greatly simplifies the calculation. New computer technologies allow to automate the process of numerical research of models implemented by the method of machine imitation, and it becomes possible to obtain more complex and cumbersome computer-based systems. This leads to a gradual abandonment of traditional approximate analytical and graphanalytical methods of research and to an increase in the importance of machine imitation. In addition, the article is clearly demonstrated as a method of transition to generalized variables, using computer simulation, you can get results in no way inferior to linear methods. With this approach, the solution significantly reduces the number of arguments of the problem, making the solution easier, and the visibility of the results has improved. The informativeness of the results has increased, since the influence of individual factors is not manifested separately, but in the aggregate, and therefore more clearly internal links. The dimensionless variables vary in the range from zero to one, which greatly simplifies the calculation.

Keywords: Algorithmic modeling; Nonlinear systems; Automatic control system; Hydromechanical systems.