Optimization of Oscillations of Mechanical Systems with FrictionстатьяИсследовательская статья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 15 февраля 2024 г.
Аннотация:A generalized method for finding an optimal control of the amplitude of one-dimensional oscillationsin the vicinity of the equilibrium position for a scleronomous multidimensional mechanical system with friction is proposed. The oscillatory degree of freedom of the system does not lend itself to direct control. Its motion is influenced by other, directly controlled degrees of freedom. They are chosen as control functions. The directly controlled coordinates can include both positional and cyclic ones. The method does not useadjoint variables in the sense of Pontryagin’s maximum principle and does not increase the dimension of the original system of differential equations of motion. The effectiveness of the method is demonstrated as applied to a specific oscillatory mechanical model with dry and viscous friction.