Інтерактивність дисипативних сил в функціях розсіювання Релея та узагальнені рівняння Лагранжа і Лагранжа-Максвелла для дисипативних динамічних систем з довільним ступенем вільності

Abstract

In the article, based on the deepening of the fundamental concepts of force and energy, a generalization of the Lagrange and Lagrange-Maxwell equations for dissipative dynamic systems of mechanical and electromagnetic origin is carried out: in the mathematical aspect, their complete form and internal structure are obtained and presented for the first time, and in the physical aspect, the concepts of overinertia, subpotentiality, and interactive energy dissipation are introduced and partially disclosed. The obtained results complement the initial basis of the theory of dynamical systems.