Dynamic Equilibrium Equations in Unified Mechanics Theory

Traditionally dynamic analysis is done using Newton’s universal laws of the equation motion. According to Newtonian mechanics, x, y, z, space-time coordinate system does not include a term for energy loss, an empirical damping “C” used in equilibrium equation. Energy loss any governed by thermodynamics. Unified Mechanics Theory (UMT) unifies motion Newton and thermodynamics at ab-initio level. As result, [entropy generation] automatically included (UMT). Using unified mechanics theory, derived presented. One-dimensional free vibration with frictional dissipation compare results proposed model that For entropy generation system, trend predictions comparable reported experimental mechanics-based predictions.