Читать книгу Introduction to Mechanical Vibrations - Ronald J. Anderson - Страница 29

The study of Vibrations is the study of the behavior of dynamic systems as they experience small motions around stable equilibrium states. The steps in arriving at the governing equation 10 of motion are

 The nonlinear equations of motion for a system can be derived using either Newton's Laws or Lagrange's Equation.

 The nonlinear equations of motion can be used to find equilibrium states for the system.

 The degrees of freedom of the system can be replaced by their stable equilibrium values plus very small variables representing motions away from equilibrium.

 The equations of motion can be linearized so that small motions about the stable equilibrium state are governed by linear, ordinary, differential equations.