Mechanical vibrating systems

Abstract

The mathematical description of vibrating systems is achieved by means of the equations of motion or equations of vibration. These are determined from the fundamental physical laws governing the system under consideration. Thus it is not possible to give within the scope of this book a full presentation of the equations of motion of all vibrating systems. Instead, the methods and procedures will be illustrated on examples of mechanical multi-dof-systems. This section begins with the discussion of the choice of suitable models which contain all the essential technical properties of the vibrating system. Then follows a kinematical description of the possible motions of the system, and finally the fundamental laws of dynamics are applied, especially Lagrange’s equations of motion and the Newton-Euler equations.