Vibration Dynamics

In this chapter, we review the dynamics of vibrations and the methods of deriving the equations of motion of vibrating systems. The Newton–Euler and Lagrange methods are the most applied methods of deriving the equations of motion. Having symmetric coefficient matrices for multi-degrees-of-freedom linear vibrating systems is the main advantage of using the Lagrange method in mechanical vibrations. For example, Fig. 5.1 illustrates a one degree of freedom vibrating system.