Mechanical Vibrations Modeling

In this chapter, we study 1—mechanical elements of vibrating systems, 2—physical causes of mechanical vibrations, 3—kinematics of vibrations, 4—simplification methods of complex vibrating systems, and 5—mathematical review of mechanical vibrations. We will solve and review a general mass–spring–damper system and then will make other vibrating systems to be reduced to an equivalent system. Such equivalence yields a generalization in mathematical treatment of vibrating systems. The first section defines all fundamental terms we need to study vehicle vibrations.