# Mechanical vibrations: kinetics of kinematics?

In books of dynamics, I normally see topics in kinematics and then in kinetics, and finally a last chapter on mechanical vibrations dealing with SDOF and MDOF systems. But I do not see any book mentioning how the topic of vibration fits in dyynamics? It feels natural to say to mechanical vibrations would be an extension of kinetics.

What is the correct classification of mechanical vibrations?

• What you say about SHM makes sense for linear systems as you point out. Is this why we have topics on kinematics of particles for which we say that rotation about mass centre is neglected? When we have a rigid body like a disc turning on a shaft and we write the equation of motion $J\ddot{\theta} + k\theta=0$, the disc is then assumed to consist of many particles but with each particle without any rotation about its own axis? Is this correct? Aug 21 '18 at 9:14