Response of a Single Degree of Freedom System

This chapter focuses on the response of a single degree of freedom (SDOF) system. It explains the basic procedure of vibration analysis which can be further extended for a system with a higher degree of freedom system. The chapter begins with the un-damped free response, damped free response and forced harmonic response of a SDOF. These are further extended for the response due to rotating unbalance and external motion, which form the basis of working principles of vibration isolator and vibration measuring instruments. This chapter also covers the response of a SDOF system due to transient force by using convolution integral and method of Laplace transform. Free and forced response of system having Coulomb and hysteretic damping are also explained.