ABSTRACT
This chapter emphasizes to study the dynamic characteristics of single-degree-of-freedom (SDOF) systems in greater detail that are relevant and fundamental to the study of vibration and noise. It describes the differential equation of an undamped SDOF by using the method of differential operators as well as the complex exponential. The chapter outlines free vibration of a damped SDOF using a complex exponential and explains the important concepts of logarithmic decrement and impulse response function and the convolution integral. It discusses the magnitude and phase response of displacement, velocity, and acceleration to understand the similarities with the frequency response based on impedance. The chapter also discusses forced response is expressed in terms of impedance of an SDOF, and the frequency- dependent properties of magnitude and phase of the impedance. It talks about electromechanical analogy, which gives equivalent terms between electrical and mechanical systems and examines vibration transducers that will help measure vibration.
