Frequency-domain analysis

Abstract

This chapter presents the frequency-domain analysis of mechanical vibrating systems. In the frequency domain, the independent variable is frequency. The response of a vibrating system to harmonic excitations under various levels of damping (overdamped, under damped, and critically damped) is analyzed. Frequency transfer function techniques including impedance, mobility, force transmissibility, motion transmissibility, and receptance are studied. Transform techniques (Fourier and Laplace) are applicable in the frequency-domain analysis. The Q-factor method of measuring damping is derived. Component interconnection laws are established for frequency-domain analysis. The emphasis is on single-degree-of-freedom (single-DoF) systems.