Harmonic oscillations

Abstract

Dynamical loads cause inertial forces ρü in a structure. These forces appear on the left-hand side of the differential equation

$$Du+\rho \ddot{u}=p(x,t)$$

If the excitation is harmonic

$$p(x,t)=p(x)\cos (\omega t+\varphi )$$

, then the response of the structure is also harmonic. This important case is the topic of this chapter.