MT-1620 Fall 2002 Forced vibration The homogeneous solution is still valid, but must add a particular solution The simplest case here is a constant load with time Figure 20.2 Representation of constant applied load with time (think of the load applied suddenly step function at t= O) The governing equation is mq kq= F The particular solution has no time dependence since the force has no time dependence Paul A Lagace @2001 Unit 20-6MIT - 16.20 Fall, 2002 Forced Vibration The homogeneous solution is still valid, but must add a particular solution The simplest case here is a constant load with time… Figure 20.2 Representation of constant applied load with time (think of the load applied suddenly ⇒ step function at t = 0) The governing equation is: m q˙˙ + k q = F0 The particular solution has no time dependence since the force has no time dependence: F0 qparticular = k Paul A. Lagace © 2001 Unit 20 - 6