Читать книгу Vibroacoustic Simulation - Alexander Peiffer - Страница 19

When an external force F^xcos⁡(ωt) is exciting the damped oscillator as shown in Figure 1.1 b), applying Newton’s second law we get for the equation of motion:

(1.23)

This is an inhomogeneous, linear, second-order equation for u. The solution of this equation is given by a particular solution uP(t) and the solutions of the homogeneous Equation (1.1) uH(t).

(1.24)

Any linear combination of the homogeneous solution can be added to the particular solution because it equals zero.