Response of Two-Degree-of-Freedom Systems to White Noise Base Excitation

The response of a coupled two-degree-of-freedom system to white noise excitation is obtained analytically for a wide variation of the dimensionless parameters of the system. The interrelations of these parameters on the response are illustrated and shown to be very significant when the uncoupled natural frequencies of the system are of the same order. The limitations of approximation methods based on single-degree-of-freedom system or uncoupled two-degree-of-freedom system models are indicated. The applicability of the study to dynamic vibration absorber principles is evident. The responses are compared to previously published results.