Response of two coupled oscillators and power transfer
Energetic statistic analysis of the vibroacoustic environment

We now analyze the case of two coupled oscillators (figure 4). The coupling is assumed to be conservative, i.e. no energy is dissipated at the junction. Coupling is expressed in terms of stiffness, mass or gyroscopic coupling coefficient. We therefore introduce a coupling stiffness K_c as well as a mass m_c and a gyroscopic coefficient g_c. The displacements of the two masses m₁ and m₂ are x₁ (t) and x₂ (t) respectively. The excitation forces on m₁ and m₂ are random, ergodic, stationary and uncorrelated. The latter condition translates into S_f1f2 = 0. Furthermore, it...