A 3D dynamics model of floating raft isolation system is established. This system comprises multi-source excitation, upper isolators, rifid floating raft, lower isolators and elastic foundation. The effect of multi-dimension wave propagation is considered, and the dynamic transmisson equations and power flow expressions are provided utilizing the substructure mobility method. Results of numerical simulation show that multiple resonance peaks are excited in the low frequency domain, and the power flow is increased due to the flexural resonance modals of the elastic foundation and the standing wave effect of the isolators in the high frequency domain. Reducing the isolator stiffness can significantly decrease the power flow but also makes the standing wave effect be advanced. Power flow transmitted to the foundation can be reduced by increasing the raft mass.

A 3D dynamics model of inclined isolation system is established. This system includes multi-source excitation, inclined elastic supports and beams on flexible foundation, and the coupling effect among them is considered. The admittances of longitudinal vibration and flexural vibration of the isolator are provided. Considering the effect of multi-dimension wave propagation, the dynamic transmission matrixes and power flow of the system are formulated. Results of numerical simulation show that the standing waves of the isolator due to the high frequency resonance are the main reason of slowing down the tendency of power flow decrease. And in medium-high frequency domain, the power flow through the vibration source and foundation decreases with the increasing of the inclination of the supports.