Analog modelling in qualitative analysis of vibration propagation

The theory of dynamic systems is usually used to model the real systems. The models are based on solving ordinary differential equations, partial or difference, which enable obtaining the relation between input signal and the system response (output signal). The analogy between those models and generalized dynamic systems or control systems can be practically used. Vibration propagation can be described in a similar way as the phenomena of vibrations of the electrical, mechanical, or hydraulic systems, diffusion, heat propagation, wave propagation or advection. The physical problem will be solved based on generalized dynamic systems, which enables drawing corresponding conclusions. This concept will be applied to qualitative analysis of vibration propagation in the foundations of transportation constructions