The shear strength of a soil is very important in this regard and if you erect machine with higher vibrations and weight than the strength of soils ,the foundation may sink and the building may collapse. This is the reason why the concrete base must be fortified granite to withstand the vibrations and I suggest that most roads and houses collapse because most civil engineers and architects do not carry tests on soil shear strenght before constructing roads and building of houses
This is called a soil-structure interaction problem and you need to be more specific as to what you are seeking. You will need soil parameters and the type of machine and the dynamic forces being introduced by the machineto the foundation. In most cases, pads are also used and you will need to indicate then types of padding used.