Earthquake Wave Energy Flow and Distribution

The mathematical modelling for earthquake wave energy flow from the earthquake source travel along the propagation path and finally reached to site leading to relative response of the structure. The total energy input into a structure exerted by an earthquake depends on the total mass and on the fundamental natural period of the structure. When the system is subjected to strong earthquake shaking, part of the incident wave energy is dissipated by scattering from the foundation and by deformation of soil along with isolator, and the rest is transmitted into the building. The equation of motion for the system are derived including non linear geometry and soil behaviour, coupling of soil acceleration with the rocking and horizontal translation, and the effect of gravity forces. For the building, the total input earthquake energy is calculated