The definition of " mode shape" for multistory building subjected to earthquake load. This mode may take first of 2 ..3 etc mode, Does any one explain the meaning of this term physically and algebraically?
For a N-dof structure, there exist N specific shapes or structural configurations such that if the structure is set into free vibration by giving it an initial displacment profile that corresponds to any of those N specific shapes, the structure will vibrate maintaing that shape and at a particular frequency. Those N shapes are the mode shapes.