Finite Element Approach for Analyzing Continua under Harmonic Loads from the Base

Due to some restrictions to the numerical simulation of continua vibrations from the base, including rigid-body motion, constrains, loading mode and so on. An approach named the static inertia method is presented based on the principle of harmonic base vibration and FEM. This approach transforms the original problem into an ordinary harmonic vibration with fixed base according to the equivalent form of base load. The response is numerically simulated by combining the general FEM software with self-developed data processing software. Both the theoretical and numerical results show that the static inertia method is of effectiveness, simple implement and accurate.