Abstract: There are lots of restrictions to numerical simulation of continua vibrations from the base, including rigid-body motion, constrains, loading mode, stability of numerical algorithm and so on. By theoretical deduction and FEM calculation of the structural response under harmonic vibration of the base, a new effective approach called static inertia method is proposed. Based on the equivalent form of base load, general FEM software and self-developed data processing program, the new method transforms the original problem into an ordinary harmonic vibration problem with fixed base. Both of experimental and numerical results with the probe for detecting the temperatures inside turboprop indicate that the static inertia method is an effective method with simple implementation and accurate response results. It overcomes the restrictions of existing methods and provides a new approach to solving the problems such as harmonic vibration, flush and anharmonic vibration from the base.

Key words: Base excitation, Equivalent load, Finite element, Harmonic vibration, Response history