连续体简谐基础振动有限元计算方法

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

针对简谐基础激励下,连续体响应数值计算存在刚体位移、约束方式和载荷施加方式等限制,基于基础振动和有限元实现原理,提出了一种求解简谐基础振动响应的方法——静力等效载荷法。根据连续体等效载荷形式,将简谐基础振动问题转化为固定基础的载荷简谐振动;并结合通用有限元软件和自编数据处理程序,实现了响应特性的数值计算。计算和理论结果表明,该方法实现简单、结果准确,能有效地求解无阻尼和弱阻尼连续体简谐基础振动问题。

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.