阻尼连续体简谐基础振动的有限元实现方法

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

针对简谐基础激励下,阻尼连续体响应结果数值计算存在刚体位移、约束方式、载荷施加方式和数值算法稳定性等限制,依据连续体基础振动原理和有限元数值计算实现过程推导,提出一种求解简谐基础振动响应的有效方法——静力等效载荷法。该方法依据连续体等效载荷形式,结合通用有限元软件和自编数据处理程序,将简谐基础振动问题转化为固定基础的载荷简谐振动。通过某航空涡轮发动机气流测温探针简谐基础振动试验和仿真结果对比表明,静力等效载荷法能够有效地求解阻尼连续体简谐基础振动问题,具有实现简单、结果准确和响应结果直观的特点,且克服了时间历程法和反映谱法的诸多限制,为复杂阻尼结构简谐基础振动、基础冲击和非简谐基础振动等问题求解提供了新思路。

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.