基于小波方法的无限自由度体系地震动输入能量研究

Research on seismic input energy of IDOF system based on wavelet method

将小波分解的地震激励应用于无限自由度体系,得到地震动对结构的相对输入能量可以表示为各个频段地震动输入能量的叠加。相比单自由度与多自由度而言,无限自由度体系应用小波分解会产生较大的误差,但这并不影响研究小波分解后各个频段对单一固有振型输入能量贡献的大小,我们可以分析不同地震波的不同频段对不同振型的反应,这将比较有意义。

By wavelet analysis method,the earthquake ground motion used for IDOF systems can be decomposed into several different frequency bands. The structural＇s relative input energy from the ground motion also can be expressed as the superposition of several energy inputs belongs to different wavelet components. comparing with single-degree of freadom system and multi-degree of freedom system,there exist a certain amount of errors when using wavelet to decompose displacement response of the IDOF system into different vibration modes,it does not affect the wavelet components＇ input energy contribution to a single natural vibration mode. We can analyze different modes＇ response of the different seismic wave＇s different frequency bands,it will be more meaningful.