基于谐波小波的结构动力反应

Structural dynamic response via harmonic wavelet transform

谐波小波具有明确简单的数学表达式,且每一个尺度均对应一个没有重叠的频率带,同时可通过FFT计算得到小波系数;因而谐波小波能够很好地适用于结构动力学研究。基于谐波小波理论及结构动力学分析方法,推导出基于谐波小波的动力学方程,给出了结构动力反应谐波小波系数计算方法;同时通过实例分析,说明谐波小波在结构动力学研究方面具有较大的应用价值。

Harmonic wavelet has simple and explicit mathematical expressions and each scale corresponds to a non-overlapping frequency band.The wavelet coefficient can be obtained by FFT.Thus,the harmonic wavelet can be effectively applied to structural dynamic study.The dynamics equation was deduced based on harmonic wavelet theory and the structural dynamics analysis method.The calculation method of the harmonic wavelet coefficient of structural dynamic response was given.Meanwhile,we illustrated the harmonic wavelet had great application value in the field of structural dynamics research through the case analysis.