摘要
根据张量积二维小波理论,利用Daubechies小波的正交性,建立了基于梁结构动力学方程和有限元方程的一维分布动载荷的识别方法,即二维小波-伽辽金方法。该方法将动力学方程和有限元方程由时域转化到小波域中,从而将时域中复杂的卷积关系变成小波域中简单方程组的求解。仿真算例表明,该方法能有效识别一维梁结构上的分布动载荷且计算效率较高。
A method of using the tensor product wavelet theory and the orthogonality of Daubechies wavelet to identify the distributed dynamic load acting on a beam is presented.The method is also named as wavelet Galerkin method.The dynamic equation and the finite element equation of the beam are transformed from time domain into wavelet domain,so the convolution equation is replaced by a simple linear equation group.The simulation example shows that the method can effectively identify the one-dimensional distribution dynamic load and has high calculation efficiency.
出处
《振动．测试与诊断》
EI
CSCD
北大核心
2012年第6期1005-1009,1040,共5页
Journal of Vibration,Measurement & Diagnosis
关键词
载荷识别
分布动载荷
动力学
小波方法
load identification,distributed load,dynamics,wavelet method
