基于小波有限元的移动荷载识别  

Moving force identification based on wavelet finite element method

作　　者：尤琼[1] 史治宇[1] 罗绍湘[2] 

机构地区：[1]南京航空航天大学飞行器结构力学与控制教育部重点实验室,江苏南京210016 [2]香港理工大学土木与结构工程系

出　　处：《振动工程学报》2010年第2期188-193,共6页Journal of Vibration Engineering

基　　金：国家自然科学基金项目(10772076);江苏省自然科学基金(创新人才学术带头人)项目(BK2006520);江苏省研究生培养创新项目(CX09B-071Z)

摘　　要：小波有限元桥梁模型以区间B样条小波尺度函数为插值函数,构造了小波有限元梁单元,并通过单元转换矩阵建立了小波空间与物理空间各参数之间的关系;代表车载的移动力则投影到小波空间,从而建立基于小波的车桥系统相互作用模型。采用动态规划技术与T ikhonov正则化方法识别移动力,避免了直接处理反问题时的两端振荡与数值计算病态解等问题。仿真算例表明,与传统有限元模型相比,在相同条件下,小波有限元模型以较少的单元,在相似的识别时间内可获得相似的移动力识别精度。The beam elements are constructed by the scale function of BSWI, which plays as an interpolation function for WFEM bridge model, and an elemental transformation matrix is formed to combine the wavelet and physical spaces; The moving forces are mapped into wavelet space correspondingly, so that the model of vehicle-bridge interaction system based on wavelet is set up. The dynamic programming technique and Tikhonov regularization are used for the moving force identification, which inherently avoids large fluctuations on the two boundaries and ill-conditioned problem. Numerical results show the WFEM gives a similar accuracy by similar computation efforts with much fewer elements under the same condition.

关 键 词：小波有限元法 区间B样条小波 转换矩阵 动态规划技术 正则化 

分 类 号：TU311.3[建筑科学—结构工程]