基于二代小波有限元梁单元的自适应分析  

Adaptive Analysis of Beam Element Based on Second Generation Wavelets

作　　者：魏忠斌[1] 何育民[1] 段志善[1] 申鹏[1] 

机构地区：[1]西安建筑科技大学机电工程学院,西安710055

出　　处：《振动．测试与诊断》2013年第S1期125-127,224,共4页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(51075314)

摘　　要：以梁单元为例,通过构造解耦的小波基函数,实现对梁单元的自适应分析,不但能够大幅度减少工作量、提高计算速度,而且得到较高的分析精度,验证了该方法的可行性和有效性。为实现更为复杂结构的二代小波有限元自适应分析提供了的研究思路。The second generation wavelet is a kind of wavelets which was structured in time domain.Except it has the characteristics of multiresolution, for lifting method' s flexible characteristics, we can structure the wavelet in the unit interval which meets the specific requirements. Here, taking beam element as an example, structuring decoupling wavelet basis function to realize beam element adaptive analysis. Not only can greatly reduce work load, improve calculation speed, but also can obtain a higher analysis precision. The results show that the method is practical and effective. At the same time,providing a good research ideas to achieve the second generation wavelet finite element adaptive analysis of more complex structure.

关 键 词：二代小波 提升方法 梁单元 自适应分析 

分 类 号：O241[理学—计算数学]