Duabechies小波基梁单元的构造及应用研究  

Study of the Construction and Application of Duabechies Wavelet-based Beam Element

作　　者：马军星[1] 薛继军[2] 杨胜军[2] 何正嘉[2] 

机构地区：[1]长安大学工程机械学院,陕西西安710061 [2]西安交通大学机械工程学院,陕西西安710049

出　　处：《小型微型计算机系统》2004年第4期663-666,共4页Journal of Chinese Computer Systems

基　　金：国家自然科学基金资助项目 ( 5 0 175 0 87)资助

摘　　要：以 Daubechies小波尺度函数作为单元插值函数 ,构造了一类小波基梁单元 .由于采用节点挠度和转角作为单元自由度 ,单元连接和约束条件处理能够像传统单元一样方便地进行 ,从而使该小波基梁单元可有效地用于变截面、局部承载等复杂梁弯曲问题分析 .数值算例表明 ,本文构造的小波基梁单元对不同约束条件、不同结构形式梁弯曲问题均有较高分析精度 .In this paper, a class of wavelet based beam elements is constructed by using Daubechies scaling functions as interpolating function. Because the nodal lateral displacements and angles are used as element degree of freedom, the connection between neighboring elements and boundary conditions can be processed simply as done in traditional elements. Then, it is realized that the complicated beams such as those with unequal cross section, local load and so on, can be analyzed by this wavelet based element. The numerical examples illustrate that the wavelet based element has high analytical accuracy for beam bending problems with various boundary conditions and structures. A new approach is presented for finite element method.

关 键 词：DAUBECHIES小波 尺度函数 小波基梁单元 变截面梁 

分 类 号：TB115[理学—数学]