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本文介绍了多分辨率分析的基本概念,用分段三次B样条函数作为尺度函数建立了一种多分辨率梁单元。这种新单元除了能象一般梁单元使用之外,还可用于自适应分析去求解梁的局部动力特征。它列式简单,在用直接法求解的系统中算法效率较高。
In this paper, the basic concept of multi-resolution analysis is introduced. A multi-resolution beam element is established using the piecewise cubic B-spline function as a scaling function. In addition to being used as a general beam element, this new element can also be used for adaptive analysis to solve the beam’s local dynamic characteristics. It is simple and the algorithm is more efficient in the system solved by the direct method.