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在香港大学Y.K.Cheung和Sisodiya提出用于剪力墙结构分析的带面内转角的平面应力单元的基础上,本文提出了一类具有32-56个自由度的高阶矩形单元,这类单元在铅垂方向采用3-6次多项式插值,具有8-14个结点,每个结点具有2个位移自由度和2个面内转角自由度,在上述单元的基础上,又提出了一类采用三角级数或梁的振型函数作泡状函数的自由度数目为58-74的高阶开孔矩形单元,对开孔剪力墙的计算表明,本文单元与8节点矩形单元和4节点双线性矩形单元相比,其位移精度分别提高2倍和4倍以上,应力精度提高的幅度则更大.而且该二类单元由于考虑了面内转角,可方便地与梁柱单元相连接.
Based on the plane stress element with in-plane corners used for shear wall structural analysis proposed by YK Cheung and Sisodiya of the University of Hong Kong, this paper proposes a class of high-order rectangular elements with 32-56 degrees of freedom. The vertical direction uses 3-6 polynomial interpolations and has 8-14 nodes. Each node has 2 degrees of freedom of displacement and 2 degrees of freedom of in-plane rotation. On the basis of the above-mentioned elements, a new class is proposed. High-order open rectangular cells with a number of degrees of freedom of 58-74 are used as the bubble-like function of the triangular series or beams. The calculation of the open-hole shear wall shows that the element and 8-node rectangular elements and 4 nodes are used in this paper. Compared with bilinear rectangular units, the displacement accuracy is improved by 2 times and 4 times respectively, and the stress accuracy is increased by a larger margin. Moreover, the second type of unit can be easily connected with the beam column unit because of considering the in-plane rotation angle. .