摘要
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 Siediya and Cheung so-called beam-type element with inplane rotational dopes of freedom developed for shear wall structures, a higher orfer rectangular 8-14-noded element with 32-56 degrees of freedom is proposed.The element developed adopt a 3-6-orher polynomial as the interpolation function along the vertical direction each node has 4 degrees of freedom; 2 translations and 2 rotations. In order tp apply to shear walls with openings, the traditional concepts that only the polynomial is used as the inteoplation function of displacements are broken through by introducing the triangular series or vibrational mode functions of beams as additive bubble inteoplation functions of displacements, and then another higher older rectangular perforated element with 58-74 dopes of freedom is developed on the basis of the idea of the super-element. The numerical examples of linear static analysis for shear walls with and without openings show that the computing time of the elements used is only 1/8-1/4 and 1/4-1/2 times that of the 4-noded bilinear element and that of the 8-noded rectangular elerat, respectively. In addition, the elements with rotational degrees of freedom can directly connect with any form of beam elements.
出处
《海南大学学报（自然科学版）》
CAS
1997年第4期285-290,共6页
Natural Science Journal of Hainan University
