两种新型的弹性地基梁单元及其在超高层建筑结构简化分析中的应用  

TWO NEW TYPES OF ELASTIC-SUBGRADE BEAMS AND THEIR APPLICATIONS IN THE SIMPLIFIED ANALYSIS OF SUPER TALL BUILDINGS

作　　者：龚耀清[1] 包世华[2] 

机构地区：[1]河南理工大学土木工程学院,焦作454000 [2]清华大学土木系,北京100084

出　　处：《工程力学》2010年第8期107-112,共6页Engineering Mechanics

基　　金：河南省重点学科建设项目(504906;507909)

摘　　要：将超高层建筑空间巨型框架的巨型柱和梁分别简化成剪切型弹性地基梁和广义Winkler弹性地基梁单元,导出其单元刚度矩阵后,再按空间刚架分析计算,得到一种简化分析方法。简化巨型框架柱时,考虑与其相连的二级框架梁、柱的弯曲刚度,并将其作为巨型柱的剪切型弹性地基,构造出剪切型巨型弹性地基梁单元;简化巨型框架梁时,只考虑与其相连的二级框架柱的轴向刚度,并将其作为巨型梁的Winkler弹性地基,构造出广义Winkler巨型弹性地基梁单元。算例表明:简化计算的模型不仅是合理的、有效的,而且其计算结果的精度几乎与精确解有同级的精度。Two new types of mega-beam elements with elastic subgrade have been developed for the simplified analysis of super tall buildings. A simplified computational method is thusly obtained. The method can be applied by employing the commonly used computational program for computing the space frames after the stiffness matrices of the two elastic-subgrade elements are obtained. In the calculation of the elastic subgrade of the mega column, the bending rigidity of subsidiary frames within the mega frame is considered. Thusly, a new mega beam element solely of shearing deformation supported elastically is developed. Also the axial rigidity of the subsidiary columns within the mega frames is recognized, which contributes to the stiffness of the elastic subgrade of a generalized Winkler elastically-supported mega beam. Therefore, another new beam element of a generalized Winkler spring elastic support is acquired. It is observed that the simplification for the new elastically-supported beam elements is reasonable and effective. The accuracy of the results from the new simplified method is close to those of the exact solutions if any.

关 键 词：超高层建筑 空间巨型框架 简化分析 剪切型巨型弹性地基梁单元 广义Winkler巨型弹性地基梁单元 

分 类 号：TU973[建筑科学—结构工程]