（中国建筑设计研究院， 北京 100044）

［摘要］为了考察位于斜坡地面上框架结构的受力特点，分别建立了短向坡地、长向坡地和双向坡地三类计算模型，并分别考虑地面高差为1层与2层时的情况。详细分析了坡地建筑与平地建筑在结构动力特性、水平地震作用下的侧向位移与层间位移角、考虑偶然偏心作用时的扭转位移比、楼层侧向刚度比以及结构内力等方面的差异。分析结果表明，坡地建筑地下室侧向刚度较小，结构自振周期较长，平动振型与扭转振型相互耦联。随着地面坡度增大，结构自振周期增幅以及平动、扭转耦联程度随之加大。在水平地震作用下，坡地建筑地下室墙体顶点楼层的侧向位移与层间位移角均明显大于平地建筑。短向坡地建筑地下室对上部结构嵌固效果较好，长向坡地建筑次之，双向坡地建筑最差。在水平地震作用下，坡地建筑地下室顶板及其下部相邻层楼板应力与楼面梁轴力显著增大。随着地面坡度增大，楼板应力与楼面梁轴力增幅加大，而且影响范围向下延伸。针对坡地建筑受力的特点，提出相关的设计建议。

［关键词］坡地建筑； 动力特性； 扭转位移比； 侧向刚度比； 嵌固效果

中图分类号：TU375，TU973+.2文献标识码：A文章编号：1002-848X(2016)23-0001-09

Analysis on performances of frame structures on sloping ground

Fan Zhong, Liu Tao, Yang Su, Gao Song

(China Architectural Design  & Research Institute, Beijing 100044, China)

Abstract:In order to study the performance of frame structures on sloping ground, three analytical models were established, in which the ground surface inclines in short side direction, long side direction and two directions respectively, and the effect of ground with one or two storey  height differential was considered. The difference between buildings at inclined and horizontal field in dynamic characteristics, lateral displacement and inter story drift ratio under horizontal earthquake, torsional displacement ratio resulted from accidental eccentricity, lateral stiffness ratio and internal force were analyzed in detail. Analyzed results show that the lateral stiffness of the buildings at sloping field is relatively small, the vibration periods are lengthened, and the translational vibration modes are coupled with the torsional modes. According to the increase of ground surface inclined angle, the natural vibration period and translation-torsion coupling degree are enlarged. The lateral displacement as well as inter-story drift ratio at the basement top of buildings at sloping field under earthquake are significantly larger than that of horizontal field. The slope of ground surface along the short side direction has the best embedded effect for structures, followed by the slope of ground surface along the long side direction, and the slope of ground surface along both directions. For the buildings at sloping field, the stresses of slabs and axial forces of beams on the ground floor and adjacent lower floor increase significantly under earthquake. With the increase of ground surface slope, the stresses of slabs and axial forces of beams greatly increase, and the influence scope of which extends downward. According to the features of buildings at sloping field, the structural design suggestions were presented.

Keywords: building at sloping field; dynamic characteristic; torsion-translation ratio; lateral stiffness ratio; embedded effect

作者简介：范重，博士，教授级高级工程师，一级注册结构工程师，Email：fanz@cadg.cn。