圆底球形组合肋壳连续化分析方法  

The continuous analysis of spherical composite ribbed shell with round bottom

作　　者：常玉珍[1] 程迪焱 冯婷 矫璐超 龙彦鹏 牛泽林[1] 

机构地区：[1]西安建筑科技大学土木工程学院,陕西西安710055

出　　处：《西安建筑科技大学学报（自然科学版）》2017年第5期659-664,共6页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：国家自然科学基金青年科学基金项目(51308443);陕西省教育厅专项科研项目(15JK1384;16JK1443);住房和城乡建设部科学技术计划项目(2016-K4-021)

摘　　要：圆底球形组合肋壳由U型截面组合肋和上部钢筋混凝土薄壳共同组成,能克服普通钢筋混凝土薄壳施工中支模拆模的复杂工序,整个结构具有施工简便、工程成本低廉、受力优越等特点.本文基于连续化理论,将组合肋壳中组合肋部分处理成正交各向异性薄壳,与上面钢筋混凝土薄壳构成具有协同工作的双层壳,按照弹性小挠度薄壳理论,建立组合肋壳位移法基本方程式,引入应力函数,推导出混合法基本方程式,并分别给出上层钢筋混凝土薄壳和下层组合肋网薄膜刚度矩阵、弯曲刚度矩阵以及考虑组合肋与钢筋混凝土薄壳间偏心的耦合矩阵具体表达式.最后,以40m跨圆底球形正交组合肋壳为例,将理论分析与有限单元法结果进行比较.研究表明:连续化分析能宏观地了解结构的力学性能,可用于组合肋壳结构的初步设计,为组合壳体类结构理论研究提供参考.The spherical composite ribbed shell with round bottom consiste of U-shaped composite ribs and smooth RC shell,It can refrain from the complex processing of form work,and has the advantages of simple construction and superior mechanical performance.Based on the continuous theory,composite ribs are processed as an orthotropic RC shell,With the collaborative work between the equivalent orthotropic shell and the smooth shell,the whole structure is equated as a double-layer thin shell working interactively.Based on the elastic small deflection thin shell theory,the equations are derived from the displacement method,and through introducing the stress function,the governing differential equations from mixed method are found.The expressions of pellicle stiffness and shear stiffness for composite ribs and RC shell are put forward respectively.Considering a eccentric between composite ribs and RC shell,a coupling matrix is given too.Finally,40 mcomposite ribbed shell are studied,and the theoretical solutions are compared with finite element method results.It shows that continuous analysis method has certain precision,which can reveal the mechanical properties in macroscopic scope,and also can be used for preliminary design of RC composite ribbed shell to provide references for other similar composite shells in future.

关 键 词：拟壳法 连续化分析 圆底球形 组合肋壳 薄壳理论 无矩理论 

分 类 号：TU375.4[建筑科学—结构工程]