摘要
为了考虑屋面板与网壳协同工作,根据应变能相等的原则,将屋面板等代为边梁,将板的面外弯曲刚度和面内切应变刚度分别等代为边梁沿两个惯性轴方向的抗弯刚度,将板的面内正应变刚度等代为边梁的轴向刚度,可求得等代边梁的截面面积和惯性矩。将等代边梁和原有梁组成等代组合梁,可得到等代组合梁的截面面积和惯性矩,并集成刚度矩阵,使用空间刚架位移法求得结构的变形和内力。对所求内力进行分配,即可获得原结构梁的内力。借助ANSYS有限元软件分别计算正交正放网格柱面网壳和Kiewitt型球面网壳在考虑梁板共同工作时的内力,并与提出方法计算结果进行对比分析,结果表明,两种计算方法所得结果误差在5%以内,验证了提出方法的正确性。
In order to consider the influence of roof slabs on reticulated shell beams,the roof slabs were replaced by edge beams.According to the principle of equal strain energy before and after equivalent stiffness was determined,the out-of-plane bending stiffness and in-plane shear strain stiffness of the slab were respectively replaced by the bending stiffness of edge beams along two inertial axes,and the in-plane normal strain stiffness of the plate was replaced by the axial stiffness of the edge beam,and the cross-sectional area and moment of inertia of the equivalent edge beam were obtained.Furthermore,the equivalent-generation edge beam and the original beam form an equivalent-generation composite beam,and the cross-sectional area and moment of inertia of the equivalent-generation composite beam were obtained,and then the stiffness matrix was integrated,and the deformation and internal force of the structure were obtained using the spatial steel frame displacement method.The obtained internal forces were distributed,and the internal forces of the equivalent beam and the original structural beam can be calculated respectively.Finally,with the help of finite element software ANSYS,the internal forces of the orthogonal positive grid cylindrical reticulated shell and the Kiewitt-type spherical reticulated shell were calculated when the beam and plate work together,and were compared with the calculation results of the method proposed in this paper.The results show that the error of the results obtained by the two calculation methods are within 5%,which demonstrates the correctness of the method proposed in this paper.
作者
夏永强
肖南
张子昊
钱晓倩
林恒屹
张杰
张海钧
XIA Yongqiang;XIAO Nan;ZHANG Zihao;QIAN Xiaoqian;LIN Hengyi;ZHANG Jie;ZHANG Haijun(School of Civil Engineering and Architecture,Zhejiang University of Science and Technology,Hangzhou 310023,China;Research Centre for Balance Architecture,Zhejiang University,Hangzhou 310028,China;College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310058,China;The Architectural Design&Research Institute of Zhejiang University Co.,Ltd,Hangzhou 310028,China;Hangzhou Institute of Urban and Rural Construction and Development,Hangzhou 310058,China)
出处
《建筑结构学报》
EI
CAS
CSCD
北大核心
2023年第9期151-161,共11页
Journal of Building Structures
基金
2022年浙江省“尖兵”“领雁”研发攻关计划(2022C03157)。
关键词
网壳
屋面板
空间刚架位移法
梁板结构
应变能
reticulated shell
roof board
spatial steel frame displacement method
beam slab structure
strain energy
