基于QR法的单层柱面网壳结构分析
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摘要
为解决传统有限元方法计算网壳结构时的缺点与不足,采用结构分析QR法对单层柱面网壳结构进行研究.根据QR法基本原理,导出了单层柱面网壳结构新的刚度方程及其计算格式,利用样条节点位移参数可求出结构节点位移和杆端力.依据QR法的计算要点和有限元法流程编制了相应的计算程序,计算了某单层柱面网壳结构的节点位移和内力,并将计算结果与有限元结果作对比.结果表明:该方法是一种经济可靠的结构分析计算方法,可用于单层柱面网壳结构及其他网壳结构的计算.
To solve deficiency and shortcoming of calculating the latticed shells by traditional finite element methods,the single-layer cylindrical latticed shell was studied by QR method for structural analysis.With the basic principle of QR method,the new stiffness equation and computational format of the singlelayer cylindrical lat-ticed shell were deduced,and the nodal displacements and nodal forces in all bars can be solved by the displacements of the spline nodes.Based on the computing point of QR method and the flow of finite element,the corre-sponding procedure was compiled.The node displacements and internal forces of some single-layer cylindrical lat-ticed shell was calculated and the results were compared with those of the finite element.The results show that the method is economical,effective and reliable for structural analysis which can be applied to computing the single-layer cylindrical latticed shell and other similar latticed shell structures.
To solve deficiency and shortcoming of calculating the latticed shells by traditional finite element methods,the single-layer cylindrical latticed shell was studied by QR method for structural analysis.With the basic principle of QR method,the new stiffness equation and computational format of the singlelayer cylindrical lat-ticed shell were deduced,and the nodal displacements and nodal forces in all bars can be solved by the displacements of the spline nodes.Based on the computing point of QR method and the flow of finite element,the corre-sponding procedure was compiled.The node displacements and internal forces of some single-layer cylindrical lat-ticed shell was calculated and the results were compared with those of the finite element.The results show that the method is economical,effective and reliable for structural analysis which can be applied to computing the single-layer cylindrical latticed shell and other similar latticed shell structures.
引文
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[3]沈世钊,陈昕,张峰,等.单层柱面网壳的稳定性(下)[J].空间结构,1998,4(3):53-55.
[4]邸龙,楼梦麟.单层柱面网壳在多点输入下的地震反应[J].同济大学学报:自然科学版,2006,34(10):1293-1298.
[5]邢佶慧,沈世钊.单层柱面网壳结构强震作用下抗震性能研究[J].中国安全科学学报,2004,14(11):8-14.
[6]钱若军,杨联萍,胥传熹.空间格构结构设计[M].南京:东南大学出版社,2007.
[7]秦荣.计算结构力学[M].北京:科学出版社,2001.
[8]秦荣.计算结构动力学[M].桂林:广西师范大学出版社,1997.
[9]王勖成.有限单元法[M].北京:清华大学出版社,2003.
[10]韩来彬.MATLAB有限元分析与应用[M].北京:清华大学出版社.2004.
[11]俞铭华,吴剑国,王林.有限元与C程序设计[M].北京:科学出版社,1998.
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