多尺度模型在贝壳形单层网壳分析中的应用研究*
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(1 天津大学建筑工程学院，天津 300072；2 滨海土木工程结构与安全教育部重点实验室（天津大学），天津 300072)［摘要］基于多尺度建模方法，在有限元分析软件中实现了局部模型和宏观模型的连接，将整体结构中受力复杂的节点用实体单元建立，利用ANSYS软件中的多点约束方程连接梁单元与实体单元，同时建立了双支座有限元模型，精确模拟了节点域的边界条件，对比研究了传统梁单元模型与多尺度有限元模型在自重与温度荷载作用下的计算结果，结果显示梁单元不能精确模拟整体结构中受力复杂区域的受力状态，对受力复杂区域应采用高阶单元建立模型。研究表明多尺度建模方法能够有效地应用于复杂结构的整体分析中，可在计算精度和计算代价中寻求较好的平衡点。［关键词］多尺度模型; 双支座; 接触对; 约束方程; 贝壳形网壳中图分类号：TU392.1 文献标识码：A 文章编号：1002-848X(2015)05-0030-04Application of multi-scale model in analysis of conch-shaped single-layer reticulated shell structureZhao Zhongwei1, Zhu Han1, Chen Zhihua1,2, Liu Hongbo1(1 School of Civil Engineering, Tianjin University(Tianjin University), Tianjin 300072, China; 2 Key Laboratory of Coast Civil Structure and Safety of Ministry of Education(Tianjin University), Tianjin 300072, China)Abstract: Based on the multi-scale modeling method, the connection of local model and macroscopic model was realized in finite element analysis software, and joints with complex mechanical condition in the overall structure were established with solid elements. With multi-point constraint equations in ANSYS software, beam element and solid element were connected to establish the double bearing finite element model and joint domain boundary conditions were accurately simulated. Comparative study of calculation results of the traditional beam element model and multi-scale finite element model were carried out under the effects of gravity and temperature loads. The results show that the beam element can not accurately simulate the stress state of complex stress region in the overall structure, and high order element should be used to establish the model of regions with complex stress. Research shows that multi-scale modeling method can be effectively applied in the overall analysis of the complex structure, and a better balance between accuracy and calculation cost can be found.Keywords: multi-scale model; double bearing; contact element; constraint equation; conchshaped reticulated shell*国家自然科学基金(51208355)。通讯作者:刘红波，博士，副教授，Email:hb_liu2008@163.com。参考文献［1］LIU HAIFENG, LOU RONG, LUO YAOZHI, et al. Multi-scaled simulation of latticed frames considering bending collapse of pipes ［J］. Journal of Chongqing University (English Edition), 2012, 11(4): 167-176.［2］陆新征,林旭川,叶列平.多尺度有限元建模方法及其应用［J］.华中科技大学学报：城市科学版,2008,25(4):76-80.［3］张政华,毕丹,李兆霞.基于结构多尺度模拟和分析的大跨斜拉桥应变监测传感器优化布置研究［J］.工程力学,2009,26(1):142-148.［4］汪楚清,王虎长,李亮,等.大跨越输电钢管塔结构多尺度有限元分析［J］.工程力学,2013,30(7):147-152.［5］SREENATH S, SARAVANAN U, KALYANARAMAN V. Beam and shell element model for advanced analysis of steel structural members［J］. Journal of Constructional Steel Research, 2011, 67(12): 1789-1796.［6］YU Y, CHAN T H T, SUN Z H, et al. Mixed-dimensional consistent coupling by multi-point constraint equations for efficient multi-scale modeling［Ｊ］. Advances in Structural Engineering, 2012,15(5): 837-854.［7］LI Z X, ZHOU T Q, CHAN T H T, et al. Multi-scale numerical analysis on dynamic response and local damage in long-span bridges［J］. Engineering Structures, 2007, 29(7): 1507-1524.［8］陈志华，徐皓，王小盾，等.天津于家堡综合交通枢纽贝壳形超大跨度单层网壳结构设计关键技术［J］.建筑结构,2014,44(7): 33-36.
