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    • 副教授       硕士生导师
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:汽车工程学院
    • 学科:车辆工程. 计算力学. 固体力学
    • 办公地点:大连理工大学综合实验2号楼418B房
    • 联系方式:yangxia@dlut.edu.cn
    • 电子邮箱:yangxia@dlut.edu.cn

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    Design of self-supporting surfaces with isogeometric analysis

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    论文类型:期刊论文

    第一作者:Xia, Yang

    通讯作者:Xia, Y (reprint author), Dalian Univ Technol, Sch Automot Engn, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China.; Xia, Y; Wang, WP (reprint author), Univ Hong Kong, Dept Comp Sci, Hong Kong, Peoples R China.

    合写作者:Mantzaflaris, Angelos,Juttler, Bert,Pan, Hao,Hu, Ping,Wang, Wenping

    发表时间:2019-08-15

    发表刊物:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

    收录刊物:EI、SCIE

    卷号:353

    页面范围:328-347

    ISSN号:0045-7825

    关键字:Masonry structure; Self-supporting; Isogeometric analysis; Equilibrium approach; Architectural geometry

    摘要:Self-supporting surfaces are widely used in contemporary architecture, but their design remains a challenging problem. This paper aims to provide a heuristic strategy for the design of complex self-supporting surfaces. In our method, non-uniform rational B-spline (NURBS) surfaces are used to describe the smooth geometry of the self-supporting surface. The equilibrium state of the surface is derived with membrane shell theory and Airy stresses within the surfaces are used as tunable variables for the proposed heuristic design strategy. The corresponding self-supporting shapes to the given stress states are calculated by the nonlinear isogeometric analysis (IGA) method. Our validation using analytic catenary surfaces shows that the proposed method finds the correct self-supporting shape with a convergence rate one order higher than the degree of the applied NURBS basis function. Tests on boundary conditions show that the boundary's influence propagates along the main stress directions in the surface. Various self-supporting masonry structures, including models with complex topology, are constructed using the presented method. Compared with existing methods such as thrust network analysis and dynamic relaxation, the proposed method benefits from the advantages of NURBS-based IGA, featuring smooth geometric description, good adaption to complex shapes and increased efficiency of computation. (C) 2019 Elsevier B.V. All rights reserved.