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
发表刊物：COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
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.