Calculation model of the lateral stiffness of high‐rise diagrid tube structures based on the modular method

• Published in: The structural design of tall and special buildings 2017-03, Vol.26 (4), p.np-n/a
• Main Authors: Liu, Chengqing, Ma, Kaiqiang
• Format: Article
• Language: English
• Subjects: cross‐sectional design method; diagrid structure; Finite element analysis; Finite element method; High rise buildings; Intersections; lateral displacement; lateral stiffness; Mathematical analysis; Mathematical models; modular method; Modular structures; optimization of diagonal angle; Stiffness; Tubes
• ISSN: 1541-7794; 1541-7808
• DOI: 10.1002/tal.1333

Summary High‐rise diagrid tube structures are widely used in high‐rise buildings because of their strong lateral stiffness and flexible arrangement of plane layout. The lateral stiffness of rectangular diagrid tube structures is studied by many researchers, but it seldom attracts attention for arbitrary polygonal ones. Therefore, it is necessary to propose a calculation model for lateral stiffness of arbitrary polygonal diagrid tube structures. First, the basic concept of modular method is defined. Assuming that diagonals are only subjected to axial force, a calculation model of lateral stiffness of arbitrary polygonal diagrid tube structures is presented. The lateral displacements of structures are calculated by modular method. Then the accuracy of modular method and calculation model of lateral stiffness are verified by finite element method. Intersection law of structural lateral displacement curves is achieved. Taking the top displacement of structures as the reference index and based on the principle of equivalent material, diagonal angle optimization method is proposed, whose rationality is validated by finite element method. Based on the design method of top displacement control, preliminary design method of cross section of diagonals is suggested. Results in this paper are expected to provide a theoretical reference for preliminary engineering design.