FORM FINDING OF FREE-FORM SHELLS WITH SPECIFIED HORIZONTAL PROJECTED STRESS DISTRIBUTION

被引:0
|
作者
Nakajima T. [1 ,2 ]
Ohsaki M. [1 ,2 ]
机构
[1] Dept. of Architecture and Architectural Eng., Kyoto Univ.
[2] Dept. of Architecture and Architectural Eng., Kyoto Univ.
来源
关键词
Finite difference method; Finite element analysis; form finding; Free-form shells; Horizontal projected stress; Uniformed stress distribution;
D O I
10.3130/aijs.88.945
中图分类号
学科分类号
摘要
A form-finding method is proposed for free-form shells specifying the distribution of stresses projected to the horizontal plane. The surface shape is obtained as a solution to a linear system of the vertical equilibrium equations discretized by the finite difference method with respect to the heights at the grid points. Distribution of the shear stress is specified to generate various shapes with a region of negative Gaussian curvature and free boundary. Effect of elastic deformation is verified by finite element analysis, and the shape is iteratively corrected to achieve the specified projected stress distribution considering the material property. © 2023 Architectural Institute of Japan. All rights reserved.
引用
收藏
页码:945 / 953
页数:8
相关论文
共 50 条
  • [41] STABILITY ANALYSIS OF FREE-FORM RETICULATED SHELLS WITH SEMI-RIGID JOINTS
    San, Bingbing
    Zhao, Wenhui
    Qiu, Ye
    Han, Shiwen
    JOURNAL OF THE INTERNATIONAL ASSOCIATION FOR SHELL AND SPATIAL STRUCTURES, 2023, 64 (02): : 84 - 94
  • [42] A direct approach to achieving efficient free-form shells with embedded geometrical patterns
    Meng, Xianchuan
    Zhang, Li-Yuan
    Zhao, Zi-Long
    Xie, Yi Min
    THIN-WALLED STRUCTURES, 2023, 185
  • [43] Computational Grid Generation for the Design of Free-Form Shells with Complex Boundary Conditions
    Li, Tierui
    Ye, Jun
    Shepherd, Paul
    Wu, Hui
    Gao, Boqing
    JOURNAL OF COMPUTING IN CIVIL ENGINEERING, 2019, 33 (03)
  • [44] Evaluation of structural capacity of triangular and hexagonal reinforced concrete free-form shells
    Caycedo Garcia, Maya Sian
    Siqueira, Gustavo Henrique
    Marcos Vieira Junior, Luiz Carlos
    Vizotto, Isaias
    ENGINEERING STRUCTURES, 2019, 188 : 519 - 537
  • [45] Two-step shape optimization methodology for designing free-form shells
    Liu, Yang
    Shimoda, Masatoshi
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2015, 23 (01) : 1 - 15
  • [46] Isoparametric line dividing grid generation method for free-form lattice shells
    Ding, Hui
    Luo, Yao-Zhi
    Luo, Yao-Zhi, 1795, Zhejiang University (48): : 1795 - 1801
  • [47] Fundamental frequency maximization of orthotropic shells using a free-form optimization method
    Shi, Jin-Xing
    Nagano, Tomohiro
    Shimoda, Masatoshi
    COMPOSITE STRUCTURES, 2017, 170 : 135 - 145
  • [48] Stress constrained topology optimization with free-form design domains
    Cai, Shouyu
    Zhang, Weihong
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 289 : 267 - 290
  • [49] FORM FINDING OF SHELLS BY STRUCTURAL OPTIMIZATION
    BLETZINGER, KU
    RAMM, E
    ENGINEERING WITH COMPUTERS, 1993, 9 (01) : 27 - 35
  • [50] ORNAMENTAL DISCRETISATION OF FREE-FORM SURFACES Developing digital tools to integrate design rationalisation with the form finding process
    Manahl, Markus
    Schimek, Heimo
    Ruffo, Emanuel
    Dominguez, Calderon
    Wiltsche, Albert
    PROCEEDINGS OF THE 17TH INTERNATIONAL CONFERENCE ON COMPUTER-AIDED ARCHITECTURAL DESIGN RESEARCH IN ASIA (CAADRIA 2012): BEYOND CODES AND PIXELS, 2012, : 347 - 356