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
  • [1] Form-finding optimization methods for free-form reticulated shells: Reverse realization and numerical simulation
    Li, Na
    Lu, Jinyu
    Zong, Wei
    Fan, Yihe
    ADVANCES IN MECHANICAL ENGINEERING, 2017, 9 (11):
  • [2] Non-parametric shape design method of free-form shells using membrane stresses projected onto horizontal plane
    Sakai Y.
    Ohsaki M.
    AIJ Journal of Technology and Design, 2021, 27 (66) : 1098 - 1103
  • [3] Non-parametric design of free-form shells with curved boundaries and specified reaction forces
    Takeoka, Riree
    Ohsaki, Makoto
    Sakai, Yusuke
    ENGINEERING STRUCTURES, 2022, 255
  • [4] FREE-FORM CURVES AND FREE-FORM SURFACES
    HOSCHEK, J
    COMPUTER AIDED GEOMETRIC DESIGN, 1993, 10 (3-4) : 173 - 173
  • [5] FORM EVALUATION OF FREE-FORM SHELLS BY USING BENDING STRAIN ENERGY RATIO
    Utebi, Hayato
    Yamamoto, Kenji
    JOURNAL OF THE INTERNATIONAL ASSOCIATION FOR SHELL AND SPATIAL STRUCTURES, 2016, 57 (04): : 267 - 274
  • [6] Nontraditional substructuring procedure for analysis of free-form shells
    Totoev, YZ
    INTERNATIONAL APPLIED MECHANICS, 2003, 39 (05) : 621 - 630
  • [7] Stochastic Natural Vibration Analyses of Free-Form Shells
    San, Bingbing
    Ma, Yunlong
    Xiao, Zhi
    Feng, Dongming
    Yin, Liwei
    APPLIED SCIENCES-BASEL, 2019, 9 (15):
  • [8] Nontraditional Substructuring Procedure for Analysis of Free-Form Shells
    Y. Z. Totoev
    International Applied Mechanics, 2003, 39 : 621 - 630
  • [9] Integrating architectural and structural form-finding processes for free-form digital architectures
    Kocaturk, T
    van Weeren, C
    Kamerling, MW
    SYSTEM-BASED VISION FOR STRATEGIC AND CREATIVE DESIGN, VOLS 1-3, 2003, : 557 - 562
  • [10] The integration of free-form design and manufacturing using free-form features
    Prijic, A
    ENGINEERING DESIGN CONFERENCE '98: DESIGN REUSE, 1998, : 577 - 584