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首页> 外文期刊>Mathematical Problems in Engineering >Shape Optimization and Stability Analysis for Kiewitt Spherical Reticulated Shell of Triangular Pyramid System
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Shape Optimization and Stability Analysis for Kiewitt Spherical Reticulated Shell of Triangular Pyramid System

机译：三角金字塔系统Kiewitt球形网状壳体形状优化及稳定性分析

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摘要

The Kiewitt spherical reticulated shell of triangular pyramid system is taken as the object of this study; a macroprogram of parametric modeling is developed by using the ANSYS Parametric Design Language. The minimum structural total weight is taken as the objective function, and a shape optimization program is proposed and compiled by adopting the sequence two-stage algorithm in FORTRAN environment. Then, the eigenvalue buckling analysis for Kiewitt spherical reticulated shell of triangular pyramid system is carried out with the span of 90m and rise-span ratio of 1/7 similar to 1/3. On this basis, the whole nonlinear buckling process of the structure is researched by considering initial geometrical imperfection. The load-displacement curves are drawn, and the nonlinear behaviors of special nodes are analyzed. The structural nonlinear behaviors affected by rise-span ratio are discussed. Finally, the stability of reticulated shell before and after optimization is compared. The research results show that (1) users can easily get the required models only by inputting five parameters, i.e., the shell span (S), rise (F), latitudinal portions (Kn), radial loops (Nx), and thickness (T). (2) Under the conditions of different span and rise-span ratio, the optimal grid number and bar section for the Kiewitt spherical reticulated shell of triangular pyramid system existed after optimization; i.e., the structural total weight is the lightest. (3) The whole rigidity and stability of the Kiewitt spherical reticulated shell of triangular pyramid system are very nice, and the reticulated shell after optimization can still meet the stability requirement. (4) When conducting the reticulated shell design, the structural stability and carrying capacity can be improved by increasing the rise-span ratio or the rise. (5) From the perspective of stability, the rise-span ratio of the Kiewitt spherical reticulated shell of triangular pyramid system should not choose 1/7.
机译：Kiepitt球形系统的三角形金字塔系统的壳体作为本研究的目的;使用ANSYS参数设计语言开发了参数建模的大宏图。最小结构总重量被视为目标函数，并通过采用Fortran环境中的序列两阶段算法提出和编译形状优化程序。然后，进行三角形金字塔系统的Kiewitt球形网状壳的特征值屈曲分析，其跨度为90米，升高率为1/7的跨度比率为1/3。在此基础上，通过考虑初始几何缺陷来研究结构的整个非线性屈曲过程。绘制了负载 - 位移曲线，分析了特殊节点的非线性行为。讨论了受跨度率影响的结构非线性行为。最后，比较了优化前后网状壳的稳定性。研究结果表明，（1）用户可以通过输入五个参数，即壳跨度，上升（F），延伸部分（kn），径向环（NX）和厚度（ t）。 （2）在不同跨度和上升比率的条件下，优化后，存在三角金字塔系统的Kiewitt球形网状壳的最佳网格号和条形部分;即，结构总重量是最轻的。 （3）三角金字塔系统的Kiewitt球形网状壳的整体刚性和稳定性非常好，并且优化后的网状壳仍然满足稳定性要求。 （4）在进行网状壳设计时，通过增加上升跨度或升高，可以提高结构稳定性和承载能力。 （5）从稳定性的角度来看，三角金字塔系统的Kiewitt球形网状壳的上升率不应选择1/7。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第16期|2723082.1-2723082.11|共11页
  • 作者

    Zhang Le-Wen; Wu Jing; Zhang Da-Liang;

  • 作者单位

    Shandong Univ Inst Marine Sci & Technol Qingdao 266237 Shandong Peoples R China;

    Shandong Univ Inst Marine Sci & Technol Qingdao 266237 Shandong Peoples R China;

    Shandong Agr & Engn Univ Jinan 250100 Shandong Peoples R China;

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