Configuration Optimization of Clamping Members of Frame-Supported Membrane Structures

Configuration Optimization of Clamping Members of Frame-Supported Membrane Structures
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框支膜结构夹紧件的配置优化

DOI:
10.1016/j.engstruct.2011.07.026
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发表时间:
2011
影响因子:
5.5
通讯作者:
Fumiyoshi Takeda
Fumiyoshi Takeda
中科院分区:
工程技术2区
文献类型:
--
作者:
T. Nakajima;M. Ohsaki;J. Fujiwara;Fumiyoshi Takeda

文献摘要

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提出了一种框架结构优化的方法,该框架具有特定的节点位移、应力和静载荷反作用力属性。传统的地面结构方法首先用于拓扑优化。通过人为地指定较小的上限位移,或通过惩罚薄构件的刚度,可以获得少数构件满足除应力约束之外的所有设计要求的可行解决方案。这样,成功地避免了众所周知的应力约束下拓扑优化的困难。接下来优化可行解的节点位置和横截面积,以获得应力约束下的近似最优配置。所提出的方法应用于使用框架单元建模的膜结构的自紧固夹紧构件的设计。还提出了通过用垂直连接的螺栓施加夹紧力来调节膜变形的夹紧构件的优化结果。
A method is presented for configuration optimization of frames that have specified properties on nodal displacements, stresses, and reaction forces against static loads. The conventional ground structure approach is first used for topology optimization. A feasible solution with a small number of members satisfying all the design requirements except the stress constraints is obtained by assigning artificially small upper-bound displacement, or by penalizing the stiffness of a thin member. This way, the well-known difficulty in topology optimization under stress constraints is successfully avoided. The nodal locations and cross-sectional areas of the feasible solution are next optimized to obtain an approximate optimal configuration under stress constraints. The proposed method is applied to the design of self-fastening clamping members for membrane structures modeled using frame elements. An optimization result is also presented for a clamping member that adjusts deformation of membrane by applying a clamping force with a vertically attached bolt.