Shape-Size Optimization of Plane Trusses with Designer’s Preference
Shape-Size Optimization of Plane Trusses with Designer’s Preference
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根据设计者的偏好进行平面桁架的形状尺寸优化
DOI：
10.1061/(asce)0733-9445(1998)124:11(1323
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
Y. Isshiki
中科院分区：
文献类型：
--
作者：
M. Ohsaki;Tsuneyoshi Nakamura;Y. Isshiki
本文介绍了一种利用参数化曲线技术进行平面桁架形状和构件尺寸优化的新方法。用贝塞尔曲线描述节点坐标和横截面积，使人们能够找到一个光滑的最优桁架。在静荷载和地震激励等多种设计荷载作用下的响应应变均在规定范围内的约束条件下，求出最优桁架。要最小化的目标函数是结构总质量和形状与设计者所偏爱的形状的偏差的加权和。后者是根据控制点的坐标明确地写出来的。基于Bezier曲线的凸壳特性，可以很容易地将侧约束合并。通过算例，找出了单荷载和多荷载条件下的最优桁架，并讨论了最优桁架在权重系数下的特性。
This paper describes a new method for shape and member-size optimization of a plane truss by using techniques of parametric curves. Description of nodal coordinates as well as cross-sectional areas in terms of Bezier curves enables one to find a smooth optimal truss. The optimal truss is found under the constraints such that all the response strains to multiple design loads including static loads and earthquake excitation are within a prescribed range. The objective function to be minimized is a weighted sum of the total structural mass and the deviation of the shape from the one preferred by the designer. The latter is written explicitly in terms of the coordinates of the control points. Side constraints are easily incorporated based on the convex hull property of the Bezier curve. In the examples, optimal trusses are found under single and multiple loading conditions and the characteristics of the optimal trusses in reference to the weight coefficients are discussed.