建筑结构学报2024，Vol.45Issue(10)：158-169,12.DOI:10.14006/j.jzjgxb.2023.0582
基于模拟植物生长算法的B样条蒙皮自由曲面薄壳结构形态优化方法研究
Shape optimization method of B-spline skin free-form thin-shell structures based on plant growth simulation algorithm
摘要
Abstract
In order to find a structural form that not only satisfies the architectural aesthetics but also has good mechanical performance,according to the basic principle of plant growth simulation algorithm(PGSA),a variable-step parallel search mechanism is proposed on the basis of GSL&PS-PGSA,which generates a new simulated plant growth algorithm(GSL&VPS-PGSA).The proposed algorithm is to be introduced into the field of shape optimization of free-form thin-shell structures.This shape optimization method is based on the B-spline skinning method.Firstly,the curves are reconstructed through several type value points.Then,the number of type value points,orders,and knot vectors are adjusted to obtain a series of sectional control curves with similar properties,which are fitted into surfaces by skinning method.On this basis,taking the type value point coordinates of B-spline curve as the design variables,and taking the overall strain energy as the optimization goal,the GSL&VPS-PGSA is used to obtain a free-form thin-shell structure with coordinated shape and mechanical performance.The analysis results of a square arch shell and a complex curved structure show the B-spline skin method can create the free-form surfaces with arbitrary shapes and smoothness through parametric modeling,and its shape control parameters such as control points and orders provide the conditions for further shape optimization.The variable step size parallel search mechanism in GSL&VPS-PGSA can concisely control the solution accuracy and greatly improve the algorithm efficiency.Compared with genetic algorithm and inverse lifting method,the optimization effect of GSL&VPS-PGSA is more advantageous.The proposed shape optimization method can obtain a reasonable structural surface that mainly bears membrane stress,which is suitable for the shape optimization problems of large-scale free-form thin-shell structures with multiple variables,complex constraints and fine mesh division.关键词
自由曲面薄壳结构/B样条蒙皮曲面/模拟植物生长算法/形态优化Key words
free-form thin-shell structure/B-spline skinning surface/plant growth simulation algorithm/shape optimization分类
建筑与水利引用本文复制引用
石开荣,吉古雪梅,姜正荣..基于模拟植物生长算法的B样条蒙皮自由曲面薄壳结构形态优化方法研究[J].建筑结构学报,2024,45(10):158-169,12.基金项目
亚热带建筑与城市科学全国重点实验室(2019ZB27),广东省现代土木工程技术重点实验室课题(2021B1212040003). （2019ZB27）
