疯狂自适应的正余弦乌燕鸥算法及应用  

A Novel Hybrid Sine-Cosine and Sooty Tern Optimization Algorithm Based on Chaotic Crazy Adaptation and its Engineering Application

作　　者：苏开拓[1] SU Kai-tuo(School of Engineering Management and Logistics Shaanxi Railway Institute,Shaanxi Weinan 714000,China)

机构地区：[1]陕西铁路工程职业技术学院工程管理与物流学院,陕西渭南714000

出　　处：《机械设计与制造》2024年第7期65-71,共7页Machinery Design & Manufacture

基　　金：全国职业教育科学研究规划课题(2020QZJ274)。

摘　　要：桥式起重机主梁优化是一个非线性的复杂约束优化问题,现有方法求解此问题时存在收敛缓慢、稳定性差、收敛精度低等问题。为克服此问题,提出一种疯狂自适应的正余弦乌燕鸥混合优化算法(CCASSTOA)。在乌燕鸥算法(STOA)中,引入Logistics混沌映射对STOA算法种群初始化,增加种群个体的多样性和迭代初期收敛速度;将惯性自适应权重和正余弦算法混合搜索策略引入到乌燕鸥位置更新公式中,增强了算法的全局搜索与局部搜索之间的平衡能力。将疯狂算子引入到乌燕鸥最优位置进行扰动,增强迭代后期种群的多样性,避免算法陷入局部最优。采用6个测试函数对CCASSTOA算法性能进行验证,结果表明:CCASSTOA算法优于其他五种元启发式优化算法,收敛精度高,稳定性好和鲁棒性强。将CCASSTOA算法应用在32t/22.5m的桥式起重机主梁轻量化设计中,可实现主梁截面面积减小约为31.45%。因此,CCASSTOA算法可有效地处理此类非线性的约束优化问题。Main girder optimization of bridge crane is a nonlinear complex constrained optimization problem.The existing methods have some problems,such as slow convergence,poor stability and low convergence precision.In order to overcome this problem,a novel hybrid sine cosine and sooty tern optimization algorithm based on chaotic crazy adaptation(CCASSTOA)is proposed.Initially,Logistics chaos map was introduced to initialize the population of STOA algorithm to increase the diversity of population individuals and the convergence rate in the initial iteration period.And then a hybrid search strategy of inertia adaptive weight and sine cosine algorithm(SCA)is introduced into the location update formula of sooty tern,which enhanced the balance ability between global search and local search.The optimal position of sooty tern is mutated by the crazy operator to enhance the diversity of the population in the later iteration period and avoid falling into the local optimum.Six test functions are used to verify the performance of the CCASSTOA algorithm.The results show that the CCASSTOA algorithm is superior to the other five meta-heuristic optimization algorithms with high convergence precision,good stability and strong robustness.By applying CCASSTOA algorithm to the lightweight design of main girder of 32t/22.5m bridge crane,the cross-section area of main girder can be reduced by about 31.45%.Therefore,the CCASSTOA algorithm can effectively deal with such nonlinear constrained optimization problems.

关 键 词：乌燕鸥算法 Logistics混沌映射 惯性自适应权重 正余弦算法 疯狂算子 桥式起重机主梁 

分 类 号：TH16[机械工程—机械制造及自动化] TB112[理学—数学]