耗能增效惯容系统的自适应权重粒子群优化  

Adaptively weighted particle swarm optimization for damping enhanced inerter system

作　　者：潘超 韩笑 张瑞甫[2,3] 张雪 逯静洲[1] PAN Chao;HAN Xiao;ZHANG Rui-fu;ZHANG Xue;LU Jing-zhou(College of Civil Engineering,Yantai University,Yantai 264005,China;State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;Department of Disaster Mitigation for Structures,Tongji University,Shanghai 200092,China)

机构地区：[1]烟台大学土木工程学院,山东烟台264005 [2]同济大学土木工程防灾国家重点实验室,上海200092 [3]同济大学结构防灾减灾工程系,上海200092

出　　处：《振动工程学报》2022年第5期1233-1241,共9页Journal of Vibration Engineering

基　　金：山东省自然科学基金资助项目(ZR2018BEE03);国家自然科学基金资助项目(51978525,51978596);烟台大学研究生创新基金(YDYB2101);石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室开放课题(KF2020-13)。

摘　　要：耗能增效是惯容减震系统的典型特征。为充分发挥此特性并同时满足减震性能需求,提出将惯容减震结构耗能增效程度最大化作为目标,并以性能需求作为约束条件进行减震参数寻优。基于随机振动理论推导惯容减震单自由度结构在白噪声激励下的解析解;建立最大耗能增效设计所对应等效约束优化问题的数学表达式。鉴于表达式的复杂性,采用鲁棒性好且便于实现的粒子群算法对问题进行求解。在粒子群算法中引入自适应惩罚权重考虑约束条件,并采用自适应调整的惯性权重提高求解效率。基于Python语言编制了自适应权重粒子群算法程序对惯容减震结构最大耗能增效设计问题进行求解。设计实例的求解过程体现了自适应权重粒子群算法对求解惯容减震结构优化设计问题的有效性,动力时程分析结果表明设计参数实现了预设的减震性能需求。Damping enhancement is the typical characteristic of the inerter system for seismic response mitigation.To give full play to this characteristic and meet the demand of seismic performance at the same time,it is proposed to maximize the degree of damp‐ing enhancement of the inerter system with the performance demand as the constraint condition during the decision of key parame‐ters.The closed-form solution of a single-degree-of-freedom structure with an inerter system under the excitation of white noise is derived based on the theory of random vibration.The mathematical expression of the equivalent constrained optimization problem for damping enhancement maximization is established.Given the complexity of the expression,the particle swarm algorithm,a ro‐bust and simple meta-heuristics method for numerical optimization,is used to solve the problem.The adaptively changed penalty weight is introduced into the particle swarm algorithm to consider the constraints,and the adaptively adjusted inertia weight is used to improve the efficiency for the search of the optimal solution.A computer program of the adaptively weighted particle swarm algo‐rithm is developed to solve the design problem of the inerter system for damping enhancement maximization.The design examples reflect the effectiveness of the adaptively weighted particle swarm algorithm in solving the optimization problem of the structure with inerter system.And the dynamic time-history analyses show that the structural damping performance demands are realized with the designed parameters.

关 键 词：惯容系统 耗能增效 性能需求 约束优化 粒子群算法 自适应权重 

分 类 号：TU318[建筑科学—结构工程]