中文摘要：

针对龙门起重机金属结构动态特性的复杂性和非线性,综合考虑龙门起重机金属结构设计中尺寸参数及起升载荷的不确定性,利用参数化有限元模型和试验设计方法,在龙门起重机金属结构动态系统中,建立了设计变量和动态参数间的关系。通过运用非支配排序遗传算法（NSGA-Ⅱ）,寻求桁架梁尺寸及节间布置最优化方案,并满足低应力、高固有频率及轻量化的要求,在构建高精度的响应面近似模型的基础上,运用Monte-Carlo模拟技术对优化方案的鲁棒性进行了评价。结果表明,该优化方法有效地实现了龙门起重机的动态结构优化,显著提高了其设计质量和效率。

英文摘要：

Focused on the complexity and highly nonlinearity of the structure dynamic characteristics in a gantry crane,considering the uncertainty of dimensional parameters and lifting loads in metal structure design of the gantry crane,aparametric finite element model and experimental design methods were used to establish the relations among the design variables and dynamic parameters of the gantry crane structure systems.The non-dominated sorting genetic algorithm（NSGA-Ⅱ）was used to find the layout optimization of the truss girder internode and their sizes,then the requirements of lowstress,high natural frequency and lightweight were met.On the basis of high-precision response surface approximation model,Monte-Carlo simulation technique was used to evaluate the robustness performance of the optimization program.The application results indicate that the dynamic structure optimization of the gantry crane may be effectively achieved,and the design quality and efficiency are evidently improved.