| Theory and Method of Mechanical Design |
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| Optimization design method for construction machinery structure based on adaptive Kriging surrogate model |
Xin LIU( ),Qingfeng WU,Wenguang YANG |
| College of Mechanical and Vehicle Engineering, Changsha University of Science and Technology, Changsha 410114, China |
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Abstract In view of the characteristics of high nonlinearity and high computational complexity in the optimization design of construction machinery, as well as the demand for high-fidelity and low-cost simulation models, an optimization design method for construction machinery structure based on an adaptive Kriging surrogate model was proposed. Firstly, the design variable sample space of the construction machinery structure was partitioned using the Voronoi diagram method. The global sparsity index (GSI) of the sample points was defined to identify subspaces requiring node-adding, and global points were generated within these subspaces using the max-min criterion. Next, local node-adding subspaces were identified based on the potential optimal parameters, and local points were generated accordingly. Finally, by integrating a local refinement strategy, the generated global points, local points and potential optimal solutions were filtered and incorporated into the sample set to update the surrogate model, thereby improving the fitting accuracy of the surrogate model. It was applied to the surrogate model construction phase in the construction machinery structure optimization design to significantly shorten the computational time for traditional high-fidelity model simulation and improve the efficiency of the optimization design. The numerical example verifications and engineering application results demonstrated that, compared with the existing methods, the proposed method achieved faster convergence within an acceptable error range under the same node-adding number. In the lightweight design of the upper structure of the arm-type bucket wheel reclaimer and the front boom structure of the tower crane, after only one iteration, the maximum relative errors of the optimal solution were reduced to 0.09% and 0.59% respectively. The proposed method is feasible and effective in the structural optimization design of construction machinery.
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Received: 09 April 2025
Published: 30 December 2025
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基于自适应Kriging代理模型的工程机械结构优化设计方法
针对工程机械优化设计问题呈现高非线性、高计算复杂度等特征及对高保真度、低成本仿真模型的需求,提出了一种基于自适应Kriging代理模型的工程机械结构优化设计方法。首先,采用泰森多边形(Voronoi diagram)方法划分工程机械结构设计变量样本空间,根据定义的样本点全局稀疏度指标(global sparsity index, GSI)找出需要加点的子空间,并根据最大最小准则在该子空间内生成全局点;其次,根据潜在最优参数定位局部加点子空间,在该子空间内产生局部点;最后,结合局部加密技术,将所得到的全局点、局部点和潜在最优解进行筛选后加入样本集以更新代理模型,从而提高代理模型的拟合精度,并将其运用于工程机械结构优化设计时代理模型的构建阶段,以大幅缩短传统高保真模型仿真时的计算时长,提升优化设计效率。数值算例验证和工程应用结果表明:与现有方法相比,在相同的加点数量下,采用所提出的方法能够使优化解更快地收敛至容许误差范围内;在臂式斗轮机上部结构和塔式起重机前臂架结构的轻量化设计中,经过1次迭代,最优解的最大相对误差分别降至0.09%和0.59%。该方法在工程机械结构优化设计中具有可行性和有效性。
关键词:
自适应代理模型,
工程机械结构,
优化设计,
泰森多边形,
遗传算法
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