基于响应面法的炉前作业机器人俯仰支撑结构参数优化设计

Parametric optimization design of the pitch support for the furnace-front operation robot based on response surface methodology

  • 摘要: 针对炉前作业机器人俯仰支撑质量偏大、运动响应受限的问题,开展极端工况下的结构参数化轻量化设计研究。基于整机典型作业姿态的静力学分析,提取俯仰支撑连接位置处的等效载荷,建立回转驱动工况与极限冲击工况下的局部有限元模型。结合构件结构特征与工程可调性,选取主体板厚、加强筋宽度、腹板定位距离、腹板厚度及侧板前后缘削边角等关键几何参数作为设计变量,以结构总质量最小为目标、以两工况下最大总变形为约束,构建俯仰支撑轻量化优化模型。在此基础上,采用拉丁超立方抽样生成设计样本,建立质量与变形响应的二阶响应面代理模型,并结合遗传算法进行全局寻优。对优化结果进行工程圆整和有限元复核后发现,优化方案俯仰支撑质量由513.7 kg降至441.7 kg,减重14.0%;A1和A2工况下最大总变形分别为0.35 mm和0.97 mm,均满足设计要求;最大等效应力低于Q355B钢屈服强度,结构仍具有足够的强度安全裕度。研究表明,基于响应面法的参数化优化流程能够在保证结构承载性能的前提下实现俯仰支撑有效减重,可为重载工业机器人关键承载构件的轻量化设计提供参考。

     

    Abstract: To reduce the mass of the pitch support of the furnace-front operation robot while maintaining its structural performance under extreme working conditions, a parametric lightweight design study was carried out. Equivalent loads at the connection positions of the pitch support were obtained from the static analysis of typical operating postures of the whole robot, and local finite element models were established for a rotary driving condition and an extreme impact condition. According to the structural characteristics of the component, the main plate thickness, stiffener width, web position distance, web thickness, and chamfer angles of the front and rear edges were selected as design variables. The mass of the structure was taken as the objective function, and the maximum total deformations under the two load cases were taken as constraints. Latin hypercube sampling was used to generate sample points, and a second-order response surface model was constructed for the mass and deformation responses. A genetic algorithm was then employed to search for the optimal solution. After engineering rounding and finite element verification, the mass of the optimized pitch support decreased from 513.7 kg to 441.7 kg, corresponding to a reduction of 14.0%. The maximum total deformations under load cases A1 and A2 were 0.35 mm and 0.97 mm, respectively, both within the allowable range. The maximum equivalent stress remained below the yield strength of Q355B steel. The results indicate that the present parametric optimization procedure is effective for the lightweight design of the pitch support and can provide a useful reference for the design of load-carrying components in heavy-duty industrial robots.

     

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