基于改进信赖域的混合模拟模型更新方法

A HYBRID SIMULATION MODEL UPDATING METHOD BASED ON IMPROVED TRUST REGION

  • 摘要: 针对混合模拟模型更新在多参数模型寻优时存在计算量大、收敛慢的问题,引入信赖域算法与分类分阶段敏感性分析、均匀设计相结合,提出了一种改进信赖域混合模拟模型更新方法。该方法以核心参数为输入变量、验算子结构与试验子结构的恢复力相对累计误差为目标函数建立信赖空间,使用信赖域算法进行寻优中心确定和信赖域半径计算,采用均匀设计生成样本空间完成最优参数组搜索。以钢框架为例,设定四种方案、十种随机工况进行数值模拟验证。模拟结果表明:改进信赖域混合模拟模型更新方法误差降低并控制在1.5%以内,具有较高的精度;识别运算量减小,计算时长节省一半以上,且收敛步数大幅减少,验证了所提方法提高混合模拟模型更新的识别精度和速度的可行性与有效性。

     

    Abstract: An improved trust region hybrid simulation model updating method is proposed to address the high computational cost and slow convergence in multi-parameter model optimization. This method integrates the trust region algorithm with classification stage sensitivity analysis and uniform design. The trust region is established with the core parameters as input variables, while the relative cumulative restoring force error between the checking and experimental substructures serves as the objective function. The trust region algorithm is employed to determine the optimization center and to calculate the trust region radius. The uniform design is applied to generate the sample space and to perform the search of the current optimal parameter set. Taking the steel frame as an example, four scenarios are set up and ten random conditions are generated for numerical verification. Simulation results indicate that the improved trust region hybrid simulation model updating method reduces errors and keeps them within 1.5%, demonstrating high accuracy. The computational effort for identification is reduced, with calculation time cut by more than a half and a significant reduction in the number of convergence steps. The feasibility and effectiveness of the method proposed in improving the recognition accuracy and speed of hybrid simulation model updating are verified.

     

/

返回文章
返回