基于几何代数理论的转子堆叠装配多目标优化  

Multi-objective optimization of rotor-stack assembly based on geometric algebra theory

作　　者：涂建波 李震[1] 葛浩田 刘亮 刘洪慧 TU Jianbo;LI Zhen;GE Haotian;LIU Liang;LIU Honghui(College of Mechanical Engineering,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]大连理工大学机械工程学院,大连116024

出　　处：《航空学报》2021年第10期388-398,共11页Acta Aeronautica et Astronautica Sinica

基　　金：兴辽英才计划(XLYC1808016);中央高校基本科研业务费专项资金(DUT19LAB17)。

摘　　要：在航空发动机多级转子装配过程中,优化的转子堆叠装配方案对提高转子装配质量及安全运行有着重要的意义。为了提高转子安装相位优化效率和装配质量,基于几何代数理论并结合多目标优化方法提出了一种高效求解最优堆叠装配方案的方法。首先,对几何代数和齐次矩阵的计算效率进行对比验证,并基于几何代数理论改进多级转子堆叠装配误差传递模型;其次,针对航空发动机转子安装相位角度的装配要求,建立转子同心度和初始不平衡量的多目标优化模型;最后,采用非支配排序遗传算法求解该堆叠装配多目标优化问题,获得符合工艺要求的最优装配方案。算例结果表明,优化后的转子装配方案比随机装配方案同心度降低65.10%,初始不平衡量降低97.88%。In the assembly process of aero-engine multi-stage rotors,the optimized rotor stacking assembly plan is of particular significance in improving the rotor assembly quality and safe operation.To enhance the optimization efficiency of rotor installation phase and assembly quality,a method for efficient solution of the optimal stacking assembly scheme is proposed based on the geometric algebra theory combined with the multi-objective optimization method.The computational efficiency of the geometric algebra and homogeneous matrix is first compared and verified,and the multi-stage rotor stack assembly error propagation model improved based on the geometric algebra theory.Secondly,according to the assembly requirements of the aero-engine rotor installation phase angle,a multi-objective optimization model of rotor concentricity and initial unbalance is established.The non-dominated sorting genetic algorithm II is finally used to solve the multi-objective optimization problem of the stack assembly,obtaining the optimal assembly scheme that satisfies the process requirements.Results show that the concentricity of the rotor and the initial unbalance are reduced by 65.10% and 97.88%,respectively,compared with the random assembly scheme.

关 键 词：几何代数 转子堆叠 不平衡量 同心度 优化 装配 

分 类 号：V263.2[航空宇航科学与技术—航空宇航制造工程]