基于火箭简化模型的多状态模型修正研究  

Multi-state Model Updating based on Simplified Rocket Model

作　　者：杜家政[1] 王哲[1,2] 李星辰 DU Jiazheng;WANG Zhe;LI Xingchen(Beijing University of Technology,Beijing,100124;The 45th Research Institute of China Electronics Technology Group Corporation,Beijing,100176)

机构地区：[1]北京工业大学,北京100124 [2]中国电子科技集团公司第四十五研究所,北京100176

出　　处：《导弹与航天运载技术（中英文）》2024年第3期21-28,共8页Missiles and Space Vehicles

基　　金：国家自然科学基金资助项目(11872080)。

摘　　要：火箭发射过程中燃料的不断减少导致火箭结构不断变化,结构的固有频率和模态振型也会随之变化。针对有限元模型的不准确性,以截面惯性矩为修正参数,不同状态下数值仿真结果与试验测试结果的误差最小为目标函数,建立多状态模型修正的优化模型。通过灵敏度分析和一阶泰勒展开对目标函数进行显式化处理,并利用序列线性规划求解得到设计变量的最优解。同时对于多状态结构,以多截面简支梁模型为例,利用锤击法对简支梁进行试验,设计磁吸重物方案模拟多状态模型,以单截面简支梁试验的前4阶频率为目标函数建立优化模型,经过修正将多截面简支梁模型修正为单截面简支梁模型,并且符合截面惯性矩与面积的比例,验证了多状态模型修正方法的准确性。The continuous reduction of fuel during the rocket launch causes the rocket structure to change continuously,and the natural frequency and modal shape of the structure also change accordingly.Aiming at the inaccuracy of the finite element model,the moment of inertia of the section is used as the correction parameter,and the minimum error between the numerical simulation results and the experimental test results under different states is the objective function,and an optimization model for multi-state model correction is established.The objective function is explicitly processed by sensitivity analysis and first-order Taylor expansion,and the optimal solution of design variables is obtained by sequential linear programming.At the same time,for the multi-state structure,taking the multi-section simply supported beam model as an example,the simply supported beam is tested by the hammering method,and the magnetic attraction weight scheme is designed to simulate the multi-state model.An optimization model is established for the objective function,and the multi-section simply supported beam model is revised to a single-section simply supported beam model after modification,and the ratio of the moment of inertia of the section to the area is met,which verifies the accuracy of the multi-state model modification method.

关 键 词：多状态模型修正 截面惯性矩 优化设计 火箭简化模型 有限元分析 

分 类 号：O342[理学—固体力学] V19[理学—力学]