基于POD方法的水下航行器振动响应快速求解  

Fast Solution of Underwater Vehicle Vibration Response Based on POD Method

作　　者：王衡 路宽 刘骏 童建忠 郑伟[2] 张康宇 WANG Heng;LU Kuan;LIU Jun;TONG Jianzhong;ZHENG Wei;ZHANG Kangyu(School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi’an 710072,China;Shenyang Institute of Aircraft Design,Shenyang 110035,China)

机构地区：[1]西北工业大学力学与土木建筑学院,西安710072 [2]沈阳飞机设计研究所,沈阳110035

出　　处：《南京航空航天大学学报》2024年第6期1066-1073,共8页Journal of Nanjing University of Aeronautics & Astronautics

摘　　要：采用本征正交分解(Proper orthogonal decomposition,POD)方法对具有轴承非线性的壳体‑电机‑转子耦合系统进行模型降阶,以降低计算成本。针对壳体‑电机‑转子耦合结构采用有限元法建立起192自由度的转子系统模型。介绍了POD法的基本原理及其在壳体‑电机‑转子耦合系统中的具体表达。通过应用POD方法,壳体‑电机‑转子耦合系统分别减少到20、18和15个自由度,计算时间降低94%以上,且对比了简化系统和原系统的时间历程曲线和频谱,证明了POD方法的高效性和准确性。The proper orthogonal decomposition(POD)method is used to model the shell-motor-rotor coupled system with bearing nonlinearities to reduce the computational cost.The rotor system with 192 degrees of freedom is modeled by the finite element method for the coupled shell-motor-rotor structure.The basic principle of the POD method and its specific expression in the shell-motor-rotor coupled system are introduced.By using the POD method,the shell-motor-rotor coupled system is reduced to 20,18 and 15 degrees of freedom,and the computation time is reduced by more than 94%.The time course curves and spectra of the simplified system and the original system are compared,which verifies the efficiency and accuracy of the POD method.

关 键 词：水下航行器 非线性系统 本征正交分解方法 

分 类 号：O328[理学—一般力学与力学基础]