陀螺转子动力学系统的时间有限元内点法  

Interval combination method of time domain finite element analysis for gyroscopic systems

作　　者：隋永枫[1,2,3,4] 潘慧斌 隋艺 钟万勰 SUI Yongfeng;PAN Huibin;SUI Yi;ZHONG Wanxie(Central Research Institute,Hangzhou Steam Turbine&Power Group Co.,Ltd.,Hangzhou 310022,China;State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116023,China;Zhejiang Gas Turbine Innovation Center,Hangzhou 310022,China;Zhejiang Rancon Turbine Machinery Co.,Ltd.,Hangzhou 311199,China)

机构地区：[1]杭州汽轮动力集团有限公司中央研究院,杭州310022 [2]大连理工大学,工业装备结构分析国家重点实验室,辽宁大连116023 [3]浙江省燃气涡轮机械制造业创新中心,杭州310022 [4]浙江燃创透平机械股份有限公司,杭州311199

出　　处：《振动与冲击》2020年第14期75-79,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金浙江两化融合联合基金(U1809219);浙江省重点研发计划(2020C01088);杭州市重大科技创新专项(20172011A02)。

摘　　要：将保辛的时间有限元法(FEM)应用于陀螺转子动力学系统,给出了陀螺转子动力学系统时间有限元法的时间单元刚度阵列式和非齐次外力的表达式,以及辛时间传递矩阵。在此基础上,提出了精度更高的时间有限元内点法(IDTFEA),该方法既继承了时间有限元保辛的优良特性,又大大提高了数值计算精度,具有非常明显的优越性。算例给出了该方法和Newmark方法的比较结果,表明该方法的优越性。Based on the variational principle, a time domain finite element method(FEM) for gyroscopic systems was presented and applied to gyroscopic rotor dynamics. The corresponding trial function matrix, element stiffness matrix and inhomogeneous force were given. The interval combination method of time domain finite element analysis, being of higher efficiency, was subsequently proposed. The method not only inherits the property of symplectic conservation but also enhances computational accuracy. By examples, the numerical results obtained from different methods, such as the time domain FEM and Newmark method were compared, which demonstrates the advantages of the time domain FEM.

关 键 词：时间有限元法(FEM) 辛 陀螺系统 转子动力学 

分 类 号：O347[理学—固体力学]