陀螺转子动力学系统的时间有限元内点法

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (14) : 75-79.

论文

陀螺转子动力学系统的时间有限元内点法

隋永枫1,2,3,4，潘慧斌1,3,4，隋艺3,4，钟万勰2

作者信息 +

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

SUI Yongfeng1,2,3,4，PAN Huibin1,3,4，SUI Yi3,4，ZHONG Wanxie2

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文章历史 +

摘要

将保辛的时间有限元方法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方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。算例给出了该论文方法和Newmark方法的比较结果，表明了该论文方法的优越性。

Abstract

Based on the variational principle, time domain finite element method of gyroscopic systems is presented and applied to gyroscopic rotor dynamics. The corresponding trial function matrix, element stiffness matrix and inhomogeneous force are given. The interval combination method of time domain FEM is subsequently proposed which has higher efficiency. This method inherits the property of symplectic conservation and enhances computational accuracy. The examples comparing the numerical results obtained from different methods: time domain FEM and Newmark method demonstrate the advantages of time domain FEM.

导出引用

隋永枫1,2,3,4，潘慧斌1,3,4，隋艺3,4，钟万勰2. 陀螺转子动力学系统的时间有限元内点法[J]. 振动与冲击, 2020, 39(14): 75-79

SUI Yongfeng1,2,3,4，PAN Huibin1,3,4，SUI Yi3,4，ZHONG Wanxie2. Interval combination method of time domain finite element analysis for gyroscopic systems[J]. Journal of Vibration and Shock, 2020, 39(14): 75-79

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