【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。更多还原

【Abstract】 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.更多还原