摘要
本文将动态有限元法推广应用于轴对称圆板在旋转状态的振动特性分析,推导出环板元的动态形函数,解决了含贝塞尔函数的疑难积分问题,并建立了单元质量和刚度矩阵以及附加刚度矩阵和一次修正矩阵。文中以算例考核,结果与精确值比较符合。最后作为具体应用实例,分析了圆盘的固有频率随转速的变化情况。
As an improvement of the conventional finite element method, the finite dynamic element method is developed and applied to the vibration analysis of axisymmetric circular disks under rotation in the paper.While the dynamic shape functions are acquired and some integration difficulties related to Bessel's functions are solved, the additional stiffness matrix and the revised matrix as well as the mass and stiffness matrices of the annular element are established. The variation of natural frequencies with the rotating speed of a circular disk is studied. A calculation example is taken, and its results are tally with the theoretical values.
关键词
旋转圆盘
振
动态有限元
vibration analysis, finite element method, special functions, rotating circular disks, dynamic finite element.
