| 旋转圆盘振动的动态有限元法 |
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| 引用本文： | 张益松,高德平,伊立言.旋转圆盘振动的动态有限元法[J].南京航空航天大学学报,1989(2). |
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| 作者姓名： | 张益松 高德平 伊立言 |
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| 作者单位： | 南京航空学院动力工程系
(张益松，高德平)，南京航空学院动力工程系(伊立言) |
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| 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。
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| 关 键 词： | 振动分析 有限元法 特殊函数 旋转圆盘 动态有限元 |
The Finite Dynamic Element Method for Vibration Analysis of Rotating Circular Disks |
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| Zhang Yisong Gao Deping Yi Liyan.The Finite Dynamic Element Method for Vibration Analysis of Rotating Circular Disks[J].Journal of Nanjing University of Aeronautics & Astronautics,1989(2). |
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| Authors: | Zhang Yisong Gao Deping Yi Liyan |
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| Institution: | Department of Power Engineering |
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| Abstract: | 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. |
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| Keywords: | vibration analysis finite element method special functions rotating circular disks dynamic finite element |
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