摘要
根据裂纹转子系统的结构特点和运动特征，由Ｌａｇｒａｎｇｅ方程建立起裂纹转子各典型单元的运动微分方程，得到转子系统的总质量矩阵、总刚度矩阵和总阻尼矩阵；并编制了大型的的振动响应计算和动力分析程序；通过实验验证了该计算和分析方法的正确性。本文方法为工程实际应用提供了一新的途径。
Failures of flexible rotor shafts of aero-engines have been reported. Model tests for crack-containing flexible rotor shaft were reported[1,2] and they revealed that, the deeper the crack and the nearer its distance from the midpoint of the shaft, the more likely occurs a fsilure of such shaft. Published methods of calculation[1,2], in my opinion, show disagreement with model test data. I deem that the method of calculation I now present shows good agreement with model tests performed by me and others at a Chinese aeronautical research institute.The distinguishing feature of my method is that stiffness matrix [Kec] of element of crack-containing shaft should be computed with eq. (9), then the differential equation of motion of such element becomes eq. (10) and the vibration response of the entire shaft can be computed with eqs.(11) through (16).A numerical example of a disk placed at the mid -point of a simply supported crack containing shaft is given. The depths of cracks are selected to be 0. 2D, 0. 3D,and 0. 4D,where D is diameter of shaft. The locations of cracks are selected to be 0. 3L, 0. 4L,and 0. 5Lfrom one end, where L is the distance between the simple supports. Calculated orbits of shaft center at mid -point of simply-supported shaft are shown in Fig. 4. They do show that the deeper the crack and the nearer its distance from the mid -point of shaft, the more likely occurs failure of shaft.My calculated results are in quite good agreement with test data obtained by me and others at a Chinese aeronautical research institute, which are similar to previously published test data in general tendency. There are however differences. The most important difference is that in Fig. 4(e) (0. 4L, 0. 3D ), some irregularity of orbit of shaft center is already noticeable but in previously published test data, even for Figs. 4 (f) (0. 4L, 0. 4D ), and 4 (h)(0. 5L,0. 3D ), the seriousness of the situation is not yet quite noticeable.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
1996年第2期229-233,共5页
Journal of Northwestern Polytechnical University
基金
国家自然科学基金
关键词
裂纹
转子
振动响应
轴心轨迹
转子动力学
crack -containing shaft, vibration response, orbit of shaft center
