摘要
研究了某大型水轮发电机转子轴系弯曲振动．用有限元法和传递矩阵法分别计算了轴系的固有频率和振型，两种方法求得的系统第一阶固有频率为３．５６Ｈｚ和３．７２Ｈｚ；计算了轴系受周期径向电磁力引起的线性强迫响应，并求得径向电磁力随负载变化的结果；应用机电耦联系统能量法求得系统由电磁力激发的组合强迫共振响应，并对其进行了幅频特性分析和稳定性分析；应用奇异性理论对分岔方程进行分析，给出普适开折平面和物理参数平面上的分岔图．所得到的定常解稳定区域与用霍尔维茨判据求得的结果一致．振幅、频率响应的计算结果与现场实测结果相吻合．
The bending vibration of the rotor system of a large hydraulic turbine was studied.First calculated the first order natural frequency and first order mode by the Finite Element method and Transfer Matrix method.The results of the first order natural frequency are 3.56 Hz and 3.72 Hz respectively.Second,calculated the linear force response caused by the periodic disequilibrium electromagnetic force and obtained the results of the change of the disequilibrium electromagnetic force under various operating loads.Third,apllied the Enersy Method of the mechano electronic coupling system to calculate the composite forced resonance response and carried out the Amplitude Frequency analysis and Stability analysis,applying the Singularity Theory analysed bifurcation equation and obtained the bifurcation map in the physical parameter plane and in universal unfolding plane,the steady region of steady solution obtained by the singularity theory corresponded to which obtained by HURWITSs criterion.At last,compared the results of theoretical calculation with the results of the on the spot measurement and found the two results are basically identical.
出处
《天津大学学报》
EI
CAS
CSCD
1999年第3期280-284,共5页
Journal of Tianjin University(Science and Technology)
基金
国家自然科学基金
机械工业技术发展重大基金
关键词
弯曲振动
水轮发电机
转子
轴系
mechano electronic coupling system enegry method singularity radial electro magnetic force bifurcation
