汽轮机裂纹转子升速过程非线性振动数字仿真及分析
发布时间：2018-11-22 19:28
【摘要】：基于应力强度因子为零法,建立了汽轮机转子升速过程中开裂纹转子和呼吸型裂纹转子的振动模型,并采用Runge-Kutta法对模型进行数值积分,实现升速过程中2种转子的稳态响应数字仿真及稳定性量化分析。结果表明:开裂纹转子和呼吸型裂纹转子在升速过程中均存在明显的1/3阶和1/2阶超谐共振;在超临界转速区,开裂纹转子和呼吸型裂纹转子均在转速比p=ω/ω0=2.10、2.20、2.55处出现了亚谐共振,该现象可作为判断转子裂纹故障是否存在的依据;在不同转速区,呼吸型裂纹转子与开裂纹转子的表现各不相同,尤其在超临界转速区,质量偏心e进一步抵消裂纹引起的非线性失稳,呼吸型裂纹转子出现局部渐进稳定区域,特别是在0.8e1.6时,质量偏心会进一步抑制非线性失稳运动,这一现象可为裂纹转子非线性运动失稳控制提供理论依据。
[Abstract]:Based on the zero stress intensity factor (SIF) method, the vibration models of cracked rotor and respiratory cracked rotor are established, and the numerical integration of the model is carried out by using Runge-Kutta method. The steady state response digital simulation and stability quantification analysis of two kinds of rotors are realized in the process of raising speed. The results show that there are obvious 1 / 3 order and 1 / 2 order super harmonic resonance in the speed raising process of the open crack rotor and the respiratory crack rotor. In the supercritical speed region, both cracked rotor and respiratory cracked rotor appear subharmonic resonance at the speed ratio of p = 蠅 / 蠅 _ 0 / 2.10 ~ 2.20 ~ 2.55. This phenomenon can be used as a basis for judging the existence of crack fault of rotor. In different speed regions, the behavior of respiratory cracked rotor is different from that of open crack rotor, especially in supercritical speed region, mass eccentricity further counteracts the nonlinear instability caused by crack, and there is a local gradual stability region in respiratory cracked rotor. Especially in 0.8e1.6, mass eccentricity will further suppress nonlinear instability motion, which can provide theoretical basis for nonlinear motion control of cracked rotor.
【作者单位】： 华北电力大学能源动力与机械工程学院;华北电力大学数理学院;
【基金】：国家自然科学基金项目(11402087)
【分类号】：TK263.61
，
本文编号：2350310
[Abstract]:Based on the zero stress intensity factor (SIF) method, the vibration models of cracked rotor and respiratory cracked rotor are established, and the numerical integration of the model is carried out by using Runge-Kutta method. The steady state response digital simulation and stability quantification analysis of two kinds of rotors are realized in the process of raising speed. The results show that there are obvious 1 / 3 order and 1 / 2 order super harmonic resonance in the speed raising process of the open crack rotor and the respiratory crack rotor. In the supercritical speed region, both cracked rotor and respiratory cracked rotor appear subharmonic resonance at the speed ratio of p = 蠅 / 蠅 _ 0 / 2.10 ~ 2.20 ~ 2.55. This phenomenon can be used as a basis for judging the existence of crack fault of rotor. In different speed regions, the behavior of respiratory cracked rotor is different from that of open crack rotor, especially in supercritical speed region, mass eccentricity further counteracts the nonlinear instability caused by crack, and there is a local gradual stability region in respiratory cracked rotor. Especially in 0.8e1.6, mass eccentricity will further suppress nonlinear instability motion, which can provide theoretical basis for nonlinear motion control of cracked rotor.
【作者单位】： 华北电力大学能源动力与机械工程学院;华北电力大学数理学院;
【基金】：国家自然科学基金项目(11402087)
【分类号】：TK263.61
，
本文编号：2350310
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