摘要
以具有刚性支承的水平Jeffcott裂纹转子为研究对象 ,考虑涡动的影响 ,建立了裂纹转轴在固定坐标系中的刚度矩阵 ,推导了裂纹转子振动的运动方程 ,并通过数值方法分析了其动态特性。数值分析表明 :裂纹转子振动响应中出现 1X、2X、3X……分量 ,且当Ω =1 /2、1 /3…时 ,2X、3X…分量分别达到最大值 ;转子的中心轨迹形状随Ω变化而变化。当 β=0 ～π逐渐增大时 ,响应中 1X分量显著减小。考虑弯扭耦合振动时 ,振动响应中出现一些新的频率成分。同步激励的情况下 ,当ω =ωN/n(n =2 ,3 ,4,… )时 ,扭转振动响应中nX分量也达到最大值。
The coupled vibration of a horizontal Jeffcott rotor containing a transverse crack is investigated in this paper. With the influence of whirl speed taken into account, the flexural stiffness matrix and the torsional stiffness of the cracked shaft are established and they are time variable. Then the motion equations of the coupled vibration of the cracked rotor are derived. Numerical analysis demonstrates that the responses of the flexural vibration contain 2X, 3X... components, reaching their maximum values when Ω=1/2,1/3... respectively. The 1X component of the response decreases with β and the orbit of the rotor is influenced by the value of Ω . Some new components appear in the response of the cracked rotor when the coupled vibration is considered. If the external excitation is synchronic, the nX component in the response of the torsional vibration achieves its maximum value when ω=ω N/n(n=2,3,4,...).
出处
《应用力学学报》
CAS
CSCD
北大核心
2001年第4期65-70,共6页
Chinese Journal of Applied Mechanics
基金
国家重点基础研究发展规划项目 (No .G19980 2 0 32 1)
