【摘要】 为了研究复杂涡动引起的裂纹非线性呼吸行为对转子临界转速的影响,构建了带横向裂纹Jeffcott转子的通用运动方程,利用新建运动方程对临界转速附近裂纹转子的稳态响应进行了数值研究。发现裂纹的非线性呼吸行为对转子不但具有增强稳定性的作用(与开裂纹转子相比),而且在一定条件下具有降低振动响应的作用(与无裂纹转子相比)。与无裂纹转子相似,稳定的裂纹转子的临界转速等于响应振幅最大且重心转向约90°对应的转速。裂纹转子的临界转速值随不平衡量方位角在开裂纹和闭裂纹转子固有频率之间变化。在转子实验台上进行了裂纹转子通过临界转速的实验验证,观察数据支持理论研究结果。更多还原

【Abstract】 The general motion equations of a Jeffcott rotor with a transverse crack were developed for studying the influence of crack nonlinear breathing behavior due to whirling with the critical speed of the rotor,in which the complicated manner of the rotor’s whirl was considered.With the new equations,the numerical results and analysis for the steady vibration response of the cracked rotor near the critical speed showed that the nonlinear breathing behavior not only can strengthen the stability of the rotor(compared with the opening cracked rotor),but also can reduce the vibration response in certain conditions(compared with the un-cracked rotor);the stable cracked rotor is similar to the un-cracked rotor,when the rotating speed coincides with the critical speed,the vibration response is the maximum and the center of gravity rotates about 90°;the critical speed is a function of the imbalance orientation angle,it varys between the natural frequencies of the rotor with crack opening and those with crack closing;the passage through critical speed experiment observations of a cracked rotor on a rotor test rig support the theoretical study results.更多还原