Waviness 가 있는 볼베어링으로 지지된 회전계의 동특성 해석 (Ⅱ) -안정성 해석-

다국어 초록 (Multilingual Abstract)

This research presents an analytical model to investigate the stability due to the ball bearing waviness in a<br/>
rotating system supported by two ball bearings. The stiffness of a ball bearing changes periodically due to the waviness in the rolling elements as the rotor rotates, and it can be calculated by differentiating the nonlinear contact forces. The linearized equations of motion can be represented as a parametrically excited system in the form of Mathieu's equation, because the stiffness coefficients have time-varying components due to the waviness. Their solution can be assumed as a Fourier series expansion so that thc equations of motion can be rewritten as the simultaneous algebraic equations with respect to the Fourier coefficients. Then, stability can be determined by solving the Hill's infinite detenninan: of these algebraic equations. The validity of this research is proved by comparing the stability chart with the time responses of the vibration model suggested by prior researches. This research shows that the waviness in the rolling clements of a ball bearing generates the time-varying component of the stitTness coeOlcient, whose fretjuency is called the frequency of the parametric excitation. It also shows that the instability takes plaee from the positions in which the ratio of the natural frequency to the frequency of the parametrie excitation corresponds to i/2 (i=I,2,3..).<br/>

목차 (Table of Contents)

• Abstract
  
• 1.서론
  
• 2.해석방법
  
• 3.결과 및 고찰
  
• 4.결론
  
• 참고문헌