Sommerfeld Phenomena of an Asymmetric Rotor

Abstract

ARTICLE INFO ABSTRACT Article history:This paper provides a comprehensive study on the Sommerfeld phenomena in an asymmetric rotor with a nonideal power supply. An analytical approach is employed by deriving the equations of motion in a nondimensional form. The system parameters, including the asymmetry, external and internal damping, and motor power, are chosen to find their effects on the characteristics of the Sommerfeld phenomena and critical behavior around resonance. Results show that the rotor asymmetry suppresses the Sommerfeld phenomena and helps pass through resonance if the asymmetry is small. However, it is observed that the opposite effects exist in case of a large asymmetry. It is also found that the effects of external damping on the Sommerfeld phenomena are similar to those of the asymmetry, whereas internal damping has less effects than external damping and the asymmetry. By performing numerical simulations, four types of critical behavior are identified from the viewpoints of the stability and the passage through resonance. [3,4] , 효과적으로 임계 영역을 통과하는 방안에 관한 연구가 수행되어 왔다 [5,6] . 본 연구에서는 비대칭성이 존재하는 회전계에서 구동원의 제한 된 용량으로 인하여 발생하는 Sommerfeld 현상에 관해 분석하고 자 한다. 위에서 언급한 선행 연구들은 모두 축대칭 회전계에서 발