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http://dx.doi.org/10.5050/KSNVN.2003.13.11.868

Nonlinear Dynamic Modeling and Stability Analysis of an Axially Oscillating Cantilever Beam with a Concentrated Mass  

홍정환 (한양대학교 대학원 기계설계학과)
유홍희 (한양대학교 공과대학 기계공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.13, no.11, 2003 , pp. 868-874 More about this Journal
Abstract
A nonlinear modeling method for an axially oscillating cantilever beam with a concentrated mass is presented in this paper. Hybrid deformation variables are employed for the modeling method with which frequency response characteristics of axially oscillating cantilever beams are investigated. The geometric nonlinear effects of stretching and curvature are considered to accurately predict the frequency response characteristics of the oscillating cantilever beam. The effects of the size and the location of the concentrated mass on the frequency characteristics are investigated. It is found that the dynamic instability is significantly influenced by the two parameters.
Keywords
Axially Oscillating Motion; Frequency Response Characteristics; Cantilever Beam; Nonlinear Modeling; Concentrated Mass;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Rao, J., 1987. 'Turbomachine Blade Vibration.' Shock and Vibration Digest. Vol. 19. pp. 3-10.
2 Leissa, A., 1981. 'Vibration Aspects of Rotating Turbomachinery Blades.' Applied Mechanics Reviews, Vol. 34. pp. 629 - 635.
3 Crespo da Silva, M. R. M. and Glynn, C. C., 1978, 'Nonlinear Flexural-flexural-torsional Dynamics of Inextensional Beams. I. Equations of Motion,' Journal of Structural Mechanics, Vol. 6, pp. 437-448.   DOI   ScienceOn
4 Yoo, H. and Chung, J., 2001. 'Dynamics of Rectangular Plates Undergoing Prescribed Overall Motions,' J. of Sound and Vibration, Vol. 239, No. 1. pp. 123-137.   DOI   ScienceOn
5 김나은, 현상학, 유홍희, 2003. "축 방향 왕복 운동을 하는 외팔보의 복합변형변수를 이용한 비선형 모델링 및 주파수 응답특성", 한국소음진동공학회 논문집, 제13권, 제3호, pp.210-216.   과학기술학회마을   DOI   ScienceOn
6 Hyun, S. and Yoo, H.. 1999, 'Dynamic Modelling and Stability Analysis of Axially Oscillating Cantilever Beams,' J. of Sound and Vibration, Vol. 228. No.3, pp. 543-558.   DOI   ScienceOn
7 Kane, T., Ryan, R. and Banerjee, A., 1987. 'Dynamics of Cantilever Beam Attached to a Moving Base.' Journal of Guidance. Control and Dynamics. Vol. 10. pp. 139-151.   DOI   ScienceOn
8 Yoo, H., Ryan, R. and Scott, R., 1995, 'Dynamics of Flexible Beams Undergoing Overall Motions,' J. of Sound and Vibration, Vol. 181. No. 2, pp. 261-278.   DOI   ScienceOn
9 Kim, J., Hyun, S. and Yoo, H., 'Nonlinear Modeling and Dynamic Analysis of Flexible Structures Undergoing Overall Motions Employing Mode Approximation Method. KSME International J., Vol. 16, No.7, pp. 896-901.