Browse > Article
http://dx.doi.org/10.5050/KSNVE.2011.21.3.271

Dynamic Analysis of the Beam Subjected to the Axial Load and Moving Mass  

Lee, Kyu-Ho (한양대학교 일반대학원 기계공학과)
Chung, Jin-Tai (한양대학교 기계공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.21, no.3, 2011 , pp. 271-279 More about this Journal
Abstract
In this study, the dynamic analysis of a beam is analyzed by using the finite element method when the beam has moving mass and axial load. To consider the contact force between the moving mass and beam, coupled nonlinear equations of contact dynamics are derived, and then the weak form for the finite element method is established. The finite element computer programs based on the Lagrange multiplier method are developed to compute the contact force. Furthermore, a variety of simulations are performed for various design parameters such as moving mass velocity, compressive axial load and tension load. Finally, relations between the dynamic response and contact force are also discussed.
Keywords
Dynamic Analysis; Moving Mass; Axial Load; Contact Force; FEM; Lagrange Multiplier Method;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Esmailzadeh, E. and Ghorashi, M., 1995, Vibration Analysis of Beam Traversed by Uniform Partially Distributed Moving Mass, Journal of Sound and Vibration, Vol. 184, No. 1, pp. 9-17.   DOI
2 Esmailzadeh, E. and Ghorashi, M., 1997, Vibration Analysis of a Timoshenko Beam Subjected to a Travelling Mass, Journal of Sound and Vibration, Vol. 199, No. 4, pp. 615-628.   DOI
3 Michaltsos, G. T., 2001, The Influence of Centripetal and Coriolis Forces on the Dynamic Response of Light Bridge Under Moving Vehicle, Journal of Sound and Vibration, Vol. 247, No. 2, pp. 261-277.   DOI
4 Michaltsos, G. T., 2002, Dynamic Behaviour of a Single-span Beam Subjected to Loads Moving with Variable Speeds, Journal of Sound and Vibration, Vol. 258, No. 2, pp. 359-372.   DOI
5 Michaltsos, G. T., Srantithou, E. and Sophianopoulos, D. S., 2005, Flexble-torsional Vibration of Simply Supported Open Cross-section Steel Beams Under Moving Loads, Journal of Sound and Vibration, Vol. 280, No. 3-5, pp. 479-494.   DOI
6 Rieker, J. R., Lin, Y. H. and Trethewey, M. W., 1996, Discretization Considerations in Moving Load Finite Element Beam Models, Finite Element in Analysis and Design, Vol. 21, No. 3, pp. 129-144.   DOI
7 Stancioiu, D., Ouyang, H. and Mottershead, J. E., 2008, Dynamics of a Beam and a Moving Two-axle System with Separation, Proceeding of the Institution of Mechanical Engineering Part C-journal of Mechanical Science, Vol. 222, No. 10, pp. 1947-1956.   DOI
8 Rieker, J. R. and Trethewey, M. W., 1999, Finite Element Analysis of an Elastic Beam Structure Subjected to a Moving Distributed Mass Train, Mechanical Systems and Signal Processing, Vol. 13, No. 1, pp. 31-51.   DOI
9 Yoon, H. I., Lee, Y. W. and Son, I. S., 2003, Influence of Crack on Dynamic Behavior of Simply Supported Beam with Moving Mass, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 13, No. 9, pp. 720-729.   과학기술학회마을   DOI
10 Lee, U., 1998, Separation Between the Flexible Structure and the Moving Mass Sliding on It, Journal of Sound and Vibration, Vol. 209, No. 5, pp. 867-377.   DOI
11 Simsek, M. and Kocaturk, T., 2006, Dynamic Analysis of Eccentrically Prestressed Viscoelastic Timoshenko Beams under a Moving Harmonic Load, Computers and Structures, Vol. 84, Issue 31-32, pp. 2113-2127.   DOI
12 Chung, J. and Hulbert, G. M., 1993, A Time Integration Algorithm for Structural Dynamics with Improved Numerical Dissipation: the Generalized-$\alpha$ Method, American Society of Mechanical Engineers Journal of Applied Mechanics, Vol. 60, No. 2, pp. 371-375.   DOI   ScienceOn