SEPARATION BETWEEN THE FLEXIBLE STRUCTURE AND THE MOVING MASS SLIDING ON IT

• Published in: Journal of sound and vibration Vol. 209; no. 5; pp. 867 - 877
• Main Author: Lee, U.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 05.02.1998; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Integrodifferential equations; Added mass; Modal analysis; Vibrations (mechanical); Moving load; Sliding contact; Numerical methods; Beams and girders
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.1997.1287

The problem of the dynamic response of an elastic structure due to a moving mass arises in many engineering applications. The interaction force between a moving mass and a structure obviously depends on the velocity of the moving mass and the flexibility of structure. Thus, in some situations, the interaction force may become zero to change its sign, which implies the onset of the separation between the moving mass and structure. Most of the investigations on this subject have missed or ignored the possibility of the onset of separation in solving the dynamic responses of structures excited by moving masses. Hence, this paper investigates the onset of the separation between the moving mass and beam, and then takes into account its effect in calculating the interaction forces and also in calculating the dynamic responses of the beams considered herein. Numerical tests show that the effects of separation become significant as the velocity of the moving mass and the mass ratio (M/M) increase.