Dynamic Behaviors of an Elastically Restrained Beam Carrying a Moving Mass

• Published in: Journal of mechanical science and technology Vol. 20; no. 9; pp. 1382 - 1389
• Main Authors: Ryu, Bong-Jo, Lee, Jong-Won, Yim, Kyung-Bin, Yoon, Young-Sik
• Format: Journal Article
• Language: English
• Published: Seoul 대한기계학회 01.09.2006; Korean Society of Mechanical Engineers; Springer Nature B.V
• Subjects: Beams (structural); Dynamic tests; Dynamics; Equations of motion; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Galerkin methods; Mathematical models; Physics; Runge-Kutta method; Solid mechanics; Springs; Structural and continuum mechanics; Studies; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); 기계공학; Runge-Kutta Integral Method; Translational Spring; Galerkin's Mode Summation Method; Dynamic Responses; Simply Supported Beam; Dynamic response; Vibration; Equation of motion; Simple support; Experimental study; Runge Kutta method; Modeling; Spring mass system; Dynamic test; Galerkin-Petrov method; Added mass; Moving load; Inertia; Galerkin method; Moving body
• ISSN: 1738-494X; 1976-3824
• DOI: 10.1007/BF02915961

Dynamic responses of a simply supported beam with a translational spring carrying a moving mass are studied. Governing equations of motion including all the inertia effects of a moving mass are derived by employing the Galerkin's mode summation method, and solved by using the Runge-Kutta integral method. Numerical solutions for dynamic responses of a beam are obtained for various cases by changing parameters of the spring stiffness, the spring position, the mass ratio and the velocity ratio of a moving mass. Some experiments are conducted to verify the numerical results obtained. Experimental results for the dynamic responses of the test beam have a good agreement with numerical ones.[PUBLICATION ABSTRACT]