Dynamic response of a Timoshenko beam on a winkler foundation subjected to a moving mass

Abstract The dynamic response of a Timoshenko beam resting on a Winkler-type elastic foundation acted upon by a moving concentrated mass is analyzed and compared with the corresponding behavior of a Timoshenko beam subjected to an equivalent moving force neglecting the inertial effects of the mass. The possible separation of the moving mass from the beam during the course of the motion is investigated by monitoring the contact force between the mass and the beam. It is found that separation of the mass from the beam may occur for high axial speeds of the mass and such a separation can be suppressed by a Winkler foundation of large stiffness.

[1]  S. Sadiku,et al.  On the dynamics of elastic systems with moving concentrated masses , 1987 .

[2]  A. L. Florence.  Traveling Force on a Timoshenko Beam , 1965 .

[3]  T. Huang,et al.  The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions , 1961 .

[4]  Chong-Won Lee,et al.  DYNAMIC STABILITY AND RESPONSE OF A BEAM SUBJECT TO A DEFLECTION DEPENDENT MOVING LOAD , 1987 .

[5]  Moshe Eisenberger,et al.  Beams on Variable Two‐Parameter Elastic Foundation , 1987 .

[6]  Arnold Verruijt,et al.  Beams on Elastic Foundation , 1995 .

[7]  H. D. Nelson,et al.  Dynamic Stability of a Beam Carrying Moving Masses , 1971 .

[8]  Lien-Wen Chen,et al.  Dynamic Stability of a Cantilever Shaft-Disk System , 1992 .

[9]  Moshe Eisenberger,et al.  Vibration Frequencies For Beams On Variable One- And Two-parameter Elastic Foundations , 1994 .

[10]  G. Benedetti,et al.  DYNAMIC STABILITY OF A BEAM LOADED BY A SEQUENCE OF MOVING MASS PARTICLES , 1974 .

[11]  Charles R. Steele,et al.  The Finite Beam With a Moving Load , 1967 .

[12]  Jean W. Zu,et al.  Modal analysis of rotating shafts: A body-fixed axis formulation approach , 1992 .

[13]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .

[14]  Moshe Eisenberger,et al.  Vibrations and buckling of a beam on a variable winkler elastic foundation , 1987 .

[15]  A. Galip Ulsoy,et al.  THE DYNAMIC-RESPONSE OF A ROTATING SHAFT SUBJECT TO A MOVING LOAD , 1988 .