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Structural Engineering and Mechanics
  Volume 4, Number 3, May 1996, pages 303-312
DOI: http://dx.doi.org/10.12989/sem.1996.4.3.303
 


Dynamic response of a beam on multiple supports with a moving mass
Lee HP

 
Abstract
    The dynamic behavior of an Euler beam with multiple point constraints traversed by a moving concentrated mass, a \'\'moving-force moving-mass\'\' problem, is analyzed and compared with the corresponding simplified \'\'moving-force\'\' problem. The equation of motion in matrix form is formulated using Lagrangian approach and the assumed mode method. The effects of the presence of intermediate point constraints in reducing the fluctuation of the contact force between the mass and the beam and the possible separation of the mass from the beam are investigated. The equation of motion and the numerical results are expressed in dimensionless form. The numerical results presented are therefore applicable for a large combination of system parameters.
 
Key Words
    moving mass, contact force, multiple supports, beam
 
Address
Lee HP, NATL UNIV SINGAPORE,DEPT MECH & PROD ENGN,10 KENT RIDGE CRESCENT,SINGAPORE 0511,SINGAPORE
 

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