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Dynamic response of euler-Bernoulli, Timoshenko and higher-Order beams under a moving mass via RKPM

Nikkhoo, A ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. Publisher: University of Southampton, Institute of Sound Vibration and Research , 2008
  3. Abstract:
  4. Discrete motion equations of an Euler-Bernoulli, Timoshenko and higher-order beams under a moving mass are derived for different boundary conditions. To this end, the reproducing kernel particle method (RKPM) has been utilized for spatial discretization, beside the extension of Newmark-β method for time discretization of the beams motion equations. The effects of significant parameters such as the beam's slenderness and velocity of the moving mass on the maximum deflection and bending moment of different beams are studied in some details. The results indicate the existence of a critical beam's slenderness mostly as a function of beam's boundary conditions, in which for slenderness lower than this so-called critical one, the results of different beam theories are obviously distinct
  5. Keywords:
  6. Boundary conditions ; Structural dynamics ; Euler Bernoulli beams ; Higher-order beams ; Moving mass ; RKPM ; Timoshenko beams ; Equations of motion
  7. Source: 7th European Conference on Structural Dynamics, EURODYN 2008, 7 July 2008 through 9 July 2008 ; 2008 ; 9780854328826 (ISBN)