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Structural Engineering and Mechanics
  Volume 26, Number 5, July30 2007, pages 483-498
DOI: http://dx.doi.org/10.12989/sem.2007.26.5.483
 


Dynamic response of a hinged-free beam subjected to impact at an arbitrary location along its span with shear effect
Y. Zhang and J. L. Yang

 
Abstract
    In case of considering the shear effect, the complete solutions are obtained for dynamic plastic response of a rigid, perfectly plastic hinged-free beam, of which one end is hinged and the other end free, subjected to a transverse strike by a travelling rigid mass at an arbitrary location along its span. Special attention is paid to new deformation mechanisms due to shear sliding on both sides of the rigid mass and the plastic energy dissipation. The dimensionless numerical results demonstrate that three parameters, i.e., mass ratio, impact position of mass, as well as the non-dimensional fully plastic shear force, have significant influence on the partitioning of dissipated energy and failure mode of the hingedfree beam. The shear effect can never be negligible when the mass ratio is comparatively small and the impact location of mass is close to the hinged end.
 
Key Words
    hinged-free beam; impact; plastic dissipated energy; deformation mechanism; complete solution.
 
Address
Y. Zhang: School of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, P.O. Box 93, Beijing, 100029, P. R. China
J. L. Yang: Solid Mechanics Research Center, Beijing University of Aeronautics and Astronautics, Beijing, 100083, P. R. China
 

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