Analysis of Impact Bending of Cantilever with Various Depth/Span Ratios by Means of High-Speed Photoelasticity

  • S. Hashimoto
  • K. Kawata
Conference paper


Effect of Depth/Span ratio on bending stress wave propagation and on dynamic stress concentration factor in cantilever beam (dynamic load factor, DLF) under transverse impact load was studied by means of high-speed photoelasticity. The photoelastic isochromatics for the entire impact duration were obtained, and propagation of bending stress waves was investigated. It was found that the upper limit of depth/span ratio for generating bending waves was about 0.57. Positive stress produced at the lower edge of the fixed end by stress wave going ahead of bending wave decreases with increasing h/1 and at h/l=0.55 and 0.91, this phenomenon is not observed. The results on DLF obtained from experiment were compared with theoretical solution by one dimensional equation for free vibrations of a beam in which transverse shear and rotary inertia were neglected. It was also shown that experimental results for DLF fell between theoretical solutions with the assumption of viscoelastic material and elastic material.


Free Vibration Stress Wave Transverse Shear Fringe Order Flexural Wave 
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Copyright information

© Springer-Verlag Tokyo 1986

Authors and Affiliations

  • S. Hashimoto
    • 1
  • K. Kawata
    • 2
  1. 1.Institute of Interdisciplinary Research, Faculty of EngineeringUniversity of TokyoHongo, Bunkyo-ku, Tokyo 113Japan
  2. 2.Faculty of Science and TechnologyScience University of TokyoNoda, Chiba 278Japan

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