• Title of article

    Vibration analysis of structural elements using differential quadrature method

  • Author/Authors

    Nassar, Mohamed Cairo University - Faculty of Engineering - Department of Engineering Mathematics and Physics, Egypt , Matbuly, Mohamed S. Zagazig University - Faculty of Engineering - Department of Engineering Mathematics and Physics, Egypt , Ragb, Ola Zagazig University - Faculty of Engineering - Department of Engineering Mathematics and Physics, Egypt

  • From page
    93
  • To page
    102
  • Abstract
    The method of differential quadrature is employed to analyze the free vibration of a cracked cantilever beam resting on elastic foundation. The beam is made of a functionally graded material and rests on a Winkler–Pasternak foundation. The crack action is simulated by a line spring model. Also, the differential quadrature method with a geometric mapping are applied to study the free vibration of irregular plates. The obtained results agreed with the previous studies in the literature. Further, a parametric study is introduced to investigate the effects of geometric and elastic characteristics of the problem on the natural frequencies.
  • Keywords
    Vibration , Differential quadrature , Crack , Irregular boundaries
  • Journal title
    Journal of Advanced Research
  • Journal title
    Journal of Advanced Research
  • Record number

    2589851