Effect of Element Thickness on the Eigenvalues of Beams

보 요소의 두께가 고유치에 미치는 영향

  • Lee, Gun-Myung (School of Mechanical and Aerospace Engineering, Gyeongsang National University) ;
  • Park, Young-Hyo (Department of Mechanical Engineering, Gyeongsang National University)
  • Published : 2004.11.03

Abstract

The sensitivities of eigenvalues to the change of element thickness have been calculated for beams in the paper. For a cantilever beam the sensitivities fluctuate more for higher modes. When the thickness of the element near the fixed end increases, the eigenvalues for all modes increase. On the other hand, increasing of the thickness of the element at the tip decreases the eigenvalues for all modes. For a simply supported beam the sensitivities fluctuate more for higher modes, which is the same phenomenon as for a cantilever beam. The sensitivities are always positive for all modes

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