Nonlinear Transverse Oscillation of Elastic Beams under Tension

  • Ichikawa Yoshi H.
    Institute of Plasma Physics, Nagoya University
  • Konno Kimiaki
    Department of Physics, College of Science and Technology, Nihon University
  • Wadati Miki
    Institute of Physics, College of General Education, University of Tokyo

書誌事項

タイトル別名
  • Nonlinear Transverse Oscillation of Ela
公開日
1981
DOI
  • 10.1143/jpsj.50.1799
公開者
一般社団法人 日本物理学会

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説明

Nonlinear transverse oscillation of elastic beam under end-thrust has been examined with full account of the rigorous nonlinear relation of curvature and deformation of elastic beam. When the beam is subjected to tension, the derived equation is shown to be reduced to one of the new integrable evolution equations discovered by us. Since integration of the derived equation by the inverse scattering method poses itself new problems, stationary solutions have been examined to provide basic informations for soliton solutions. A singular solitary wave solution has been obtained as a limiting case of stationary periodic solutions of the reduced nonlinear evolution equation.

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