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Torsional Flexural Stability Analysis of Narrow Section Beam Subjected to Moving Mass

Nikpayam, Jaber | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43642 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Dehghani Firouzabadi, Roohollah
  7. Abstract:
  8. Long thin rectangular beams are used in many industrial engineering including railways, aerospace and etc. Beam subjected to moving mass is one of the classic problems in mechanics and vibrations of beams and have been studied by many researchers. In most of done works, the moving mass was assumed to be small compared to beam mass and only acceleration effect of mass was considered. Also in many of researches only bending of beams was studied. Moving mass imposes 2 type of force in the supporting beam, first one is weight and the other is due to motion of mass and contains lateral, coriolis and centrifugal acceleration effects. In addition, due to the particular geometry considered (narrow rectangular cross-section), flexural and torsional vibrations of beam are fully coupled. In this study, using the Euler-Bernoulli model and energy approach, variation of kinetic and potential energies caused by flexural-torsional motion of beam is calculated and variation of external forces due to moving mass has been estimated. Then the equations of motion are derived by using the Hamilton principal. These equations have been solved numerically by utilizing assumed modes and Galerkin methods. Finally, parameters that affect the stability of beam such as mass, velocity and eccentricity of moving masses, torsional rigidity to flexural stiffness ratio of cross section of beam and distance between moving masses are investigated
  9. Keywords:
  10. Traveling Mass ; Vibrational Analysis ; Narrow Section Beam ; Bending and Torsion Coupling ; Inertial Effects

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