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Stability Analysis of a Beam Subjected to Axial, Bending and Torsional Follower Loads on the Tip

Nejati, Alireza | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 45066 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Dehghani Firouzabadi, Roohollah
  7. Abstract:
  8. Because the structural stability is directly related with structural damage, it is considered one of the most important issues in the industry. One of the applied cases in the stability issue discuss about the stability of the beam under follower loads. Follower loads obtained from aerodynamic pressure, rocket’s thrust, dry friction of the rotating disk, drilling and etc. Because the follower loads are always perpendicular to the beam cross section, thus with changing the angle of their location, their directions are changed. Spatial dependence makes a non-conservative and dynamic problem. So these loads causes dynamic instability that say flutter. In this study, the stability of a cantilever three-dimensional beam under axial, lateral, torsional and bending loads in the constant direction and follower states, has been studied. Problem is modeled by using the nonlinear 3-d Euler-Bernoulli beam theory and extended Hamilton principle and have obtained the equations of motion. Then obtained non-dimensional equation and solved it by using assumed modes expansion and Galerkin method. In this study, the influence of the constant direction and follower loads, individually and in combination, on the stability of the beam examined. Also influence of the coefficients of follower loads on the stability of the beam is examined and obtained the boundary coefficients of follower loads
  9. Keywords:
  10. Combined Loading ; Follower Force ; Nonlinear Three Dimentional Euler-Bernoulli Beam Theory ; Extended Hamilton Principle ; Galerkin Method ; Axial Loads

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