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بررسی رفتار تیر و صفحه روی بستر عمومی  تحت اثر جرم متحرک
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بررسی رفتار تیر و صفحه روی بستر عمومی تحت اثر جرم متحرک

قنادی اصل، امین Ghannadiasl, Amin

Dynamic Behavior Beam and Plate on Foundation under Moving Mass

Ghannadiasl, Amin | 2015

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 46965 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Mofid, Massoud
  7. Abstract:
  8. The behavior of a beam under moving mass has been always interested in the dynamic of structures. In this study, the dynamic response of beam and plate with general boundary conditions under moving mass were investigated using the Dynamic Green Function. Since the majority of previous studies did not consider the Coriolis acceleration, therefore, this acceleration was used in the present study. Boundary conditions are modeled by the rotational and translational restraint. By moving close to the spring constants of the rotational and translational restraint to extreme values (zero and/or infinity), the boundary conditions can be attained for the desired combinations of end boundary conditions (i.e. simply supported, clamped and free boundary conditions). In this study, the foundation was considered as an elastic Winkler foundation and an arbitrary variable elastic foundation was examined. Also, the effect of various parameters such as the ratio of moving mass to the total mass of the beam, velocity, acceleration, increasing and decreasing moving mass, effect of end boundary conditions on the dynamic response of the beam, the elastic stiffness of the rotational and translational restraint and analytical solution of the governing equations were assessed in this study. The results showed that the effect of Coriolis acceleration is not negligible, so that the effect of the Coriolis acceleration increases when the ratio of the moving mass to total mass of the beam increases. The effect of the moving mass to the total mass of the beam was different in various velocities. On the other hand, the beam was deflected less when the moving mass experiences a stiffer constraint in its start point on the beam. Due to the results, the method of Green functions is more efficient and simplistic when compared with other methods
  9. Keywords:
  10. Elastic Foundation ; Timoshenko Beams ; Kirchhoff Rectangular Plate ; Traveling Mass ; General Boundary Conditions ; Dynamic Green Function

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