Geometrically Nonlinear Vibration of Concrete Funicular Shells Under Impulse Loads

Daneshmand, Niloofar | 2016

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  1. Type of Document: M.Sc. Thesis
  2. Language: English
  3. Document No: 48428 (53)
  4. University: Sharif University of Technology, International Campus, Kish Island
  5. Department: Science and Engineering
  6. Advisor(s): Mofid, Massoud
  7. Abstract:
  8. Reinforced concrete shells are widely used to cover the small to large area with more aesthetics at minimum cost. Shell structures carry load through their shape rather than material strength. Funicular shells are special type of shells that their shape is obtained so that stresses be compressive under a special load (for shell, this load is its dead weight). This study deals with geometrically nonlinear vibration of funicular shells on a rectangular ground plan under impulse loads using nonlinear shallow shells theory. The boundary conditions are considered as clamped edges. Displacement components are product of position and time functions. The analysis is based on the expansion of displacement components in a double fourier series which satisfied the boundary conditions. After computing kinetic energy, elastic strain energy and the virtual work done by external forces in terms of displacement components, the equations of motion are obtained by Lagrangian approach and are solved with numerical technique. The accuracy of the analysis has been examined by comparing results with those of finite element methods. The results show that under impulse loads, stresses in funicular shells are not only compressive and tensile stresses are also formed. Of course, compressive stresses that formed in funicular shells under impulse loads are much more than tensile stresses
  9. Keywords:
  10. Funicular Shells ; Finite Element Method ; Fourier Series ; Lagrange Equation ; Geometrically Nonlinear Analysis ; Nonlinear Vibration

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