Dynamic Response of Concrete Funicular Shells under Impulse Loads

Sabermahany, Hadi | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47375 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Vafai, Abolhassan; 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 carries 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 forced vibration of funicular shells on a rectangular ground plan under impulse loads using shallow shells theory. Two boundary conditions, simply supported and clamped, are considered. 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 modal 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. But deflections and stresses, especially tensile stresses, under dynamic impulse loads are negligible for an amplitude of the load that is computable. Furthermore the effect of rise and span of funicular shell on the time response of the shell has been shown
  9. Keywords:
  10. Vibration ; Funicular Shells ; Finite Element Method ; Impact Load ; Dynamic Response ; Lagrange Equation

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