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Dynamic Behavior of Plane Parabolic Arches with Initial Deflections

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Abstract

This study aims to investigate the dynamic behaviour of a parabolic arch with initial deflection by using the elasto-plastic finite element model where the von-Mises yield criteria have been adopted. The initial deflection of arch was assumed by the high order polynomial of and the sinusoidal profile of . Several numerical examples were tested considering symmetric initial deflection modes when the maximum initial deflection of an arch is fixed as L/500, L/1000, L/2000 or L/5000. The effects of polynomials order on the dynamic behavior of arch were not conspicuous. The most unfavorite dynamic response occurs when the maximum initial deflection varies from L/1000 to L/4000 if the initial deflection mode is represented by high order polynomials.

참고문헌 (12)

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  3. "Dynamic Behavior of the Plane Circular Arches with the Shape Imperfections", 43(3), pp.85~93 (2001)
  4. "Effects of Partially Distributed Step Load on Dynamic Response of the Plane Circular Arches", 43(4), pp.89~96 (2001)
  5. "Wind Induced Dynamic Behavior of RC cooling Tower Shell", 3(1), pp.99~109 (1999)
  6. "In-Plane Stability of Parabolic Arches Journal of the structural division", 108
  7. "Ultimate Load Carrying Capacity of Steel Arches Journal of the structural division", 103, pp.2323~2336 (1977)
  8. "Finite Element Analysis of Nonlinear Static and Dynamic Response International Journal for Numerical Methods in Engineering", 11, pp.499~520
  9. "Finite elements in plasticity" (1980)
  10. "Dynamic buckling of axisymmetric spherical caps with initial imperfections", 9, pp.463~473 (1978)
  11. "Nonlinear dynamics buckling of spherical caps with initial imperfections", 12, pp.49~63 (1980)
  12. "Geometrically nonlinear finite element analysis of beams", 7, pp.725~735 (1977)

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