Journal of The Korean Society of Agricultural Engineers (한국농공학회논문집)

The Korean Society of Agricultural Engineers (한국농공학회)
권호 표지
DOI QR코드

DOI QR Code

Dynamic Behavior of Plane Parabolic Arches with Initial Deflections

초기 처짐을 갖는 평면 포물선 아치의 동적 거동

  • 조진구 (전남대학교 농과대학, 농업과학기술 연구소) ;
  • 박근수 (전남대학교 대학원, 금광기업(주))
  • Published : 2004.01.01
Download PDF
⟨ Previous Next ⟩

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 ${\omega}_i$ = ${\omega}_o$${(1-{(2x/L)}^m)}^n$) and the sinusoidal profile of ${\omega}_i$ = ${\omega}_o$$\sin$(n$\pi$x/L). 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.

Keywords

References

  1. Austin, Walter J., et al., 1982, Numerical Bending Analysis of Arches, Journal of the structural division, ASCE, Vol 108, No. ST4, : 849-867
  2. Austin, Walter J. and Timothy J. Ross, 1876, Elastic Buckling of Arches under symmetric loading, Journal of the structural division, ASCE,Vol. 102, No. st5, : 1085-1095
  3. Cho, Jin Goo, 2001. Dynamic Behavior of the Plane Circular Arches with the Shape Imperfections, Journal of the Korean Society of Agricultural Engineers, 43(3) : 85-93. (in Korean)
  4. Cho, Jin Goo, Keun Soo Park, 2001, Effects of Partially Distributed Step Load on Dynamic Response of the Plane Circular Arches, Journal of the Korean Society of Agricultural Engineers, 43(4) : 89-96. (in Korean)
  5. Choi, Chang Koon and Hyuk Chun Noh, 1999, Wind Induced Dynamic Behavior of RC cooling Tower Shell, Journal of the Wind Engineering Institute of Korea, 3(1) : 99-109. (in Korean)
  6. Howard B. Harrison, 1982, In-Plane Stability of Parabolic Arches, Journal of the structural division, ASCE, Vol. 108, No. ST1. : 195-205.
  7. Komatsu, Sadao and Tatsuro Sakimoto, 1977, Ultimate Load Carrying Capacity of Steel Arches, Journal of the structural division, ASCE, Vol. 103, No. ST12, 2323-2336.
  8. Mondkar and Powell, G. H. 1977, Finite Element Analysis of Nonlinear Static and Dynamic Response, International Journal for Numerical Methods in Engineering, Vol. 11, 499-520. https://doi.org/10.1002/nme.1620110309
  9. Owen, D. R. J. and E. Hinton, 1980, Finite elements in plasticity
  10. Robert Kao, 1978, Dynamic buckling of axisymmetric spherical caps with initial imperfections, Pergamon, Computer & Structures, vol. 9, 463-473.
  11. Robert Kao, 1980, Nonlinear dynamics buckling of spherical caps with initial imperfections, Pergamon, Computer & Structures, vol. 12, 49-63.
  12. Wood R. D. and O. C. Zienkiewicz, 1977, Geometrically nonlinear finite element analysis of beams, frames, arches and axisymmetric shells, Pergamon, Computer & Structures, vol. 7, 725-735.