The Instability Behavior of Shallow Sinusoidal Arches(2) : Classification of Dynamic Buckling under Step Pressure

얕은 정현형 아치의 불안정 거동에 관한 연구(2) : 스텝하중에서의 동적좌굴 특성

  • Published : 1999.09.01

Abstract

The some papers which deal with the dynamic instability for shell-like structures under the step load have been published, but there are few papers which treat the essential phenomenon of the dynamic buckling using the phase plane for investigating occurrence of chaos. In nonlinear dynamics, examining the characteristics of attractor on the phase plane and investigating the dynamic buckling process are very important thing for understanding why unstable phenomena are sensitively originated by various initial conditions. In this study, the direct and the indirect snap-buckling of shallow arches considering geometrical nonlinearity are investigated numerically and compared with the static critical load.

쉘형 구조물의 동적 불안정 문제를 다룬 연구결과는 다소 발표되고 있으나, 위상면을 이용하여 카오스 생성에 관해 기본적 현상을 다룬 연구는 아직 없는 실정이다. 동적 비선형 문제에서, 여러 가지 초기조건에 의해 불안정 현상이 민감하게 발생하는 이유를 파악하기 위해 위상면에서의 끌개의 특성을 조사하여 동적 불안정 생성과정을 검토하는 일은 매우 중요하다. 본 연구에서는 기하학적 비선형을 고려한 얕은 아치의 직접/간접 좌굴을 수치적 기법으로 조사하고, 이를 정적 좌굴하중과 비교한다.

Keywords

References

  1. Q. Math. Phys. v.32 no.4 Dynamic analysis of the buckling of laterally loaded flat arches Hoff, N. J.;Bruce, V. G.
  2. J. Appl. Mech. v.34 no.2 The effects of various parameters on the dynamic stability of a shallow arch Hsu, C. S.
  3. J. Appl. Mech. v.35 no.1 Stability of shallow arches against snap-through under timewise step loads Hsu, C. S.
  4. Int. J. Nonlinear Mech. no.3 Equilibrium configurations of a shallow arch of arbitrary shape and their dynamic stability character Hsu, C. S.
  5. Int. J. Engng Sci. v.4 no.1 On dynamic stability of elastic bodies with prescribed initial conditions Hsu, C. S.
  6. J. Appl. Mech. v.35 no.4 On the final states of shallow arches on elastic foundations subjected to dynamical loads Hsu, C. S.;Kuo, C. T.;Lee, S. S.
  7. AIAA J. v.4 no.7 Snapping of a shallow sinusoidal arch under a step pressure load Lock, M. H.
  8. J. Eng. Mech. Div., ASCE v.97 no.EM3 Dynamic buckling of shallow arches Fulton, R. E.;Baton, F. W.
  9. J. Eng. Mech. Div., ASCE v.102 no.EM5 Dynamic buckling of shallow arches Lo, D. L. C.;Masur, E. F.
  10. J. Appl. Mech., ASME Dynamic snap-through of imperfect viscoelastic shallow arches Huang, N. C.;Nachbar, W.
  11. J. Eng. Mech. Div., ASCE v.108 no.EM6 Dynamic stability boundaries for shallow arches Gregory, W. E. Jr.;Plaut, R. H.
  12. AIAA J. v.21 no.3 Dynamic stability boundaries for a sinusoidal shallow arch under pulse loads Donaldson, M. T.;Plaut, R. H.
  13. AIAA J. v.7 no.8 Influence of damping on the snapping of a shallow arch under a step pressure load Hegemier, G. A.;Tzung, F.
  14. J. Appl. Mech., ASME v.47 no.3 The effect of damping on dynamic snap-through Johnson, E. R.
  15. AIAA J. v.6 no.5 Dynamic snap-through of shallow arches under stochastic loads Ariaratnam, S. T.;Sankar, T. S.
  16. AIAA J. v.10 no.8 Dynamic snap-buckling of shallow arches under inclined loads Sundararajan, V.;Kumani, D. S.
  17. Stability in the Mechanics of Continua Snap-through of a shallow arch under pulsating load Huang, K. Y.;Plaut, R. H.;F. H. Schroeder(ed.)
  18. J. Eng. Mech. Div., ASCE v.88 no.EM5 The energy criterion and snap buckling of arches Gjelsvik, A.;Bodner, S. R.
  19. 東京大學博士學位論文 扁平構造物の動的安定に關する硏究 金勝德
  20. Int. J. Impact Engng. v.11 no.4 The Dynamic Elastic Buckling of a Circular Arch with Finite Displacements and Initial Imperfections Yao, Jian;Song, Boquan
  21. 대한건축학회 논문집 v.10 no.6 기하학적 비선형을 고려한 얕은 타원 포물곡면쉘의 동적 불안정 현상 김승덕
  22. 전산구조공학 논문집 v.8 no.2 얕은 타원포물곡면쉘의 동적 불안정 현상의 규명을 위한 비선형 동적 응답의 스펙트럼 분석 김승덕
  23. Computers & Structures v.64 no.1-4 Dynamic Instability of Shell-Like Shallow Trusses Considering Damping Kim, Seung-Deog(et al.)