Dynamic Behavior of Composite Material Laminated Plates under Moving Loads

이동하중을 받는 복합재료 적층판의 동적거동특성

Chun, Kyoung-Sik;Ji, Hyo-Seon;Chang, Suk-Yoon
천경식;지효선;장석윤

  • Published : 2004.01.31

Abstract

In this paper, an analytical study is performed in order to investigate the characteristics of dynamic behavior of composite material laminated plates under moving loads. A formulation of a dynamic equilibrium equation of the laminated composite structures is presented. In the finite elements, modeling is established by the combined use of the addition of non-conforming displacement modes, assumed shear strain and improved shear stiffness. The mode superposition and Newmark direct integration method, adopted to perform time integration from step to step, are applied for dynamic analysis of Plates under moving load. Parametric studies for the effects of moving load, velocity, lamination scheme, stacking sequence, and fiber angle are carried out. The results in numerical analyses are compared with displacement, stress, influence surface, and dynamic magnification factor for laminated composite structures during moving load. It is found that the dynamic responses of the laminated plate are significantly varied by the effect of dynamic interaction between the moving velocities and the total stiffness of composite materials. The various results through numerical analysis are presented to use as a basic data in order to develop and grasp the behavior of all composite material bridges.

본 연구에서는 이동하중을 받는 복합재료 적층판의 동적거동특성을 파악하였다. 비등방성 복합재료 적층판의 동적평형방정식을 정식화하고, 비적합 변위모드와 가정된 전단변형률장 및 개선된 전단강성행렬을 갖는 유한요소을 사용하여 모델링하였다. 이동하중에 의한 동적거동은 시간에 관한 운동방정식의 적분과 시간이력을 해결하기 위해 모우드 중첩법과 Newmark 직접적분법을 사용하여 해석하였다. 이동하중의 속도, 적층수, 적층배열, 화이버 보강각도 등의 매개변수 변화에 따른 적층판의 처짐과 응력에 대한 영향면 및 동적확대계수를 비교, 분석하였다. 이동속도와 복합재료의 강성변화에 따른 상호작용은 적층판의 동적응답에 상당한 영향을 주었다. 본 연구에서 제시한 수치해석 결과는 완전 복합신소재 교량 바닥판의 거동을 이해하고 개발하는데 있어서 기초자료로써 도움이 될 것으로 기대된다.

Keywords

References

  1. 도로교 설계표준시방서 건설교통부
  2. 한국강구조학회논문집 v.15 no.2 3차원 고차이론을 이용한 역대칭 앵글-플라이를 갖는 복합재료 적층판의 굴 및 진동해석 이원홍;한성천;천경식;장석윤
  3. 대한토목학회 학술발표논문집 경량 고내구성 복합소재 교량바닥판의 개발 이성우;이선구;김정현
  4. 대한토목학회논문집 v.20 no.3-A 비등방성 복합 적층판의 고유진동 및 모드특성에 대한 수치비교연구 장석윤;이상열;백한솔
  5. 고강도 복합신소재 교량현장적용 발표회 지효선
  6. 한국강구조학회논문집 v.13 no.1 노후화된 교량 바닥판 대체용 복합재료 교량 바닥판의 거동에 관한 실험적 연구 지효선;손병직;장석윤
  7. 대한토목학회 학술발표논문집 완전 복합신소재교량 상부구조 현장적용 실험연구 지효선;손병직;천경식;장석윤
  8. 유한요소법 최창근
  9. 한국강구조학회논문집 v.14 no.4 대변형 효과를 고려한 비등방성 원통형 쉘의 거동에 관한 연구 천경식;손병직;장석윤
  10. 대한토목학회 논문집 v.23 no.6-A 원형 개구부를 갖는 복합재료 적층구조물의 안정성 평가 천경식;장석윤;신욱범
  11. Journal of Reinforced Plastics and Composites v.8 Design procedures for fiber composite box-beams Chamis, C.C.;Murthy, P.L.N.
  12. Structural Engineering and Mechanics v.11 A direct modification method for strains due to non-conforming modes Choi, C.K.;Chung K.Y.;Lee, T.Y.
  13. Computers & Structures v.42 no.1 A general method to determine the dynamic response of a plate to moving mass Cifuentes, A.;Lalapet, S.
  14. Mechanics of fibrous composites Datoo, M.H.
  15. Vibration of Solids and Structures under Moving Loads Fryba, L.
  16. Computers & Structures v.23 no.3 A family of quadrilateral Mindlin plate elements with substitute shear strain fields Hinton, E.;Huang, H.C.
  17. Composite Structures v.28 Long-term static testing of an FRP prototype highway structure Hollaway, L.;Thorne, A.
  18. Composite Structures v.53 Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory Kant, T.;Swaminathan, K.
  19. Finite Elements in Analysis and Design v.1 A proposed standard set of problems to test finite element accuracy MacNeal, R.H.;Harder, R.L.
  20. ASCE Journal of Structural Engineering v.114 no.8 Dynamic wheel loads from bridge strains O'Connor, C.;Chan, T.H.T.
  21. ASME Journal of Applied Mechanics v.51 A simple higher order theory for laminated composite plates Reddy, J.N.
  22. Applied Mechanics Reviews v.42 no.11 On the generalization of displacement-based laminate theories Reddy, J.N.
  23. Journal of American Helicopter Society Non-classical behaviour of thin walled composite beams with closed cross sections Rehfield, L.W.;Atilgan, A.R.;Hodges, D.H.
  24. International Journal for Numerical Methods in Engineering v.40 Improved transverse shear stresses in composite finite elements based on first order shear deformation theory Rolfes, R.;Rohwer, K.
  25. Computers & Structures v.43 Finite element analysis of highway bridges subjected to moving load Saadeghvaziri, M.A.
  26. ASCE Journal of Structural Engineering v.120 Theoretical and experimental evaluations of FRP components and systems Sotiropoulos, S.N.;Gangarao, H.V.S.;Mongi, A.N.K
  27. Structural Design of Polymer Composite : EUROCOMP Design Code and Handbook
  28. Computers & Structures v.34 Dynamic response of moving loads: finite element method Taheri, M.R.;Ting, E.C.
  29. International Journal for Numerical Methods in Engineering v.10 A non-conforming element for stress analysis Taylor, R.L.;Beresford, P.J.;Wilson, E.L.
  30. Journal of Structural Engineering v.111 no.6 Moment determination for moving load system Wechsler, M.B.
  31. ASME Journal of Applied Mechanics v.37 no.4 Shear deformation in heterogeneous anisotropic plates Whitney, J.M.;Pagano, N.J.
  32. International Journal of Solids and Structures v.23 Analytical, three-dimensional elasticity solutions to some plate problems, and some observations on Mindlin plate theory Wittrick, W.H.
  33. Finite Elements in Analysis and Design v.7 Use of incompatible displacement modes for the calculation of element stiffness or stresses Wilson, E.L.;Ibrahimbegovic, A.
  34. AIAA Journal v.30 no.12 Simplified theory for composite thin-walled beams Wu, X.X.;Sun, C.T.
  35. The Finite Element Method: Basic Formulation and Linear Problems, Vol. I Zienkiewicz, O.C.;Talyor, R.L.