Simple Method of Vibration Analysis of Three Span Continuous Composite Slab Bridges with Elastic Intermediate Supports

탄성지지된 3경간 연속 복합슬래브교량의 간단한 진동해석

  • 한봉구 (서울산업대학교 구조공학과) ;
  • 김덕현 (서울산업대학교 구조공학과)
  • Received : 2005.01.03
  • Accepted : 2005.05.25
  • Published : 2005.06.27

Abstract

The specially orthotropic plate theory is used to analyse three-span continuous composite slab bridges with elastic intermediate supports. A method of calculating the natural frequency corresponding to the first mode of vibration of beams and tower structures, with irregular cross sections and with arbitrary boundary conditions, was developed and the result of application of this method to the three-span continuous composite slab bridges with elastic intermediate supports is presented. This type of bridge represents either concrete or sandwich type three-span bridge on polymeric supports for passive control or on actuators for active control. Any method may be used to obtain the deflection influence surfaces needed for this vibration analysis. The finite difference method is used for this purpose in this paper. The influence of flexural stiffnesses and the modulus of the foundation are studied.

본 연구에서는 3경간연속 탄성지지된 복합슬래브교량을 특별직교이방성 판이론을 응용하여 해석하였다. 불균등단면이나 임의의 경계조건을 가진 보나 타워구조물의 고유진동수를 계산하는 방법을 탄성지지된 3경간 연속 복합슬래브교량에 적용하여 연구하였다. 슬래브 상판은 특별직교이방성 판으로 취급하였다. 진동해석에 필요한 변위의 영향계수는 여러 가지 방법으로 구할 수 있으나 본 논문에서는 유한차분법을 사용하였다. 또한 휨강성에 대한 영향과 기초의 탄성계수에 대한 영향에 대하여 연구하였다.

Keywords

Acknowledgement

Supported by : Seoul National University of Technology

References

  1. Kim, D. H. (1966) Analysis of Triangulary Folded Plate Roofs of Umbrella Type, Proc., 16th Congress of Applied Mechanics, Tokyo, Japan
  2. Kim, D. H. (1967), The Effect of Neglecting the Radial Moment Terms in Analyzing a Finite Sectorial Plate by Means of Finit Differences, Proc., International Symposium on Space Technology and Sciences, Tokyo, Japan
  3. Kim, D. H. (1967) Tridiagonal Scheme to Solve Super Large Size Matrices by the use of Computer, Journal or Korean Society of Civil Engineers (K.S.C.E.)., Vol 15-1
  4. Kim, D. H. (1974), Method of Vibration Analysis of Irregularly Shaped Structural Members, Proceedings, Interna-tional Symposium on Engineering Problems in Creating Coastal Industrial Sites, Seoul, Korea
  5. Kim, D. H. (1995) A Simple Method of Analysis for the Preliminary Design of Particular Composite Laminated Primary Structures for Civil Construction, Journal of Material Processing Technology Vol. 55, Elsevier, London, 1995, pp 242-248 https://doi.org/10.1016/0924-0136(95)02013-6
  6. Kim, D. H.(1995) Composite Structures for Civil and Architectural Engineering, E & FN SPON, Chapman & Hall, London, 1995
  7. Kim, D. H.(1996) Vibration Analysis of Special Orthotropic Plate with Variable Cross-Section, and with a Pair of Opposite Edges Simple Supported and the Other Pair of Opposite Edges Free, Proc. of Materials Congress, American Society of Civil Engineering, Washington, DC, November 10-14
  8. Clough, R. W. & Penzien, J.(1995), Dynamics of Structures, McGraw-Hill, Inc., 1995, pp 129-142
  9. Han, B.K., Kim, D.H. (2001) The Effect of Neglecting The Longitudinal Moment Terms in Analyzing [90, 0, 90]r Type Laminates With Increasing Aspect Ratio Journal of Korean Society of Steel Construction, Vol 13 , No. 1, pp53-60
  10. Han, B.K., Kim. D.H. (2001) Analysis of Steel Bridges by means of Specially Orthotropic Plate Theory Journal of Korean Society of Steel Construction, Vol 13 , No. 1, pp61-69