한국구조물진단유지관리공학회 논문집 (Journal of the Korea institute for structural maintenance and inspection)

  • 제17권3호
  • /
  • Pages.20-27
  • /
  • 2013
  • /
  • 2234-6937(pISSN)
  • /
  • 2287-6979(eISSN)
한국구조물진단유지관리공학회 (Korea Institute for Structural Maintenance Inspection)
권호 표지
DOI QR코드

DOI QR Code

복합신소재구조물의 고유진동수에 대한 하중크기의 영향

The Influence of the Loading Sizes on Natural Frequency of the Advanced Composite Material Structures

  • 한봉구 (서울과학기술대학교 건설시스템디자인공학과)
  • 투고 : 2013.01.18
  • 심사 : 2013.03.21
  • 발행 : 2013.05.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 고유진동수를 구하기 Simple Iteration Method을 제시하였다. 이 방법은 임의의 단면과 지점을 갖고 임의의 하중을 받는 보나 탑의 진동모드와 관련된 고유진동수를 간편하면서도 정확하게 계산할 수 있는 획기적인 방법이다. 이 방법에는 공진상태에서 관성력에 기인한 부재의 처짐 모드를 구하게 된다. 진동해석을 위하여 처짐의 영향을 고려한 다양한 방법이 검토되었다. 이러한 목적으로 본 논문에서는 유한차분법을 사용하였다. 고유진동수에 대한 $D_{22}$ 휨강성의 영향을 철저하게 검토하였다. 본 논문에서는 구조 요소의 하중 분포 또는 상이한 단면에 따른 고유진동수에 대한 영향을 연구하였으며 그 결과를 제시하였다. 이 방법은 첨단복합재료를 포함한 2차원 문제에도 적용할 수 있다.

Simple Iteration Method for calculating the natural frequency is presented in this paper. This method is simple but exact method of calculating natural frequencies corresponding to the modes of vibration of beams and tower structures with irregular cross sections and arbitrary boundary conditions. This method consists of determining the deflected mode shape of the member due to the inertia force under resonance condition. Finite difference method is used for this purpose. The influence of the $D_{22}$ stiffness on the natural frequency is rigorously investigated. In this paper, the influence of the loading sizes, different cross section on the natural frequency of vibration of some structural elements is presented. This method extends to two dimensional problems including advanced composite material structures.

키워드

참고문헌

  1. Ashton, J. E., "Anisotropic Plate Analysis- Boundary Condition", J. of Composite Materials, 1970, pp.162-171.
  2. Clough, R. W. and Penzien, J., "Dynamics of Structures", McGraw-Hill, Inc., N. Y., 1995.
  3. Han, B. K., Kim, D. H., "Size Effects in the Failure of Simple Supported Sandwich Slab Bridges", Journal of the Korea Institute for Structural Maintenance and Inspection, vol. 14, No. 3, 2010, pp.84-92. (in Korean)
  4. Han, B. K., Kim, D. H., "Analysis of Prestressed Concrete Slab Bridge by Beam Theory", Journal of the Korea Institute for Structural Maintenance and Inspection, vol. 7, No. 2, 2003, pp.115-124. (in Korean)
  5. Han, B. K., Kim, D. H., "Analysis of Reinforced Concrete Slab Bridge by Simple Method", Journal of the Korea Institute for Structural Maintenance and Inspection, vol. 7, No. 4, 2003, pp.110-118. (in Korean)
  6. Han, B. K., Kim, D. H., "Simple Method of Vibration Analysis of Elastic Supported Three Span Reinforced Concrete Bridge", Journal of The Korea Society for Composite Materials, vol. 17, No. 3, 2004, pp.23-28.
  7. Kim, D. H., "Composite Structures for Civil and Architectural Engineering", E&FN SPON, Chapman & Hall, London, 1995.
  8. Kim, D. H., "Simple Method of Analysis for Preliminary Design of Certain Composite Laminated Primary for Civil Construction II", Journal of Material Technology, Elsevier, London, 1993.
  9. Kim, D. H., Han, B. K., Lee, J. H., Hong, C. W., "Simple Methods of Vibration Analysis of Three Span Continuous Reinforced Concrete Bridge with Elastic Intermediate Supports", Proceeding of the Advances in Structural Engineering and Mechanics, Seoul, vol. 2, 1999, pp.1279-1284.
  10. Kim. D. H., "A Method of Vibration Analysis of Irreqularly Shaped Structural Members", Proceedings, International Symposium on Engineering Problems in Creating Coastal Industrial Sites, Seoul, Korea, October, 1974.
  11. Pagano, N. J., "Exact Solution for Rectangular Bidirectional Composites and Sandwich Plates", Journal of Composites Materials, vol. 4, No. 1, 1970, pp.20-34. https://doi.org/10.1177/002199837000400102
  12. Stephen P. Timoshenko and S. Woinowsky-krieger, "Theory of Plates and Shells, Second Edition", Mcgraw Hill Book Co, 1989.
  13. Whitney, J. M. and Leissa, A. W., "Analysis of a Simply Supported Laminated Anisotropic Rectangular Plate", J. of AIAA, vol. 8, No. 1, 1970, pp.28-33. https://doi.org/10.2514/3.5601