본문 바로가기
KERD
논문KCI 등재

단면적이 변하는 곡선보의 진동해석

Free Vibration Analysis of Curved Beams with Varying Cross-Section

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

초록

미분구적법을 이용하여 전단변형을 고려하지 않은 단면적이 변하는 곡선 보의 면내 자유진동을 해석하였다. 다양한 경계조건 및 굽힘 각에 따른 진동수를 계산하였고, 그 결과를 다른 수치해석들과 비교하였다. 미분구적법은 비교적 적은 요소를 사용하고도 정확한 해석결과를 보여주었고, 수정된 결과를 추가적으로 제시하였다.

Abstract

The differential quadrature method(DQM) is applied to the free in-plane vibration analysis of circular curved beams with varying cross-section neglecting transverse shearing deformation. Natural frequencies are calculated for the beams with various opening angles and end conditions. Results obtained by the DQM are compared with available results by other methods in the literature. It is found that the DQM gives good accuracy even with a small number of grid points. In addition, the corrected results are given for the beams not previously presented for this problem.

참고문헌 (16)

  1. Archer, R.R., "Small Vibration of Thin Incomplete Circular Rings", International Journal of Mechanical Sciences, 1, pp.45~56 (1960)
  2. Auciello, N.M., "Free Vibrations of Circular Arches: A Review", Journal of Sound and Vibration, 176, pp.433~458 (1994)
  3. Bell, R.E,, "Differential Quadrature and Long-term Integration", Journal of Mathematical Analysis and Application, 34, pp.235~238 (1971)
  4. Den Hartog, J.P., "The Lowest Natural Frequency of Circular Arcs", Philosophical Magazine, 7(5), pp.400~408 (1928)
  5. Farsa, J., "Fundamental Frequency of Laminated Rectangular Plates by Differential Quadrature Method", International Journal for Numerical Methods in Engineering, 36, pp.2341~2356 (1993)
  6. Hamming, R.W., "Numerical Methods for Scientists and Engineers, 2nd Edition" (1973), McGraw-Hill Book Co.
  7. Hoppe, R., "The Bending Vibration of a Circular Ring", Crelle's Journal of Mathematics, 73, pp.158~170 (1871)
  8. Jang, S.K., "Application of Differential Quadrature to Static Analysis of Structural Components", International Journal for Numerical Methods in Engineering, 28, pp.561~577 (1989)
  9. Kang, K., "Analysis of a Curved Beam Using Classical and Shear Deformable Beam Theories", KSME International Journal, 12, pp.244~256 (1998)
  10. 강기준, "전단변형이론 및 미분구적법을 이용한 곡선보의 면외 진동해석", 한국전산구조공학회논문집, 20(4), pp.417~425 (2007), 한국전산구조공학회
  11. 김진곤, "곡선보의 자유진동해석을 위한 고차 혼합요소", 한국전산구조공학회논문집, 19(2), pp.151~160 (2006), 한국전산구조공학회
  12. Kukreti, A.R., "Fundamental Frequency Tapered Plates by Differential Quadrature", Journal of Engineering Mechanics, 118, pp.1221~1238 (1992), ASCE
  13. Lamb, H., "On the Flexure and Vibrations of a Curved Bar", Proceedings of the London Mathematical Society, 통권 : 19, pp.365~376 (1888)
  14. Love, A.E.H., "A Treatise of the Mathematical Theory of Elasticity, 4th Edition" (1944), Dover Publications
  15. Nelson, F.C., "In-Plane Vibration of a Simply Supported Circular Ring Segment", International Journal of Mechanical Science, 4, pp.517~527 (1962)
  16. Volterra, E., "Lowest Natural Frequency of Elastic Arc for Vibrations outside the Plane of Initial Curvature", Journal of Applied Mechanics, 28, pp.624~627 (1961), ASME

관련 논문AI추천

이 간행물의 다른 논문 (12건)