Influence of Boundary Stress Singularities on the Vibration of Clamped and Simply Supported Sectorial Plates With Various Radial Edge Conditions

다양한 방사연단 조건을 갖는 고정 및 단순지지 부채꼴형 평판 진동에 대한 경계응력특이도의 영향

  • 김주우 (서울산업대학교 구조공학과)
  • Received : 1998.09.05
  • Published : 1998.12.30

Abstract

This paper reports the first-of-its-kind free vibration solutions for sectorial plates having re-entrant corners causing stress singularities when the circular edge is either clamped or simply supported. The Ritz method is employed with two sets of admissible functions assumed for the transverse vibratory displacements. Accurate frequencies and normalized contours of the transverse vibratory displacement are presented for the spectra of sector angles.

본 논문은 부채꼴형 평판의 원형연단이 고정되어 있거나 또는 단순지지 되어 있을 때 요각 모서리의 응력 특이도를 고려하여 자유 진동해를 최초로 구한 연구이다. Ritz방법을 이용하여 수직진동변위를 두가지 적합함수식으로 가정하였다. 본 연구에서는 부채꼴형 각도의 범위에 따른 엄밀한 진동수 및 수직진동 변위의 전형적인 등고선을 제시하였다.

Keywords

References

  1. Vibration of Plates, NASA SP-160 Leissa, A.W.
  2. The Shock and Vibration Digest v.9 no.10 Recent research in plate vibrations: classical theory Leissa, A.W.
  3. The Shock and Vibration Digest v.13 no.9 Plate vibration research, 1976-1980: classical theory Leissa, A.W.
  4. The Shock and Vibration Digest v.19 no.2 Recent studies in plate vibrations: 1981-1985. part I. classical theory Leissa, A.W.
  5. ASME Journal of Applied Mechanics v.26 no.1 Note on deflections and flexural vibrations of clamped sectorial plates Ben-Amoz, M.
  6. Journal of Sound and Vibration v.41 no.4 Free vibration of a sectorial plate Bhattacharya, A.P.;Bhowmic, K.N.
  7. Journal of Sound and Vibration v.74 no.4 Experimental investigation of free vibrations of clamped sector plates Maruyama, K.;Ichinomiya, O.
  8. Journal of Sound and Vibration v.149 no.3 Application of the spline element method to analyze vibration of annular sector plates Mizusawa, T.
  9. ASME Journal of Applied Mechanics v.60 Vibration of sectorial plates having corner stress singularities Leissa, A.W.;McGee, O.G.;Huang, C.S.
  10. ASME Journal of Applied Mechanics v.60 Exact analytical solutions for the vibrations of sectorial plates with simply supported radial edges Huang, C.S.;Leissa, A.W.;McGee, O.G.
  11. Journal of Sound and Vibration v.150 no.2 Vibration of thick annular sector plates using semi-analytical methods Mizusawa, T.
  12. ASCE Journal of Engineering Mechanics v.115 no.12 Analytical solution to free vibration of sector plates Harik, I.E.;Molaghasemi, H.R.
  13. Journal of Sound and Vibration v.134 On the free, transverse vibration of annular and circular, thin, sectorial plates subjected to certain complicating effects Kim, C.S.;Dickinson, S.M.
  14. Journal of Sound and Vibration v.161 no.2 Vibrations of circular plates having V-notches or sharp radial cracks Leissa, A.W.;McGee, O.G.;Huang, C.S.
  15. Journal of Sound and Vibration v.181 no.2 Vibrations of circular plates with clamped V-notches or rigidly constrained radial cracks McGee, O.G.;Leissa, A.W.;Huang, C.S.;Kim, J.W.
  16. Proceedings of the First U.S. National Congress of Applied Mechanics Surface stress singularities resulting from various boundary conditions in angular corners of plates under bending Williams, M.L.
  17. Singularities in plate vibration problems Huang, C.S.