Vibration Analysis of Special Orthotropic Laminated Composite Plates under Axial Loadings

축방향 하중을 받는 특별직교이방성 적층복합판의 진동해석

  • 원치문 (한라대학교 토목공학과)
  • Received : 2005.10.15
  • Accepted : 2006.02.10
  • Published : 2006.02.27


A simple but precise method of calculating the natural vibration frequencies of composite laminated plates with all-simple support and under axial loadings is presented herein. This method uses deflection influence surfaces, which can be obtained by any method for vibration analysis and member due to the inertia force under resonance condition. Beginning with an initially guessed mode shape, the exact mode shape is obtained by the process similar to iteration. In this paper, equations are given for the case of special orthotropic laminates. The same equations, however, can be used for any laminate as long as ${B_1_6}$, ${B_2_6}$, ${D_1_6}$, and ${D_2_6}$ are negligible as the number of plies increases. Some laminates that possess such properties are presented in the paper.


  1. 원치문(2002) 다양한 경계조건을 갖는 복합적층판의 간편한 고유 진동수 해석방법, 한국강구조학회 논문집, 제14권, 1호, pp. 23-29
  2. Kim, D. H.(1974) A method of vibration analysis of irregularly shaped structural elements, International Symposium on Engineering Problems in Creating Coastal Industrial Sites, Seoul, Korea, pp. 39-63
  3. Kim, D. H., Hwang, J. W., Chun, D. S.(1989) A simple method of vibration analysis of irregularly shaped composite structural elements, 1st Japan Int'l SAMPE Symposium, Nov.28-Dec.1, pp. 863-68
  4. Kim, D. H., Hwang, J. W., Chun, D. S.(1990) Vibration analysis of irregularly shaped composite structural members-for higher modes, 8th Structural Congress, American Society of Civil Engineers, Baltimore, MD, U.S.A., Apr.30-Mar.3, pp. 63-4
  5. Kim, D. H.(1991) Vibration analysis of irregularly shaped laminated thick composite plates, ICCM 8, Honolulu, Hawaii, July, pp. 30-J
  6. Kim, D. H., Park, J. S., Kim, K. J.(1991) Vibration analysis of irregularly shaped laminate thick composite plate II, 2nd Japan International SAMPE Symposium and Exhibition, Dec., pp. 1310-17
  7. Kim, D. H.(1995) Composite structures for civil and architectural engineering, Published by E&FN SPON, Chapman & Hall, London
  8. Whitney, J.E., Leissa, A.W.(1969) Analysis of heterogeneous anisotropic plates, J. Appl. Mech. Am. Soc. Mech. Engrs, 28, June, pp. 261-266