Browse > Article

Vibration Analysis of Thick Orthotropic Plates Using Mindlin Plate Characteristic Functions  

LEE JONG-MOON (Hyundai Heavy Industries Co. Ltd.)
Publication Information
Journal of Ocean Engineering and Technology / v.17, no.3, 2003 , pp. 21-26 More about this Journal
Abstract
An iteractive Kantorovich method is presented for the vibration analysis of rectangular orthotropic thick plates. Mindlin plate characteristic functions are derived in general forms using the Kantorovich method. Initially, Timoshenko beam functions consistent with the boundary conditions of the plate were used. Through numerical calculations of natural fairs of appropriate models, it has been confirmed that the method presented is superior to the Rayleigh-Ritz analysis or the finite element analysis in both accuracy and computational efficiency.
Keywords
Mindlin Plate Characteristic Function Mindlin판 특성함수;Iterative Kantorovich Method 반복적 Kantorovich 방법;Vibration Analysis 진동해석;Orthotropic Thick Plate 직교이방성 후판;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Kantorovich, L.V. and Krylov, V.I. (1964). Approximate Methods of Higher Analysis, P. Noordhoff Ltd., Groningen, The Netherlands
2 Chung, J.H., Joo, W.H. and Kim, K.C. (1993). "Vibration and Dynamic Sensitivity Analysis of a Timoshenko Beam_Column with Elastically Restrained Ends and Intermediate Constraints", Journal of Sound and Vibration, Vol 167, No 2, pp 209-221   DOI   ScienceOn
3 이종문 (1995). Mindlin판 특성함수를 이용한 직사각형 후판 및 복합재료적층판의 진동해석, 서울대학교 대학원 박사학위 논문
4 Srinivas, S. and Rao, A.K. (1970). "Bending, Vibration and Buckling of Simply Supported Thick Orthotropic Rectangular Plates and Laminates", International Journal of Solids and Structures, Vol 6, pp 1463-1481   DOI   ScienceOn
5 Lee, J.M. and Kim, K.C. (1995). "Vibration Analysis of Rectangular Isotropic Thick Plates using Mindlin Plate Characteristic Functions", Journal of Sound and Vibration, Vol 187, No 5, pp 865-877   DOI   ScienceOn
6 Bhat, R.B., Singh, J. and Mundkur, G. (1993), "Plate Characteristic Functions and Natural Frequencies of Vibration of Plates by Iterative Reduction of Partial Differential Equation", Journal of Vibration and Acoustics, ASME, Vol 115, pp 177-181   DOI   ScienceOn
7 Chung, J.H., Chung, T.Y. and Kim, K.C. (1993). "Vibration Analysis of Orthotropic Mindlin Plates with Elastically Restrained against Rotation", Journal of Sound and Vibration, Vol 163, No 1, pp 151-163   DOI   ScienceOn
8 Dawe, D.J. and Roufaeil, O.L (1980). "Rayleigh-Ritz Vibration Analysis of Mindlin Plates", Journal of Sound and Vibration, Vol 69, No 3, pp 345-359   DOI   ScienceOn
9 김극천, 한성용, 정정훈 (1987). "유공 직사각형 보강판의 진동해석", 대한조선학회지 논문집, 제24권, 제3호, pp 35-42