Vibration Analysis of Thick Orthotropic Plates Using Mindlin Plate Characteristic Functions

J. Ocean Eng. Technol. 2003;17(3):21-26.

LEE JONG-MOON;

Hyundai Heavy Industries Co. Ltd.;

Mindlin판 특성함수를 이용한 직교이방성 후판의 진동해석

이종문;

현대중공업(주) 선박해양연구소;

핵심용어: Mindlin Plate Characteristic Function Mindlin판 특성함수, Iterative Kantorovich Method 반복적 Kantorovich 방법, Vibration Analysis 진동해석, Orthotropic Thick Plate 직교이방성 후판

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.