Out-of-plane Structural Intensity Analysis of Rectangular Thick Plate

doi:2012.26.4.42

J. Ocean Eng. Technol. > Volume 26(4); 2012 > Article

J. Ocean Eng. Technol. 2012;26(4):42-49.
DOI: https://doi.org/10.5574/KSOE.2012.26.4.042

Kim Kook-Hyun,Cho Dae-Seung

Department of Naval Architecture Tongmyong University,Department of Naval Architecture and Ocean Engineering Pusan National University

직사각형 후판의 면외 진동인텐시티 해석

김국현,조대승

동명대학교 조선공학과,부산대학교 조선해양공학과

Keywords: Structural intensity, Out-of-plane vibration, Rectangular thick plate, Assumed mode method, Lagrange's equation, Timoshenko beam function

핵심용어: 진동인텐시티, 면외진동, 직사각형 후판, 모드가정법, 라그랑지 방정식, 티모센코 보함수

Abstract

A numerical method is presented for an out-of-plane structural intensity analysis of rectangular thick plates with arbitrary elastic edge constraints. The method adapts an assumed mode method based on Timoshenko beam functions to obtain the velocities and internal forces needed for a structural intensity analysis. To verify the presented method, the structural intensity of a square thick plate under harmonic force excitation, for which four edges are simply supported, is analyzed, and the result is compared with existing solutions using the assumed mode method based on trigonometric functions. In addition, numerical analyses are carried out for a rectangular-shaped thick plate under harmonic force excitations, of which three edges are simply supported and one edge utilizes an arbitrary elastic edge constraint. These numerical examples show the good accuracy and applicability of the presented method for rectangular thick plates with arbitrary edge constraints.