Natural Frequency of a Rectangular Plate on Non-homogeneous Elastic Foundations

J. Ocean Eng. Technol. 1989;3(2):70-76.

Hwang Ju-Ik,Kim Yong-Cheol,Lee Taek-Sun

비균질 탄성 기초위에 놓여있는 직사각형 평판의 고유 진동수

황주익,김용철,이택순

영남대하교 정밀기계공학과,영남대학교 정밀기계공학과,영남대학교 정밀기계공학과

Keywords: Natural Frequency, Winkler Foundation, Non Homogeneous Foundation, Trial Functions, Rotational Spring, Ritz Method, Galerkin Method

핵심용어: 고유 진동수, 윈클러 형태, 비균질 형태, 시도함수, 회전 스프링, 리쯔방법, 갤러킨 방법

Abstract

The natural frequencies of a rectangular plate on non-homogeneous elastic foundations were obtained by using the Ritz method and Galerkin method. The results of both methods using the different type of trial functions were also compared. Furthermore, the effects of the variation of boundary conditions, the stiffness of the foundation spring, the dimension ratio of the plate were investigated. As a result, the Galerkin method can be used to obtain the accurate solution and can be effectively used to design the foundation bed.