Natural Frequencies of a Beam on Inhomogeneous Foundation

J. Ocean Eng. Technol. 1992;6(1):69-77.

비균질 지반위에 놓여있는 보의 고유진동수

김용철

영남대학교 정밀기계공학과

Keywords: Elastic Foundation, Intermediate Supprt, Shock Absorber, Natural Frequency Parameter, Translational Spring, Rotational Spring, Constraint Conditions

핵심용어: 탄성지반, 중간지지점, 흡진기, 고유진동수 인지, 병진 스프링, 회전 스프링, 구속조건

Abstract

The natural frequencies of a beam on elastic foundation are investigated in the present paper. The inhomogeneous elastic foundation can be modelled as a combination of distributed translational spring, rotational spring, intermediate supports and dampers. The natural frequencies and mode shapes of the system are obtained by using the Galerkin's method, and also compared with the results in the literature. Furthermore, the natural frequencies of the beam with elastically mounted masses, which can be used as vibration absorbers, are obtained by an efficient numerical scheme suggested in the present paper.