A STUDY ON THE EIGENFREQUENCIES OF A VIBRATING TWO PARTED BEAM-MASS SYSTEM

Abstract

A mathematical model is established to find the eigenfrequencies of a system which consists of two beam segments connected with each other via a distributed mass. The beam segments are simply supported at their other ends. This model enables one to obtain the frequencies of some special cases like stepped beams and shafts, classical simply supported beams and beams carrying concentrated mass. Furthermore, in order to calculate the fundametal frequency of such a system, an approximate method is given. For this purpose, the deflection equations of the system are also derived in non-dimensional form.

Keywords

• İki parçalı kiriş-kütle sistemi, Doğal frekanslar, Basit mesnetli kiriş, Titreşimleri