Simple Elastic Vibration Analysis Model for Free Vibration of A Cylindrical Structure as A Combination of Plates and Straight and Curved Beam

Abstract

This paper presents an analytical model for cylindrical structures. In actual mechanical structures with cylindrical shapes such as railway vehicle carbodies, the vertical relative displacement between the roof and the floor interacts with lateral displacement of the side panels. To treat this interaction simply, the analytical model proposed in this work introduces curved beams whose bending deformation generate relative axial displacement between both ends of the curved beam according to its bending deformation. Roof, floor and side wall is connected to each other by means of artificial springs provided at both ends of the curved beams. Free vibration analysis and the procedure to derive equation of motion based on the energy principle will be presented in the conference.