Deformation of rotating two-layer curved composite beams

István Ecsedi,Ákos József Lengyel

doi:10.1515/cls-2019-0015

Abstract

Abstract An analytical solution is presented for the determination of the deformation of rotating two-layer composite beams. The direction of axis of rotation is vertical and the speed of rotation is constant. The axis of rotation is in the plane of symmetry of curved beam. The source of the in-plane deformation is the stationary rotation of the curved beam. The plane of the curvature is the symmetry plane of the curved beam for its material, geometrical and supporting properties. Assumed form of the displacement field meets the prescriptions of the classical Euler-Bernoulli beam theory. Examples illustrate the applications of the presented analytical solution.

Highlights

Rotating curved beams are basic units in many structures and industrial applications
An analytical solution is presented for the determination of the deformation of rotating two-layer composite beams
Nowadays the analysis of curved composite beams is an important topic in the structural mechanics

Summary

Introduction

Rotating curved beams are basic units in many structures and industrial applications. For the solution of static bending problems of layered curved beam Segura and Armengaud gave an analytical method [1]. It must be mentioned that papers by Ecsedi and Lengyel [4, 5] provide analytical solutions for layered curved composite beams with interlayer slip. An analytical solution is presented in [6] for the static problems of curved composite beams. It should be mentioned that several papers deal with the vibration analysis of rotating curved beams. Paper by Chen et al [15] presents a dynamic model of rotating curved beam which is based on the Absolute Nodal Coordinate Formulation and on the radial integration method. In the present paper an analytical solution is formulated for rotating two-layer composite curved beams. The rotary inertia is included in the expression of system of centrifugal forces

Governing equation

Determination of radial displacement and cross-sectional rotation

Rotating half circular two-layer beam with fixed ends

Rotating half circular beam with radially guided ends

Rotating two-layer composite split ring

Conclusions