Supercritical thermal configurations of axially moving timoshenko beams

An exact solution for supercritical thermal configurations of axially moving Timoshenko beams with arbitrary boundary conditions is presented. The geometric nonlinearity and temperature variation of the traveling beams in supercritical regime is considered. Then, the nonlinear buckling problem is solved. A closed-form solution for the supercritical thermal configuration in terms of the axial speed, stiffness and thermal expansion is obtained. Some typical boundary conditions, such as fixed-fixed and pinned-pinned are discussed. More importantly, based on the exact solution, a new anti-symmetric thermal configuration for the fixed-fixed axially moving Timoshenko beams is found. Copyright © 2015 Editorial Department of Journal of Donghua University. All rights reserved.