ارتعاشات آزاد شفت تیموشنکوی کامپوزیتی غیرخطی دوار

Abstract:
Spinning shafts are fundamental elements that have an important role in mechanical systems. In this study, a set of generalized nonlinear equations of motion for Timoshenko composite shafts (spinning beams) is derived using the geometrically exact approach. The equations of motion arederived by energy (Hamilton principle) method. These partial differential equations of motion are discretized by Galerkin method using one and two modes. The free vibration of an orthotropic spinning shaft with hinged-hinged boundary conditions (simply supported BC) is investigated using the multiple-scale method. We find that in the case of two mode discretization, composite couplings can have significant linear and nonlinear effects on the behavior of the shaft and that these effects were not predictable in the classical model. Also, in the investigating of composite layering we find that the effects of the fibers angle as well as the composite couplings can be noticeable, and these effects are greater in cases of the asymmetrical layering.