Primary Resonance of Nonlinear Spinning Timoshenko Shaft Based on a Novel Third-order Approximation Model Derived from Geometrically Exact Nonlinear Model
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引用次数: 0
Abstract
In this paper, a set of generalized nonlinear equations of motion for spinning Timoshenko shafts is derived using the concept of a geometrically exact approach. In order to investigate the primary resonance of the shaft, the multiple scale method is applied to the discrete equations of motion. In this study, the effects of shear deformation, rotary inertia, gyroscopic terms, and linear damping were considered. To show the advantages of the Timoshenko models, a comparison is made between the results of Timoshenko and classical models. As a result, it can be seen that in the Timoshenko model, the amplitude of the vibration is directly related to the slenderness ratio of the shaft. Also, linear and nonlinear shear terms can affect the primary resonance of spinning shafts and their effects are more noticeable in higher vibrational modes.
期刊介绍:
Transactions of Mechanical Engineering is to foster the growth of scientific research in all branches of mechanical engineering and its related grounds and to provide a medium by means of which the fruits of these researches may be brought to the attentionof the world’s scientific communities. The journal has the focus on the frontier topics in the theoretical, mathematical, numerical, experimental and scientific developments in mechanical engineering as well
as applications of established techniques to new domains in various mechanical engineering disciplines such as: Solid Mechanics, Kinematics, Dynamics Vibration and Control, Fluids Mechanics, Thermodynamics and Heat Transfer, Energy and Environment, Computational Mechanics, Bio Micro and Nano Mechanics and Design and Materials Engineering & Manufacturing.
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