John Sirois | Worcester Polytechnic Institute (original) (raw)

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Research paper thumbnail of Flexural–flexural–extensional–torsional vibration analysis of composite spinning shafts with geometrical nonlinearity

Nonlinear Dynamics, Mar 30, 2017

In this paper, nonlinear dynamics of an unbalanced composite spinning shaft are studied. Extensio... more In this paper, nonlinear dynamics of an unbalanced composite spinning shaft are studied. Extensional–flexural–flexural–torsional equations of motion are derived via utilizing the three-dimensional constitutive relations of the material and Hamilton’s principle. The gyroscopic effects, rotary inertia and coupling due to material anisotropy are included, while the shear deformation is neglected. To analyze the rotor dynamic behavior, the full form of the equations without any simplification assumption (e.g., stretching or shortening assumption) is used. The method of multiple scales is applied to the discretized equations. An analytical expression as a function of the system parameters describing the forced vibration of a spinning composite shaft in the neighborhood of the primary resonance is obtained. The discretization is done with both one and two modes, and the results are compared. It is shown that although the excitation is tuned in the neighborhood of the first mode, one-mode ...

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Research paper thumbnail of Flexural–flexural–extensional–torsional vibration analysis of composite spinning shafts with geometrical nonlinearity

Nonlinear Dynamics, Mar 30, 2017

In this paper, nonlinear dynamics of an unbalanced composite spinning shaft are studied. Extensio... more In this paper, nonlinear dynamics of an unbalanced composite spinning shaft are studied. Extensional–flexural–flexural–torsional equations of motion are derived via utilizing the three-dimensional constitutive relations of the material and Hamilton’s principle. The gyroscopic effects, rotary inertia and coupling due to material anisotropy are included, while the shear deformation is neglected. To analyze the rotor dynamic behavior, the full form of the equations without any simplification assumption (e.g., stretching or shortening assumption) is used. The method of multiple scales is applied to the discretized equations. An analytical expression as a function of the system parameters describing the forced vibration of a spinning composite shaft in the neighborhood of the primary resonance is obtained. The discretization is done with both one and two modes, and the results are compared. It is shown that although the excitation is tuned in the neighborhood of the first mode, one-mode ...

Bookmarks Related papers MentionsView impact

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