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In this paper, the combination resonance of a spinning composite shaft with geometric nonlinearity is studied by the method of harmonic balance. The full equations of motion containing the flexural–flexural–extensional–torsional coupling are employed for the analysis. The equations were discretized by both one and two modes, so two different forms of combination resonances can be analyzed. The shear...
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...
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