Processing the numerical solution for the nonlinear spinning shaft using the Time- (Proper Orthogonal Decomposition) transform identifies the coupling between the rigid body motion and deformation as well as the coupling between the deformation modes. Laying on the fact that the POD characterizes the motion into set of optimum coupled modes, it is convenient to relay on them to derive nonlinear reduced order models. In this work, the discrete dynamics of nonlinear spinning shaft are processed using the POD method to produce optimum modes that are used to furnish bases to derive nonlinear coupled reduced model. The derived reduced model is tested at several operational conditions and compared to the full model characteristics. The reduced model produces back the dynamics; captures the natural frequencies and whirling.

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Posted 12 Mar, 2021
Posted 12 Mar, 2021
Processing the numerical solution for the nonlinear spinning shaft using the Time- (Proper Orthogonal Decomposition) transform identifies the coupling between the rigid body motion and deformation as well as the coupling between the deformation modes. Laying on the fact that the POD characterizes the motion into set of optimum coupled modes, it is convenient to relay on them to derive nonlinear reduced order models. In this work, the discrete dynamics of nonlinear spinning shaft are processed using the POD method to produce optimum modes that are used to furnish bases to derive nonlinear coupled reduced model. The derived reduced model is tested at several operational conditions and compared to the full model characteristics. The reduced model produces back the dynamics; captures the natural frequencies and whirling.

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8
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