Continuous model applied to multi-disk and multi-bearing rotors

Mereles, Arthur; Alves, Diogo Stuani; Cavalca, Kátia Lucchesi

doi:10.1016/j.jsv.2022.117203

Cited by 7 publications

(2 citation statements)

References 41 publications

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“…The system has a total length of L = 2.5 m, weights W r = 17.94 kN and is discretized torsional and axial movements are ignored. The details of the mesh can be consulted in [44] or [45]. The rotor has four rigid disks positioned at nodes 12, 15, 17 and 19; and two bearings at nodes 6 and 23.…”

Section: Complex Rotor Systemmentioning

confidence: 99%

Bifurcations and limit cycle prediction of rotor systems with fluid-film bearings using Spectral Submanifolds

Mereles

Alves

Cavalca

2023

Preprint

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Many rotating machines utilize a fluid type bearing. Despite their reliability and high load capacity, these bearings often show instabilities due to the interaction between the fluid media and the rotating shaft. These instabilities, known as oil-whirl and oil-whip, occur due to a Hopf bifurcation; being the parameter the shaft speed. Identifying the type of bifurcation, either sub-critical or super-critical, is an important task to determine the safety of the machines near the instability speed. This work presents an approach, labeled Center Spectral Submanifold (CSSM), to obtain limit cycles near Hopf bifurcations of rotors supported on fluid-film bearings. The basis of the method is the obtention of the center manifold of the system, which allows one to assess the type of bifurcation at hand. The CSSM is based on the idea of Spectral Submanifolds (SSMs) and the parameterization method, and it's a powerful tool to analyze the bifurcation of high-dimensional rotor systems. The method is evaluated by comparing its results with an open-source numerical continuation package (MATCONT) in two systems: a simple and a realistic rotor system. The results show that the CSSM can be used reliably to learn if the rotor system presents sub- or super-critical bifurcations, to perform parametric studies with different bearing properties and also to predict the amplitude of the limit cycles.

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Section: Complex Rotor Systemmentioning

confidence: 99%

Bifurcations and limit cycle prediction of rotor systems with fluid-film bearings using Spectral Submanifolds

Mereles

Alves

Cavalca

2023

Preprint

Self Cite

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“…Thus, each node has 4 DOFs, being two translations and two rotations. The mesh data can be consulted in [52] or [53] The foundation consist of a steel plate of size 120 × 1200 × 3000 mm 3 , weighting W f = 33.27 kN. It is modeled using 3D linear hexahedral elements, with 8 nodes per element and 3 DOFs per node (three translations in x, y and z) [54].…”

Section: Realistic Rotor-foundation Systemmentioning

confidence: 99%

Model reduction of rotor-foundation systems using the approximate invariant manifold method

2023

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This work presents a model reduction method suited for performing nonlinear dynamic analysis of highdimensional rotor-foundation systems modeled by the finite element method. The approach consists in combining the Component Mode Synthesis (CMS) method with the Approximate Invariant Manifold Method (AIMM), and allows the obtention of forced responses through the integration of a single pair of ordinary differential equations. The proposed approach is tested using two examples: a simple and a complex rotor-foundation system. In both cases, the nonlinearity comes from the fluid-film bearings. The results show that the method can provide a significant reduction in numerical cost while still retaining good accuracy when compared with direct time integrations. By means of the proposed method, the nonlinear dynamic analysis of high-dimensional rotor-foundation system becomes a feasible option.Keywords Model reduction method • Nonlinear analysis • Rotor-foundation systems • Approximate invariant manifold method • Component mode synthesis • Fluid-film bearings. IntroductionThe complexity of rotating machines makes their design and analysis a challenging subject. One of several complicating factors is the interaction between the rotor and its supporting structure. This interaction has been shown to affect

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Bifurcations and limit cycle prediction of rotor systems with fluid-film bearings using center manifold reduction

2023

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Continuous model applied to multi-disk and multi-bearing rotors

Cited by 7 publications

References 41 publications

Bifurcations and limit cycle prediction of rotor systems with fluid-film bearings using Spectral Submanifolds

Bifurcations and limit cycle prediction of rotor systems with fluid-film bearings using Spectral Submanifolds

Model reduction of rotor-foundation systems using the approximate invariant manifold method

Bifurcations and limit cycle prediction of rotor systems with fluid-film bearings using center manifold reduction

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