A semi-analytic strategy for the system-level modelling of flexibly supported ball bearings

Fiszer, Jakob; Tamarozzi, Tommaso; Desmet, Wim

doi:10.1007/s11012-015-0318-6

Cited by 11 publications

(8 citation statements)

References 17 publications

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“…The interpolation of these displacement modes is based on the parameter(s) describing the rigid-body configuration of the multibody system. In the field of bearing analysis, Fiszer et al [8] proposes to combine the aforementioned PMOR technique with a semi-analytic contact model similar to the one described in [1]. The total deformation is separated in the global deformation of the rings and their support, represented by a parametrically reduced order model, and the non-linear local Hertzian deflections at the contact zone.…”

Section: Flexible Multibody Models For Gear Contact Problemsmentioning

confidence: 99%

Semi-analytic contact technique in a non-linear parametric model order reduction method for gear simulations

et al. 2017

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In this work we present a novel method for the solution of gear contact problems in flexible multibody. These problems are characterized by significant variation in the location and size of the contact area, typically requiring a high number of degrees of freedom to correctly capture deformation and stress fields. Therefore fully dynamic simulation is computationally prohibitive. To overcome these limitations, we exploit a combined analytic-numerical contact model within a Parametric Model Order Reduction (PMOR) scheme. The reduction space consists of a truncated set of eigenvectors augmented with a parameter dependent set of residual static shape vectors. Each static shape is computed by interpolating among a set of displacement modes of the interacting bodies, obtained from a series of precomputed static contact analyses. During the contact analyses, an analytic model based on the Hertz theory describes the teeth local deformation. We implement the proposed method in an in-house code and we apply it to spur and helical gears dynamic contact analyses. We compare the results with classical PMOR schemes highlighting how the combined use of the semianalytic contact model allows to decrease further the model complexity as well as the computational burden, for both static and dynamic cases. Finally, we validate the methodology by means of a comparison with experimental data found in literature, showing that the numerical method is able to capture quantitatively the static transmission error measurements in case of both helical and spur geared transmission for different torque levels.

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Section: Flexible Multibody Models For Gear Contact Problemsmentioning

confidence: 99%

Semi-analytic contact technique in a non-linear parametric model order reduction method for gear simulations

et al. 2017

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“…For instance, the already reduced model could be further reduced by a modal truncation approach, as followed by Novotny [17] for elastic journal bearings. In addition, a load dependent approach by using free interface normal modes and attachment modes could have been followed (see [18][19][20]). …”

Section: Reduction Methodologymentioning

confidence: 99%

Full Dynamic Ball Bearing Model with Elastic Outer Ring for High Speed Applications

Wagner¹,

Krinner²,

Thümmel³

et al. 2017

Lubricants

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Ball bearings are commonly used in high speed turbomachinery and have a critical influence on the rotordynamic behavior. Therefore, a simulation model of the bearing to predict the dynamic influence is essential. The presented model is a further step to develop an accurate and efficient characterization of the ball bearing's rotor dynamic parameters such as stiffness and deflections as well as vibrational excitations induced by the discrete rolling elements. To make it applicable to high speed turbomachinery, the model considers centrifugal forces, gyroscopic effects and ball spinning. The consideration of an elastic outer ring makes the bearing model suitable for integrated lightweight bearing constructions used in modern aircraft turbines. In order to include transient rotordynamic behavior, the model is built as a full dynamic multibody simulation with time integration. To investigate the influence of the elasticity of the outer ring, a comparison with a rigid formulation for several rotational speeds and loads is presented.

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“…The first approach combines the finite-element method with semi-analytic results from classic contact theory to eliminate the need for highly refined finite-element meshes in the zone of contact (Andersson and Vedmar, 2003;Vijayakar, 1991). The second approach reduces the number of degrees of freedom in the finite-element models by applying model-order-reduction techniques that are specifically tailored toward dynamic contact problems (Blockmans et al, 2015;Fiszer et al, 2016). Given the complexity of these methods, however, the usage of finite-element-method-based techniques to model gears and bearings in system-level drivetrain simulations remains largely restricted to the preprocessing phase of the simulation or limited to static simulations.…”

Section: Modeling and Analysismentioning

confidence: 99%

Wind turbine drivetrains: state-of-the-art technologies and future development trends

et al. 2022

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Abstract. This paper presents the state-of-the-art technologies and development trends of wind turbine drivetrains – the system that converts kinetic energy of the wind to electrical energy – in different stages of their life cycle: design, manufacturing, installation, operation, lifetime extension, decommissioning and recycling. Offshore development and digitalization are also a focal point in this study. Drivetrain in this context includes the whole power conversion system: main bearing, shafts, gearbox, generator and power converter. The main aim of this article is to review the drivetrain technology development as well as to identify future challenges and research gaps. The main challenges in drivetrain research identified in this paper include drivetrain dynamic responses in large or floating turbines, aerodynamic and farm control effects, use of rare-earth material in generators, improving reliability through prognostics, and use of advances in digitalization. These challenges illustrate the multidisciplinary aspect of wind turbine drivetrains, which emphasizes the need for more interdisciplinary research and collaboration.

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A semi-analytic strategy for the system-level modelling of flexibly supported ball bearings

Cited by 11 publications

References 17 publications

Semi-analytic contact technique in a non-linear parametric model order reduction method for gear simulations

Semi-analytic contact technique in a non-linear parametric model order reduction method for gear simulations

Full Dynamic Ball Bearing Model with Elastic Outer Ring for High Speed Applications

Wind turbine drivetrains: state-of-the-art technologies and future development trends

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