Modeling and structural analysis of planetary gear of a wind turbine

Mohsine, Abdellah; Boudi, El Mostapha; Marjani, Abdellatif El

doi:10.1109/irsec.2016.7984039

Cited by 6 publications

(3 citation statements)

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“…[F] denotes the force exerted on each DOF presented in Equation (12). Vector q is composed of the displacement of each component of the system, as expressed in Equation (11).…”

Section: Multi-scale Analysis Of Lateral-torsion-coupling Dynamics Of...mentioning

confidence: 99%

“…Various modal analysis techniques are extensively employed to investigate the dynamic properties of a structure by extracting modal parameters in Mbarek et al [11], where, in their study, they offer a comparative analysis of an experimental modal analysis test where an Operational Modal Analysis (OMA) test and an Order-based Modal Analysis (OBMA) test are applied to a recirculating energy PGT system. Modal and response harmonic analyses were conducted using ANSYS Workbench in reference [12] to explore the behavior of structures under varying boundary conditions. Their analysis technique provides insights into the eigenfrequencies and mode shape behavior of the structures, as well as their dynamic responses when subjected to harmonic excitations.…”

Section: Introductionmentioning

confidence: 99%

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A Comparative Analysis of Multi-Scale and Rayleigh Approaches in Capturing Eigenfrequencies and Mode Shape Evaluation in Planetary Gear Transmission Systems of Medium and Heavy Trucks

Mabrouk,

Gao,

Yan

et al. 2024

Machines

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Within planetary gear transmissions (PGTs), mode shapes and eigenfrequencies hold a crucial significance in operational reliability and efficacy. Mode shapes explain the unique motion patterns inherent in PGT systems. Conversely, eigenfrequencies describe the inherent frequencies at which PGT systems undergo vibration or oscillation upon exposure to external forces or disruptions. This research paper presents a comprehensive investigation into the dynamic behavior of a three-stage PGT utilized in medium and heavy trucks. This study introduces the Rayleigh energy method to assess system dynamics, revealing a bounded Rayleigh quotient related to the highest related eigenvalue. Then, this study delves into eigenfrequencies and the mode shape behavior of the adopted PGT model. The eigenfrequencies are identified as encompassing diverse vibrational modes of central components and planet gears. Moreover, a multi-scale analysis of the adopted PGT model is presented by deriving matrices for mass, bearing stiffness, and mesh stiffness. Comparisons with the Rayleigh energy method demonstrate the new approach’s efficiency, exhibiting a low margin of error in the determination of eigenfrequencies. This investigation also highlights the alignment of identified mode shapes with the established literature, detailing the multi-scale approach’s minor deviation in mode shape determination compared to the Rayleigh energy method.

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“…[F] denotes the force exerted on each DOF presented in Equation (12). Vector q is composed of the displacement of each component of the system, as expressed in Equation (11).…”

Section: Multi-scale Analysis Of Lateral-torsion-coupling Dynamics Of...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Comparative Analysis of Multi-Scale and Rayleigh Approaches in Capturing Eigenfrequencies and Mode Shape Evaluation in Planetary Gear Transmission Systems of Medium and Heavy Trucks

Mabrouk,

Gao,

Yan

et al. 2024

Machines

View full text Add to dashboard Cite

show abstract

“…The need of providing direct and accurate dynamic planetary gear models is therefore becoming more and more important, in order to investigate the system behavior in all its aspects. In [1], the authors mainly focus on the design part of planetary gear systems. In [2], the authors propose the usage of the lumped parameter dynamic model for modeling planetary gears; whereas in [3], the authors model the rigid gear subsystem, composed of a sun gear, the planet gears and a planet carrier, by using a lumped parameter model, and the elastic ring gear subsystem by using a finite element model.…”

Section: Introductionmentioning

confidence: 99%

Planetary Gear Modeling Using the Power-Oriented Graphs Technique

Zanasi

Tebaldi

2019

2019 18th European Control Conference (ECC)

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In this paper, the Power-Oriented Graphs (POG) technique is used to model Planetary Gear transmission systems. The full elastic dynamic model of the system is obtained using a fast and direct method which can be easily applied to any type of planetary gear. The rigid and reduced dynamic model of the system when the stiffness coefficients go to infinity is then obtained using a POG congruent state space transformation allowing the user to select which angular speeds are to be maintained in the reduced model. Another interesting aspect of the presented method is that the obtained reduced model is still able to provide the time behaviors of the tangential forces present between each couple of gears of the considered planetary gear system. The presented fast and direct method is then applied to two practical case studies, and simulative results in Matlab/Simulink showing the effectiveness of the method are finally reported and commented.

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