Tacho-less automatic rotational speed estimation (TARSE) for a mechanical system with gear pair under non-stationary conditions

Barrios, Mario Luis Ruiz; Montero, Fidel Ernesto Hernández; Gomez-Mancilla, J. C.; Marín, E.

doi:10.1016/j.measurement.2019.05.085

Cited by 9 publications

(3 citation statements)

References 10 publications

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“…𝜃 𝜃 ⁄ represents the calculated angular position of two adjacent beams, and 𝛼 𝛼 ⁄ represents the corresponding center angle of the two beams. For the boundary conditions imposed at the connection point x of two adjacent beams, two boundary conditions are set according to different forces, as follows: (1) When the actual meshing point of gear pairs is close to the k-th section of ring gears, the ring gear of this section is supported by external force, and the boundary conditions are: force F b and the center line of the gear tooth; and F m represents the meshing force of the gear pairs [29].…”

Section: Discretization Of Ring Gearsmentioning

confidence: 99%

“…Figure 3 shows a model of the meshing force and deformation of the ring gear segments. Point A is the actual meshing point; Point O is the center of mass of the ring gear segment where the meshing tooth is located; Point B is the intersection of the action line of the radial force Fb and the center line of the gear tooth; and F m represents the meshing force of the gear pairs [29]. The deformation 𝛿 ∥ of ring gear segments in the direction of LOA and the deformation 𝛿 perpendicular to LOA are:…”

Section: Discretization Of Ring Gearsmentioning

confidence: 99%

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Deformation and Response Analysis of Spur Gear Pairs with Flexible Ring Gears and Localized Spalling Faults

et al. 2022

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For the analysis on the deformation of flexible ring gears in spur gear pairs, the complete flexible ring is discretized, and the boundary condition is added to the connecting points to develop a calculation method for the flexible deformation. The ovality index is used to describe the deformation degree of flexible ring gears, then the influences of ring-gear width and the spalling defects on the flexible deformation of ring gears are discussed. The result shows that the flexible deformation of ring gears is caused by the gear pair meshing force, and the deformed shape is close to an ellipse. In the single-tooth meshing interval of gear pairs, the main form of deformation is being stretched, and while in the double-tooth meshes, the main form is bending deformation. When the width of the ring gear rims is increased, the flexible deformation of the ring gears can be effectively suppressed, and the vibration amplitude of the gear pairs can be reduced. Additionally, when there is a localized spalling fault on gear pairs, the sudden changes in the deformation of flexible ring gears are generated by the shock of the meshing force. Finally, through the finite element analysis model and the experiment, the mathematical model of gear pairs with flexible rings is confirmed.

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Section: Discretization Of Ring Gearsmentioning

confidence: 99%

Section: Discretization Of Ring Gearsmentioning

confidence: 99%

Deformation and Response Analysis of Spur Gear Pairs with Flexible Ring Gears and Localized Spalling Faults

et al. 2022

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“…However, the speed estimation may degrade when the harmonic components in the vibration signal are weak; further, some parameters should be determined before the estimation. Barrios et al studied an algorithm to automatically estimate the rotational speed from the vibration generated by a gear pair; Singular Spectrum Decomposition was used for decomposing the vibration signal into the mono-component signals, and a non-quadratic phase coupling analysis was applied in order to detect the amplitude modulations [21]. Above all, many rotational frequency estimation methods have been proposed and applied for fault diagnosis of rotational machinery, but they still face the problem of large amount of computation and difficulty in improving the accuracy.…”

Section: Introductionmentioning

confidence: 99%

A New Order Tracking Method for Fault Diagnosis of Gearbox under Non-Stationary Working Conditions Based on In Situ Gravity Acceleration Decomposition

Li,

Chen,

Wang

2024

Applied Sciences

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Rotational speed measuring is important in order tracking under non-stational working conditions. However, sometimes, encoders or coded discs are not easy to mount due to the limited measurement environment. In this paper, a new in situ gravity acceleration decomposition method (GAD) is proposed for rotational speed estimation, and it is applied in the order tracking scene for fault diagnosis of a gearbox under non-stationary working conditions. In the proposed method, a MEMS accelerometer is locally embedded on the rotating shaft or disc in the tangential direction. The time-varying gravity acceleration component is sensed by the in situ accelerometer during the rotation of the shaft or disc. The GAD method is established to exploit the gravity acceleration component based on the linear-phase finite impulse response (FIR) filter and complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN) methods. Then, the phase signal of time-varying gravity acceleration is derived for rotational speed estimations. A motor–shaft–disc experimental setup is established to verify the correctness and effectiveness of the proposed method in comparison to a mounted encoder. The results show that both the estimated average and instantaneous rotational speed agree well with the mounted encoder. Furthermore, both the proposed GAD method and the traditional vibration-based tacholess speed estimation methods are applied in the context of order tracking for fault diagnosis of a gearbox. The results demonstrate the superiority of the proposed method in the detection of tooth spalling faults under non-stationary working conditions.

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Automatic Detection of Rolling Element Bearing Faults to Be Applied on Mechanical Systems Comprised by Gears

Rodríguez

Hernandez

Ruiz

2021

Applied Condition Monitoring

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Tacho-less automatic rotational speed estimation (TARSE) for a mechanical system with gear pair under non-stationary conditions

Cited by 9 publications

References 10 publications

Deformation and Response Analysis of Spur Gear Pairs with Flexible Ring Gears and Localized Spalling Faults

Deformation and Response Analysis of Spur Gear Pairs with Flexible Ring Gears and Localized Spalling Faults

A New Order Tracking Method for Fault Diagnosis of Gearbox under Non-Stationary Working Conditions Based on In Situ Gravity Acceleration Decomposition

Automatic Detection of Rolling Element Bearing Faults to Be Applied on Mechanical Systems Comprised by Gears

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