Experimental measurement of mesh stiffness by laser displacement sensor technique

Raghuwanshi, Naresh K.; Parey, Anand

doi:10.1016/j.measurement.2018.06.035

Cited by 52 publications

(16 citation statements)

References 36 publications

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“…Others considered the tooth as a trapezoidal beam [18] while also semi empirical formulas have been proposed [19,20]. Experimental methods were also proposed to study the static transmission error (STE) [21][22][23], while others included mounting and manufacturing deviations to estimate the manufacturing transmission error (MTE) [24][25][26][27]. Finite element (FE) models were obviously proposed as well, but its time-consuming nature and difficulty to set up made it applicable to limited aspects, such as tooth root stresses and its structural behavior [28][29][30], crack propagation [31][32][33][34][35], or generally as a validation tool for other proposed models.…”

Section: Introductionmentioning

confidence: 99%

Gear Teeth Deflection Model for Spur Gears: Proposal of a 3D Nonlinear and Non-Hertzian Approach

et al. 2021

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In this paper, a three-dimensional model for the estimation of the deflections, load sharing attributes, and contact conditions will be presented for pairs of meshing teeth in a spur gear transmission. A nonlinear iterative approach based on a semi-analytical formulation for the deformation of the teeth under load will be employed to accurately determine the point of application of the load, its intensity, and the number of contacting pairs without a priori assumptions. At the end of this iterative cycle the obtained deflected shapes are then employed to compute the pressure distributions through a contact mechanics model with non-Hertzian features and a technique capable of obtaining correct results even at the free edges of the finite length contacting bodies. This approach is then applied to a test case with excellent agreement with its finite element counterpart. Finally, several results are shown to highlight the influence on the quasi-static behavior of spur gears of different kinds and amounts of flank and face-width profile modifications.

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Section: Introductionmentioning

confidence: 99%

Gear Teeth Deflection Model for Spur Gears: Proposal of a 3D Nonlinear and Non-Hertzian Approach

et al. 2021

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“…Tian et al [4] proposed using two opposing adjustable laser sensors to obtain tooth profile information through one scan and to reconstruct the key geometric model of the gear profile after compensation. Raghuwanshi et al [5] presented a laser displacement sensor technique to measure the tooth deflection of spur gears to calculate the friction stiffness of cracked teeth, but the mechanism used by the experimental device for the determination of tooth surface friction was not very clear. Jiang et al [6] used a laser displacement sensor to measure the bending deformation and stiffness of the output shaft to obtain the friction force.…”

Section: Introductionmentioning

confidence: 99%

An Offset Laser Measurement Method for the Deviation Analysis of Cylindrical Gears

Mei

Song

et al. 2021

Machines

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Generally, in the laser measurement of gears, the laser beam passes through the center of the gear, and the laser displacement sensor reads the spatial distance from the gear involute tooth surface to the laser displacement sensor. However, in this method, the angle between the laser beam and the normal vector of the measured tooth surface is too large, which affects the accuracy of the measurement and the stability of the data. This paper proposes an offset laser measurement method. The laser beam is offset from the center of the gear by a certain distance to form a larger incident angle with the tooth surface, which can effectively address the problem and increase the measurement accuracy. Through a selection of the optimal offset distance, the range of optimal offset measurement positions was obtained and clarified by experiments. We solved the data conversion problem caused by the change in measuring position, and we measured the pitch deviation and helix angle of the gear to confirm the feasibility of this method. According to the theoretical calculation and experimental verification, it was found that this method has the advantages of better measurement accuracy and less fluctuation in measurement data. It is, thus, suitable for precision gear measurement.

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“…Li et al [27] developed an measurement method for spline shaft rolling performance evaluation with a laser displacement sensor and rotary encoder. Raghuwanshi et al [28] proposed a new experimental technique of mesh stiffness by using laser displacement sensor and evaluated the mesh stiffness for healthy and cracked tooth pairs. Due to this apparent lack of experimental validation, friction force in helical gears is not understood very well.…”

Section: Introductionmentioning

confidence: 99%

Measurement method of tooth friction force for helical gears by laser displacement sensor

Jiang

Sun

Liu

2020

J Braz. Soc. Mech. Sci. Eng.

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Tooth friction force between the mesh teeth is a non-negligible excitation source for gear vibration and noise. However, the accurate measurement of the tooth friction force in mesh is very difficult, especially for helical gears. In this paper, a method for measuring the tooth friction force in helical gears is proposed by using a laser displacement sensor. The tooth friction force is obtained based on the bending deformation and the bending stiffness of the output shaft in the direction of the friction force. System errors of the gearbox are minimized by preload and locking device, and the measurement error is compensated according to the geometric positional relationship of the output shaft with and without the action of the mesh force. Experimental measurement is carried out by using an example of helical gears and compared with theoretical model. Experimental results have been shown that the magnitude and trend of the tooth friction force by measurement are basically the same with the theoretical calculations, which illustrate the effectiveness of the measurement method. It is also observed that both the tooth friction forces from the measurement and the theoretical model change direction twice in one mesh circle.

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Experimental measurement of mesh stiffness by laser displacement sensor technique

Cited by 52 publications

References 36 publications

Gear Teeth Deflection Model for Spur Gears: Proposal of a 3D Nonlinear and Non-Hertzian Approach

Gear Teeth Deflection Model for Spur Gears: Proposal of a 3D Nonlinear and Non-Hertzian Approach

An Offset Laser Measurement Method for the Deviation Analysis of Cylindrical Gears

Measurement method of tooth friction force for helical gears by laser displacement sensor

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