Mesh stiffness measurement of cracked spur gear by photoelasticity technique

Raghuwanshi, Naresh K.; Parey, Anand

doi:10.1016/j.measurement.2015.05.035

Cited by 59 publications

(28 citation statements)

References 21 publications

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“…[1,2,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23]. Note, however, that mesh stiffnesses can vary from rectangular waveforms near resonant gear speeds [29,30] where the large vibration alters the dynamic mesh force, due to the presence of manufacturing and assembly errors [27,28], and due to tooth damage [7,32,33,40].…”

Section: Dynamic Analysis and The Local Slope Methodsmentioning

confidence: 99%

“…The tooth mesh stiffness has been calculated by dividing the mesh force by the mesh deflection in Refs. [3,4,5,6,9,19,24,25,31,38,39,40,32,33,41], for example. We refer to this as the average slope approach.…”

Section: Average Slope Approachmentioning

confidence: 99%

“…[5,7,31,32]. Raghuwanshi and Parey [33] used photoelasticity to measure the mesh stiffness of gear teeth with cracks. It is possible to determine mesh stiffness from experiments by measuring angular gear deflections with high precision encoders.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Gear tooth mesh stiffness: A comparison of calculation approaches

Cooley

Liu

Dai

et al. 2016

Mechanism and Machine Theory

127

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This work compares spur gear tooth mesh stiffness calculations using two approaches. The first is a common approach from the literature that calculates the mesh stiffness by dividing the mesh force by the mesh deflection, which we call the average slope method. The second approach calculates the local slope of the force-deflection curve about a nominal deflection. The two approaches result in meaningfully different mesh stiffness predictions that persist for wide ranges of applied torque and for gear teeth with tooth surface modifications. It is shown that each calculation approach has its own distinct use, broadly divided as average slope mesh stiffness for static analyses and local slope for dynamic analyses. Furthermore, the two stiffness calculation approaches lead to different vibration models. This means for vibration analyses the choice is not solely which of the two stiffnesses to use but also how to implement that stiffness appropriately in a model. Even though the mesh stiffnesses in this work are calculated using a finite element/contact mechanics approach, the findings are equally valid for mesh stiffnesses obtained from conventional finite element methods, analytical models, and experiments.

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Section: Dynamic Analysis and The Local Slope Methodsmentioning

confidence: 99%

Section: Average Slope Approachmentioning

confidence: 99%

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Gear tooth mesh stiffness: A comparison of calculation approaches

Cooley

Liu

Dai

et al. 2016

Mechanism and Machine Theory

127

View full text Add to dashboard Cite

show abstract

“…Therefore, some scholars [1][2][3][4][5][6][7][8][9][10][11][12] mainly apply the experimental methods to the researches of meshing characteristics and vibration characteristics of gear systems. Pandya et al 1 and Raghuwanshi et al 2,3 used photoelasticity technique and strain gauge technique to compute the mesh stiffness of spur gears with crack, and their experimental results were compared with the results obtained from the potential energy method. Based on the fracture mechanics and test machine, Aslantas¸et al 4 simulated the crack propagation path on tooth surface and designed the experiment to determine the pitting formation life, and the pitting formation life obtained from the experimental and simulated methods was compared.…”

Section: Introductionmentioning

confidence: 99%

Vibration characteristic analysis of spur gear systems under tooth crack or fracture

Chen

Huangfu

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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Tooth fractures and cracks are common defects in gear transmission systems. Crack propagation paths of the spur gears are acquired using the fracture mechanics theory. Based on the simulated crack propagation path, the flexible body model of the cracked gear system is established in multibody dynamic software ADAMS. The vibration signals of cracked gear under different torques obtained from the simulation are verified by the experimental results. Some statistical indictors (root mean square and Kurtosis) are used to quantify the damage degree. In addition, the fault features of the gear system under crack and tooth fracture faults are analyzed by utilizing the instantaneous energy. The results indicate that the amplitude of the harmonics of the meshing frequency and the sideband frequencies increase gradually with the increase of torques and crack lengths. Especially, for the tooth fracture fault, its influence on Kurtosis value is particularly obvious. Meanwhile, according to the instantaneous energy, the tooth fracture fault will result in severe energy impacts and cause a sharp increase in the vibration amplitude.

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“…The electrometric method makes use of strain gauges, which are mounted at the measurement area. These two methods both have a long history, and in recent years, they have been used to determine the distribution of tooth root strain [13], to calculate the meshing stiffness under tooth cracks [14,15,16], study the effect of errors and tooth modifications to the tooth root strain [17,18,19], and analyze the contact stress of helical gears under different helical angles [20]. The two traditional methods are very effective in experiments, but they both have some problems to measure the strain of the ring gear in realistic planetary gearboxes with narrow inner space.…”

Section: Introductionmentioning

confidence: 99%

An Approach for the Dynamic Measurement of Ring Gear Strains of Planetary Gearboxes Using Fiber Bragg Gratings

Niu

Zhang

Chao-zhen

2017

Sensors

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Abstract:The strain of the ring gear can reflect the dynamic characteristics of planetary gearboxes directly, which makes it an ideal signal to monitor the health condition of the gearbox. To overcome the disadvantages of traditional methods, a new approach for the dynamic measurement of ring gear strains using fiber Bragg gratings (FBGs) is proposed in this paper. Firstly, the installation of FBGs is determined according to the analysis for the strain distribution of the ring gear. Secondly, the parameters of the FBG are determined in consideration of the accuracy and sensitivity of the measurement as well as the size of the ring gear. The strain measured by the FBG is then simulated under non-uniform strain field conditions. Thirdly, a dynamic measurement system is built and tested. Finally, the strains of the ring gear are measured in a planetary gearbox under normal and faulty conditions. The experimental results showed good agreement with the theoretical results in values, trends, and the fault features can be seen from the time domain of the measured strain signal, which proves that the proposed method is feasible for the measurement of the ring gear strains of planetary gearboxes.

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Mesh stiffness measurement of cracked spur gear by photoelasticity technique

Cited by 59 publications

References 21 publications

Gear tooth mesh stiffness: A comparison of calculation approaches

Gear tooth mesh stiffness: A comparison of calculation approaches

Vibration characteristic analysis of spur gear systems under tooth crack or fracture

An Approach for the Dynamic Measurement of Ring Gear Strains of Planetary Gearboxes Using Fiber Bragg Gratings

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