Effect of mesh stiffness of healthy and cracked gear tooth on modal and frequency response characteristics of geared rotor system

Saxena, Ankur; Chouksey, Manoj; Parey, Anand

doi:10.1016/j.mechmachtheory.2016.10.006

Cited by 93 publications

(34 citation statements)

References 24 publications

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“…Natural frequency increases with increase in load [2]. Ankur Saxena [3] et al have investigated the influence of mesh stiffness on mode shapes and natural frequencies of geared rotor system. Modal analysis involves estimation of modal damping factors, natural frequencies, critical speeds, mode shapes and frequency response functions etc.…”

Section: Literature Surveymentioning

confidence: 99%

Determination of Natural Frequencies of Spur Gear in Portal Axle Gearbox

2019

IJITEE

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Portal axle is introduced to avoid damage of the vehicle bottom portion while it is running on off-road condition by providing additional ground clearance to the vehicle. Since the ground clearance is achieved through gear train arrangement, the operating frequency of the gear shouldn't match with its natural frequency. This work aims to predict the natural frequencies and modes shapes of the gear train with three types of gear arrangements. The effect of natural frequency also studied with three different gear materials such as steel, CI andAl alloy. Gear trains are modeled in Solidworks 2017 and analyzed in well-known FEM software ANSYS workbench 16.0. First six natural frequencies and corresponding mode shapes are also obtained. FEM results are compared with operating frequency of the gear.

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Section: Literature Surveymentioning

confidence: 99%

Determination of Natural Frequencies of Spur Gear in Portal Axle Gearbox

2019

IJITEE

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“…If structural damping effect is neglected, lateral vibration equation of rotating elastic beam element in matrix form is expressed as follows: , , are mass matrix, gyroscopic matrix, and stiffness matrix of Timoshenko rotational elastic beam element, respectively [22]. Their specific expressions are shown as follows:…”

Section: Lateral Vibration Equation Of Elastic Beammentioning

confidence: 99%

Lateral Superharmonic Resonance of the Rotor in 12/8 Poles Switched Reluctance Motor

Wang

et al. 2018

Mathematical Problems in Engineering

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Switched reluctance motor (SRM) generates a very large electromagnetic radial force when the stator windings commutate because of its doubly salient structure and magnetic saturation. Lateral vibration appears when electromagnetic radial force is applied onto the rotational rotor, which causes continual changes of airgap and further radical electromagnetic force. Nonlinear vibration of the rotor under the interaction of electromagnetic radial force and displacement becomes very complicated, which is becoming a research hotspot at present. A whole lateral vibration dynamics equation is established by finite element method. The radical force formula of single rotor tooth was deduced by integration of equivalent electromagnetic circuit and Maxwell stress method, and final functional expression of radial electromagnetic resultant when stator windings are energized with ideal square wave is also obtained. The critical speeds and vibration modes of the rotor are analyzed by Campbell diagram and lateral vibration displacement locus is solved by Newmark-Beta numerical integration method. The results show that the vibration locus of the rotor distributes in a circular domain. The frequency distribution of electromagnetic resultant relates to rotation speed, current switch frequency, and current wave, while the frequency distribution of the displacement also closely relates to the first-order critical speed of the rotor. When the rotor runs at some specific speed, lateral superharmonic resonance phenomenon appears and its displacement locus shows rich diversity. Lateral vibration characteristic of the rotor could be quickly grasped through this study, which makes vibration evaluation possible for advanced motor design.

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“…Many scholars had made a mountain of work for the gearbox with crack fault. Saxena et al [13] studied the influences of the meshing stiffness and damping on the flexible rotor-shaft system. ey explored vibration responses and frequency characteristics in detail.…”

Section: Introductionmentioning

confidence: 99%

Frequency and Vibration Characteristics of High‐Speed Gear‐Rotor‐Bearing System with Tooth Root Crack considering Compound Dynamic Backlash

Liu

Zhao

Liu

2019

Shock and Vibration

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Considering the microstructure of tooth surface and the dynamic characteristics of the vibration responses, a compound dynamic backlash model is employed for the gear transmission system. Based on the fractal theory and dynamic center distance, respectively, the dynamic backlash is presented, and the potential energy method is applied to compute the timevarying meshing stiffness, including the healthy gear system and the crack fault gear system. en, a 16-DOF coupled lateraltorsional gear-rotor-bearing transmission system with the crack fault is established. e fault characteristics in the timedomain waveform and frequency response and statistics data are described. e effect of crack on the time-varying meshing stiffness is analyzed. e vibration response of three backlash models is compared. e dynamic response of the system is explored with the increase in crack depth in detail. e results show that the fault features of countershaft are more obvious. Obvious fluctuations are presented in the time-domain waveform, and sidebands can be found in the frequency domain responses when the tooth root crack appears. e effect of compound dynamic backlash on the system is more obvious than fixed backlash and backlash with changing center distance. e vibration displacement along meshing direction and dynamic meshing force increases with the increase in crack depth. Backlash and variation of center distance show different tendencies with increasing crack depth under different rotational speeds. Amplitude of the sidebands increases with crack depth increasing. e amplitude of multiplication frequency of rotational frequency has an obvious variation with growing crack depth. e sidebands of the multiplication frequency of meshing frequency show more details on the system with complex backlash and crack fault.

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Effect of mesh stiffness of healthy and cracked gear tooth on modal and frequency response characteristics of geared rotor system

Cited by 93 publications

References 24 publications

Determination of Natural Frequencies of Spur Gear in Portal Axle Gearbox

Determination of Natural Frequencies of Spur Gear in Portal Axle Gearbox

Lateral Superharmonic Resonance of the Rotor in 12/8 Poles Switched Reluctance Motor

Frequency and Vibration Characteristics of High‐Speed Gear‐Rotor‐Bearing System with Tooth Root Crack considering Compound Dynamic Backlash

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