A fast, non-implicit SDOF model for spur gear dynamics

Gkimisis, L.; Vasileiou, Georgios; Sakaridis, Emmanouil; Spitas, Christos; Spitas, Vasilios

doi:10.1016/j.mechmachtheory.2021.104279

Cited by 11 publications

(6 citation statements)

References 34 publications

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“…Combined with the smaller density and higher Young's modulus of ceramics versus steels, the resulting eigenfrequencies of high pressure angle gears indicate a significant increase of the bending stiffness that in turn is essential in the modelling of dynamic phenomena like rattling and intermittent tooth contact either through extensive TCA 35 or single DOF dynamic modelling methods. 36 The 8. Contact stresses at the driving flank of 'Gear1'.…”

Section: Resultsmentioning

confidence: 99%

Fully ceramic versus steel gears: Potential, feasibility and challenges

Vasileiou,

Rogkas,

Markopoulos

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The most common gear strength calculations performed in accordance with ISO/TC 60/SC 2 include surface durability and root bending strength. Typical geared power transmissions are characterized by high Hertzian contact stresses (surface durability) on the flanks – frequently in the order of 103 MPa – versus almost half an order magnitude lower first principal stresses on the tooth root (tooth bending strength). Therefore, the use of high strength special steel alloys is almost mandatory, especially in high-end applications, mainly to withstand the high contact stress values. Ceramic materials are typically characterized by high compressive strength versus very low flexural strength that at first glance makes them inefficient for gear transmissions since they are unlikely to withstand the tensile root stresses. Nevertheless, ceramic materials possess a number of advantages that makes them potential candidates for geared transmissions, such as their exceptional thermal properties, their low density (weight), their excellent wear characteristics and limited lubrication demands. The present work investigates the main challenges of using high-end ceramic gears and attempts to provide an insight on defining the design envelope of such gears to counter the main disadvantages. The increase of the normal pressure angle beyond the 25° limit set by ISO 6336 is primarily investigated, since in minimizes the tensile tooth root stresses, while also increasing the curvature of the contact surfaces without greatly increasing Hertzian stresses. Comparative assessment of the performance of fully ceramic gear designs versus their conventional steel counterparts is performed through quasi-static FEA simulations to set the basic design requirements for such gears and to promote further investigation of the feasibility of their usage in high power density applications.

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Section: Resultsmentioning

confidence: 99%

Fully ceramic versus steel gears: Potential, feasibility and challenges

Vasileiou,

Rogkas,

Markopoulos

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…The current nonconvex penalty functions generally have different degrees of amplitude underestimation, which seriously affects the accuracy of fault diagnosis. Secondly, for sparse representation methods, considering how to choose to construct a suitable sparse dictionary is another challenge [22]. Currently, many of the sparse dictionaries on gears do not satisfy a tight frame, which results in computational complications in the subsequent iterative optimization where a high-dimensional inverse matrix has to be computed [23].…”

Section: Introductionmentioning

confidence: 99%

Nonconvex regularized sparse representation in a tight frame for gear fault diagnosis

Huang

Zhang

et al. 2022

Meas. Sci. Technol.

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The gears vibration signal consists of multiple components, it is therefore difficult to accurately extract the transient components of gear faults. Currently, sparse representation is capable of separating fault components from multicomponent noisy vibration signals. However, sparse representation methods are still confronted with the problems of the poor computational efficiency and underestimation of amplitude. To tackle these challenges, this paper proposes a non-convex regularized sparse representation in the tight frame. The Tunable Q-factor Wavelet Transform (TQWT) is proposed as a sparse dictionary, which can portray the waveform characteristics of the gear vibration signal. TQWT satisfies the tight-frame condition; hence it can efficiently reduce the amount of calculations. The Minimax Concave (MC) function is used as the penalty function since it stands out from various penalty functions with the ability of maintaining amplitude. The simulation and experimental analysis show this method has shorter operation time and better ability to maintain the amplitude.

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“…Then the influence of the individual tooth inertia on spur gear dynamics was evaluated. Gkimisis et al 6 presented a single degree of freedom model that captures meshing nonlinearities in a non-implicit manner. The approach offered a significant advantage for the analysis and simulation of spur gear transmission systems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic analysis of the central bevel gear transmission system in aero engine subjected to internal and external excitation

Liu

Zhang

Zhai

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The research on the nonlinear dynamic characteristics of the central bevel gear transmission system was carried out for the requirement of the vibration control and fault diagnosis of the central bevel gear transmission system in an aero engine. This paper proposes the dynamic model for the first time in order to investigate nonlinear dynamic behavior of the central bevel gear transmission system, and the internal and external excitations are taken into account by using lumped parameter modeling. Time-varying meshing stiffness, gear backlash, and gear transmission error is included in the internal excitations, and the input power, the speed fluctuation of the driven shaft and the high-pressure rotor unbalance excitation are included in the external excitations. The effects of the external excitations on the complex nonlinear dynamic behavior of the system are studied. The results show that reasonable control of input power, speed fluctuations, and high-pressure rotor mass imbalance can improve engine vibration.

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A fast, non-implicit SDOF model for spur gear dynamics

Cited by 11 publications

References 34 publications

Fully ceramic versus steel gears: Potential, feasibility and challenges

Fully ceramic versus steel gears: Potential, feasibility and challenges

Nonconvex regularized sparse representation in a tight frame for gear fault diagnosis

Nonlinear dynamic analysis of the central bevel gear transmission system in aero engine subjected to internal and external excitation

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