Dynamic behaviour of three-dimensional planetary geared rotor systems

Tatar, Ali; Schwingshackl, Christoph W.; Friswell, Michael I.

doi:10.1016/j.mechmachtheory.2018.12.023

Cited by 52 publications

(33 citation statements)

References 61 publications

(148 reference statements)

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“…e shaft is mainly for supporting rotation components and transmitting power, thus it is one of important parts in the gear transmission system [22]. e element models of elastic shafts are built in order to effectively consider shaft's deformation, as shown in Figure 3.…”

Section: Shaft Elementmentioning

confidence: 99%

A Coupling Dynamics Analysis Method for Two‐Stage Spur Gear under Multisource Time‐Varying Excitation

Qiao

Zhou

Zhang

2019

Shock and Vibration

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A new modeling method is proposed to simulate the dynamic response of a two-stage gear transmission system using the finite element method (FEM). The continuous system is divided into four modules: shaft-shaft element, shaft-gear element, shaft-bearing element, and gear-gear element. According to the FEM, the model is built with each element assembled. Meanwhile, the model considers the time-varying mesh stiffness (TVMS), bearing time-varying stiffness (BTVS), and the shaft flexibility. The Newmark integration method (NIM) is used to obtain the dynamic response of the spur gear system. Results show that vibration amplitude and the number of frequency components decrease after considering shaft flexibility through comparing the gear dynamic response under the condition of flexible shaft and rigid shaft. When the effect of bearing stiffness is considered, there will be a bearing passing frequency component in the frequency spectrum. In addition, the result shows that the simulation and experimental test of the frequency component are basically consistent. Furthermore, the theoretical model is validated against an experimental platform of the two-stage gear transmission system and the dynamic responses are compared under the condition of increasing speed. Additionally, the increase of shaft stiffness not only changes some of the dominant mode shapes (torsional mode shapes) but also makes the number of primary resonance speeds added. The method can be used to guide the design of gear systems.

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Section: Shaft Elementmentioning

confidence: 99%

A Coupling Dynamics Analysis Method for Two‐Stage Spur Gear under Multisource Time‐Varying Excitation

Qiao

Zhou

Zhang

2019

Shock and Vibration

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“…Kahraman presented an analytical model for a stage of helical PGT for the study of its dynamic behavior [5]. Based on the lumped-parameter and finite element theories, Tatar et al constructed a three-dimensional analytical model of helical planetary geared rotor sets by considering gyroscopic effects to investigate the dynamic behavior [6]. Bu incorporated journal bearings to a dynamic model of herringbone planetary gears to study their modal properties [7].…”

Section: Introductionmentioning

confidence: 99%

The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears

Ren

Shi

et al. 2020

Applied Sciences

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In the presence of manufacturing errors, the dynamic properties of herringbone planetary gear train (HPGT) can be altered from the originally designed properties to have undesired behavior. In this paper, by considering the herringbone gear actual structure characteristics, manufacturing eccentric errors of members (i.e., carrier and gears) and tooth profile errors of gears, time-varying meshing stiffness, bearing deformation, and gyroscopic effect, a novel lateral–torsional–axial coupling dynamic model for the herringbone planetary gear system is formulated by using the lumped-parameter method, which is able to be employed in the dynamic feature analysis of the HPGT with an arbitrary number of planets and different types of manufacturing errors. By applying the variable-step Runge–Kutta algorithm, the dynamic response of a HPGT system is studied for cases with and without planet–gear eccentric error excitations. The dynamic contact forces of gears and bearings are analyzed for the two cases in time and frequency domains, respectively. Moreover, the effect of the planet–gear eccentricity on the vibration accelerations of the HPGT system is also discussed. The obtained results indicate that manufacturing error excitations such as the planet–gear eccentricity have a pronounced influence on the dynamic behavior of the HPGT system.

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“…A lumped element model was developed, in which tooth and gear inertial properties were decoupled, with the incorporation of the meshing position and load dependent meshing stiffness and backlash (Sakaridis et al, 2019). Tatar et al (2019) developed six degrees of freedom dynamic model of a planetary geared rotor system with equally spaced planets by considering the gyroscopic effects. The dynamic model was created using a lumped parameter model of the planetary gearbox and a finite element model of the rotating shafts using Timoshenko beams (Tatar et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

“…Tatar et al (2019) developed six degrees of freedom dynamic model of a planetary geared rotor system with equally spaced planets by considering the gyroscopic effects. The dynamic model was created using a lumped parameter model of the planetary gearbox and a finite element model of the rotating shafts using Timoshenko beams (Tatar et al, 2019). Liu et al (2019) investigated an excitation pattern of the timevarying instantaneous center of the noncircular face gear drive system, wherein a torsional-lateral-axial coupled dynamic model of the noncircular face gear system was presented under the compound parametric excitations of the time-varying instantaneous center and mesh stiffness (Liu et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling and dynamic characteristics study of coupling vibration of multistage face gearsplanetary transmission

Chen

et al. 2019

Mech. Sci.

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Abstract. A novel transmission with multistage face gears as the core component achieves variable speeds via differential gear shifting. Single/multistage coupled vibration models have been established in this study to derive the coupled vibration equation in order to accurately solve the load distribution between the meshing teeth and the vibration shock between the shifting stages in the transmission process, improve the transmission smoothness of the face gears during the shifting processing, suppress the resonance of face gears meshing, reduce the noise, and optimize the power transmission performance. The characterization relationships of the key parameters such as equivalent mass, rotational inertia, equivalent mesh stiffness, support stiffness, and meshing damping coefficient to dynamic characteristics were investigated. The linear and nonlinear dynamic characteristics of coupled vibration differential equations were solved. The influence rules of factors such as integrated transmission error, dynamic load, tooth surface friction, loading speed, and load on the transmission system were analyzed. The results of the study provide a theoretical basis for the expansion of field of application of transmission devices.

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Dynamic behaviour of three-dimensional planetary geared rotor systems

Cited by 52 publications

References 61 publications

A Coupling Dynamics Analysis Method for Two‐Stage Spur Gear under Multisource Time‐Varying Excitation

A Coupling Dynamics Analysis Method for Two‐Stage Spur Gear under Multisource Time‐Varying Excitation

The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears

Numerical modeling and dynamic characteristics study of coupling vibration of multistage face gearsplanetary transmission

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