Impedance Synthesis Based Vibration Analysis of Geared Transmission System

Ren, Yafeng; Chang, Sen; Liu, Geng; Wu, Liyan; Lim, Teik C.

doi:10.1155/2017/4846532

Cited by 9 publications

(11 citation statements)

References 24 publications

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“…L is the length and OD is the diameter of shaft segments, and subscripts 1 and 2 mean the input shaft and the output shaft, respectively. Ren [6] built a lumped parameter model for each segment. In order to achieve better accuracy, a continuous Timoshenko beam model [34] with 2 external nodes and 6 directions at each node is used here, as shown in Figure 2.…”

Section: Shaftmentioning

confidence: 99%

“…Ren [6] reviewed gear dynamic analyses considering housing compliance and proposed the impedance synthesis method to study the influence of housing compliance on transmission system. Yang [7] extracted the lumped parameter of the housing from an appropriate set of frequency response functions and simulated the dynamic response of hypoid gearbox.…”

Section: Introductionmentioning

confidence: 99%

“…Coupled Model. Impedance synthesis approach [6] is introduced to establish the impedance equation of the whole system. When dynamic models of all subsystems are built, coupled system impedance equation can directly be obtained by assembling impedance matrix elements according to the node number.…”

mentioning

confidence: 99%

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Vibratory Power Flow Analysis of a Gear-Housing-Foundation Coupled System

Ren

Chang

Liu

et al. 2018

Shock and Vibration

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The marine gearbox is usually installed on a vibration isolation system in order to reduce oscillation transmitted to the ship foundation. However, researches on vibration transmission in the gear-housing system and isolation system are currently independent. With the increasing requirement of lower vibration, a coupled model needs to be built to control the vibration propagation from a view of the whole system. Considering the mesh transmission error excitation of a gear pair, a flexible gearhousing-foundation coupled impedance model is constructed in this paper, and the vibratory power flow of the whole system is calculated. Power transmissions between three different gearbox installation configurations, that is, rigid installation, singlestage isolation, and double-stage isolation, are compared. Taking the single-stage isolation configuration as an example, parameter influences on the vibration of the foundation are studied. Results show that double-stage isolation can achieve lower vibration than single-stage isolation; decrease in bearing stiffness or Young's modulus of isolator will yield better vibration isolation performance; housing damping and isolator damping are beneficial to vibration reduction.

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Section: Shaftmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vibratory Power Flow Analysis of a Gear-Housing-Foundation Coupled System

Ren

Chang

Liu

et al. 2018

Shock and Vibration

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“…A gear dynamics simulation model, which uses a mortar-based mesh interface for hybrid FE/lumped-parameter models, was proposed and applied to analyse the dynamic behaviour of thin-rimmed geared systems in [16]. A combination of FE and lumped-parameter models was used by Ren et al [17] to study the dynamic behaviour of a coupled gear-shaft-bearing-housing assembly by using the impedance synthesis method.…”

Section: Shock and Vibrationmentioning

confidence: 99%

A Study on the Dynamic Behaviour of Lightweight Gears

Shweiki

Palermo

Mundo

2017

Shock and Vibration

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This paper investigates the dynamic effects of mass reduction on a pair of spur gears. A one-Degree-of-Freedom (DOF) model of a mechanical oscillator with clearance-type nonlinearity and linear viscous damping is used to perform the investigations. Onedimensional (1D) gear pair models aim at studying the torsional gear vibrations around the rotational axes and can be used to simulate either gear whine or gear rattle phenomena. High computational efficiency is reached by using a spring-damper element with variable stiffness to model the gear meshing process. The angle-dependent mesh stiffness function is computed in a preparation phase through detailed Finite Element (FE) simulations and then stored in a lookup table, which is then interpolated during the dynamic simulation allowing for high computational efficiency. Nonlinear contact effects and influence of material discontinuities due to lightweighting are taken into account by FE simulations with high level of detail. Finally, the influence of gear body topology is investigated through a sensitivity analysis, in which analytical functions are defined to describe the time-varying mesh stiffness.

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“…Choy et al [24,25] examined the effect of the housing's vibration on the dynamic features of the parallel shaft gear transmission system via the modal synthesis method, but the gearbox was simplified dramatically. Ren et al [26] established the gear-shaft-bearing-box coupling dynamic model of the parallel shaft via the impedance synthesis method, taking the dynamical coupling between the transmission system and the housing into consideration, and investigated the influence factor of the natural frequency, meshing force, and bearing force. According to the literature retrieved, the modelling methods of the gear transmission system's…”

Section: Introductionmentioning

confidence: 99%

Modelling and Dynamic Analysis of the Spiral Bevel Gear-Shaft-Bearing-Gearbox Coupling System

Zhu

Chen

Zhu

et al. 2019

Mathematical Problems in Engineering

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To accurately study the dynamic characteristics of the spiral bevel gear transmission system in a helicopter tail transmission system, the finite element model of the gear shaft was established by a Timoshenko beam element, and the mechanical model of the spiral bevel gear was created by the lumped mass method. The substructure method is employed to extract the dynamic parameters from the gearbox’s finite element model, and the dynamic model of the spiral bevel gear-shaft-bearing-gearbox coupling system was built according to the interface coordination conditions. In the model, the influences of time-varying stiffness, a time-varying transmission error, gearbox flexibility, unbalance excitation, and a flexible shaft and bearing support on the system vibration were taken into account simultaneously. On this basis, the dynamic differential equations of the full coupling system of the spiral bevel gear were derived, and the effects of the gearbox flexibility, the shaft angle, and the unbalance on the dynamic properties of the system were analysed. The results show that the gearbox flexibility can reduce the gear meshing force and bearing force, in which there is a more significant impact on the bearing force. The shaft angle affects the position, size, and direction of the system’s axis trajectory. Meanwhile, the meshing force and the bearing force of the system are also varied because of the various pitch angles of the driving and driven gears under different shaft angles. The unbalance of the gear shaft has an effect on the vibration of the spiral bevel gear transmission system in all directions, wherein the influence on the torsional vibration is the most significant, and the influence increases as the unbalance rises. The unbalance of the gear shaft also affects the meshing force and bearing force, which increases as the rotational speed rises. This research provides a theoretical basis to optimize dynamic performance and reduce the vibration and noise of a spiral bevel gear full coupling system.

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Impedance Synthesis Based Vibration Analysis of Geared Transmission System

Cited by 9 publications

References 24 publications

Vibratory Power Flow Analysis of a Gear-Housing-Foundation Coupled System

Vibratory Power Flow Analysis of a Gear-Housing-Foundation Coupled System

A Study on the Dynamic Behaviour of Lightweight Gears

Modelling and Dynamic Analysis of the Spiral Bevel Gear-Shaft-Bearing-Gearbox Coupling System

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