Hysteretic damping characteristics of a mechanical tensioner: Modeling and experimental investigation

Zhu, Hao; Hu, Yumei; Pi, Yangjun; Zhu, Weidong

doi:10.1177/0954407018792666

Cited by 13 publications

(22 citation statements)

References 17 publications

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“…6–9 To surmount and reduce system vibrations, different damping mechanisms or elements are often added in an auto-tensioner for dissipating system vibration energies. 5 The mechanical auto-tensioner 5,6–9 and the hydraulic auto-tensioner 10,11 are two primary types of tensioners adopted in the EFEADS. It is validated that either the dry-friction tensioner or the hydraulic tensioner can limit belt slips on pulleys.…”

Section: Introductionmentioning

confidence: 99%

Stick–slip oscillations of an engine front-end accessory drive system with a mechanical tensioner

Zhu

Fan

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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This article is aimed to investigate the stick–slip oscillations of an engine front-end accessory drive system with a mechanical tensioner. Based on several assumptions, a generic dynamic model of rotational vibrations of an engine front-end accessory drive system with arbitrary number of accessory pulleys and one mechanical tensioner is established. In this model, the tensioner dry-friction torque is approximated by a hyperbolic tangent function with a scaling factor to control the sticking zone. An improved multiple harmonic balance method is used to solve the governing equations of rotations of the engine front-end accessory drive system and obtain the periodic rotational vibrations of the system accessory components. The calculation results obtained from the improved multiple harmonic balance method are verified by the results obtained from the Runge–Kutta integration method. Amplitude–frequency responses of rotational vibrations of the accessory components in the engine front-end accessory drive system are calculated using the arc-length technique based on the improved multiple harmonic balance method. Stick–slip oscillations of the tensioner arm with different values of the tensioner dry-friction torque are calculated and influences of the tensioner dry-friction on system rotational vibration amplitudes are analyzed. Variations of system vibration energies dissipated by the tensioner dry-friction at different crankshaft speeds with increases of the maximum tensioner dry-friction torque are calculated, and an optimum design of the tensioner dry-friction damping is given according to the results.

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Section: Introductionmentioning

confidence: 99%

Stick–slip oscillations of an engine front-end accessory drive system with a mechanical tensioner

Zhu

Fan

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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“…The description for each component and the mechanical fit among components of tensioner are shown in Tables 1 and 2. As shown in Figure 1(b), owing to the rotation of tensioner arm (3), a counter torque is generated by the torsional spring (2). Two types of friction torques are generated: the friction torque (M f1 ) between the top surface of bushing (4) and friction disk (6), and the friction torque (M f2 ) between the cylindrical contact surfaces of the bushing (4) and the pivot shaft (5). It is seen from Figure 1(d) that the tensioner is modeled as an element with torsional stiffness of spring and an equivalent damping caused by the friction.…”

Section: Structure Of Tensioner and Friction Torquesmentioning

confidence: 99%

“…[1][2][3][4] Generally, a typical tensioner is mainly composed of a torsional spring, friction elements, and an eccentric tensioner arm. 5 The spring functions as an energy storage element for tensioning the belt, and the damping element is used for reducing and absorbing the vibration of the belt. 6 Owing to the friction damping, the tensioner arm behaves a stick-slip motion, and relation of the applied torque and the imposed angle is a hysteretic loop during loading and unloading processes.…”

Section: Introductionmentioning

confidence: 99%

“…6 Owing to the friction damping, the tensioner arm behaves a stick-slip motion, and relation of the applied torque and the imposed angle is a hysteretic loop during loading and unloading processes. 5 The nonlinear behavior (hysteresis) of tensioner has an evident impact on the capacity of applied load, the dynamic performance and the working life of a belt drive system. [6][7][8] Now some researchers focused on the model of the dynamic characteristics for tensioner hysteresis, and the identification of model parameters of tensioner.…”

Section: Introductionmentioning

confidence: 99%

“…The nonlinear forces transmitted along contact surfaces should be described as accurately as possible. Zhu et al 5 put forward an analytical model and a three-dimensional (3D) finite element model to investigate the hysteretic characteristics of a tensioner. An experimental device was developed to obtain the friction coefficients of contact pairs and the working torque performance of a tensioner.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Methods for estimating hysteretic behavior and vibration responses of a timing belt tensioner

Long

Yin

Zhao

et al. 2019

Advances in Mechanical Engineering

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An automatic tensioner that consists of a torsional spring and friction damping elements is widely used in belt drive system. The relation of the applied torque versus the imposed angle of tensioner during loading and unloading processes is described as a hysteretic loop. An analytical model is established for estimating the hysteretic behavior of a tensioner, and measurements for hysteretic loop in quasi-static and dynamic excitation are carried out to validate the analytical model. Taking one engine timing belt drive system as a studying example, the method and the procedure for estimating vibration responses of the nonlinear tensioner are given. An iterative algorithm for predicting the accurate equivalent viscous damping of tensioner is carried out in analyzing a belt drive system. The vibration responses of tensioner are validated by the measurement of timing belt drive system. The developed method presented in this article is useful for predicting the hysteretic behavior of tensioner, vibration responses, and the parameters optimization of a belt drive system.

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Dynamic Modeling of the Belt Drive System with an Equivalent Tensioner Model

Long

Wen-long

Xia

et al. 2021

J. Vib. Eng. Technol.

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Background In the existing studies, the hysteretic model of tensioner is applied in analysis of a belt drive system which can improve the computational accuracy. But the computational efficiency is low and not suitable for system optimization. Purpose In this paper, an approach is presented to simplify the tensioner's hysteretic model into an equivalent stiffness and damping which is used for improving the computational efficiency of vibration responses of the belt drive system. Method A simplified model and computation method of a belt drive system is established. The hysteretic model of a belt tensioner consists of a linear stiffness and viscous damping based on the averaging energy method to simplify the hysteretic parameters and improve the computational efficiency. The equivalent linear stiffness and damping of the tensioner are estimated using an iterative technique. A timing belt drive system is considered as a case study. The belt system's vibration responses are obtained and compared with the measured results to evaluate the performance of the presented approach. Results and conclusionThe computational results are compared with a previously published method, and the difference between the proposed method (Method I) and the previously published method (Method II) is discussed. The presented method has the following merits: (1) The linearization of tensioner's hysteretic model can improve the computational efficiency greatly with an acceptable computational accuracy. (2) The semi-analytic method which is used to derive the system equations can further reduce the amount of computation. It is suitable for parameter optimization of system.

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Hysteretic damping characteristics of a mechanical tensioner: Modeling and experimental investigation

Cited by 13 publications

References 17 publications

Stick–slip oscillations of an engine front-end accessory drive system with a mechanical tensioner

Stick–slip oscillations of an engine front-end accessory drive system with a mechanical tensioner

Methods for estimating hysteretic behavior and vibration responses of a timing belt tensioner

Dynamic Modeling of the Belt Drive System with an Equivalent Tensioner Model

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