Nonlinear dynamic analysis of a quarter vehicle system with external periodic excitation

Zhou, Shihua; Song, Guiqiu; Sun, Mengnan; Ren, Zhaohui

doi:10.1016/j.ijnonlinmec.2016.04.014

Cited by 37 publications

(14 citation statements)

References 23 publications

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“…where ε is the small parameter, ε � k 3 /k 1 , 0 < ε ≤ 1. MIHBM with DFT [28][29][30][31][32] is a new algorithm which replaces the Galerkin procedure [33,34] with DFT. Equation (9) is a typical Duffing equation under the combined action of harmonic excitation and constant excitation.…”

Section: Mihbm With Dft Methods and Feasibility Analysismentioning

confidence: 99%

Dynamic and Stability Analysis of the Machine Hydrostatic Slide with Magnetorheological Damper

Zhang

Gao

et al. 2019

Shock and Vibration

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Tangential dynamic behaviors of the machine hydrostatic slide with a magnetorheological (MR) fluid damper are studied, and the effect of the MR damper to control the vibration of the hydrostatic slide is discussed. The dynamic model of the hydrostatic slide with the MR damper is established, and the tangential vibration equation of linear and nonlinear is derived. The multidimensional incremental harmonic balance method (MIHBM) with discrete Fourier transform (DFT) is derived by which the nonlinear response and stability of the system are studied. The resonance response of the Duffing equation under the combined action of harmonic excitation and constant excitation is obtained. In order to investigate the vibration response of the hydrostatic slide with the MR damper in detail, the bifurcation diagram, phase diagram, and Poincaré map are given. Finally, the dynamic response of the machine hydrostatic slide with the MR damper is discussed, and it is verified that the MR damper can suppress the tangential vibration of the hydrostatic slide effectively and the constant controller can control the chaotic behavior of the system well.

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Section: Mihbm With Dft Methods and Feasibility Analysismentioning

confidence: 99%

Dynamic and Stability Analysis of the Machine Hydrostatic Slide with Magnetorheological Damper

Zhang

Gao

et al. 2019

Shock and Vibration

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“…With the rapid development of modern industrial technology, the research on the dynamic characteristics, fatigue reliability of heavy duty tractor take an important place in the development of the vehicle industry. The analysis of dynamic characteristics as a key link in the design process provide the significant guiding purpose for the rationality of structural design by Cebon (1985), Kim (2003) and Zhou (2016). In addition, the research on reliability has an important value on avoiding structural failure and re-optimizing the structure by Rao V.G.…”

Section: Introductionmentioning

confidence: 99%

Research on dynamic characteristics and reliability of a new heavy duty tractor

Yuan

2019

JAMDSM

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Heavy duty tractor plays a vital role in traffic transport industry, in roads and building construction. In all of these applications, the structural failure of vehicle is the key issue in the process of safe running. This paper is devoted to the investigation of dynamic characteristics and fatigue reliability for the heavy duty tractor. Appling the non-similar substructure modeling technology, the novel integrated simulation model of heavy duty tractor is established. The total number of elements of the simulation model are reduced obviously from 4,380,449 to 117,065. A complete experimental process, which contains selecting digital acquisition module, the layout of sensors, the data processing, etc., is presented. The validity of the analysis method and the simulation model is verified by comparing with experimental results. The analysis methods of the random frequency domain and the multiaxial fatigue are employed to obtain the fatigue damage samples of heavy duty tractor. Meanwhile, the influences of confidence, pre-stress field and channel correlation on reliability are discussed. Moreover, on the basis of the system reliability distribution, the reliability of determined life and the index of B10 life are assessed. This study gives a reference for avoiding the structural failure and enhancing the system safety.

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“…Even so, many literatures discussed the dynamics of the model with a cubic term, such as the rolling mill main drive system 17,18 and the suspension system. 19 Scholars found that the cubic term can cause the unstable behavior of the resonance curve, but few authors studied the boundary between the stable and unstable regions. As a result, it is necessary to analyze the dynamics and stability of the driveline considering those nonlinearities.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, as the approximate analytic solutions of the dynamic system with weak nonlinearities can be solved by applying the method of multiple scales, [19][20][21] the method of multiple scales is chosen to obtain the approximate solutions of the responses of the shock and the resonance of the automotive driveline.…”

Section: Introductionmentioning

confidence: 99%

Torsional dynamics and stability of automotive driveline considering cubic nonlinearity

Han

2018

Proceedings of the Institution of Mechanical Engineers, Part D:

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Since the half-shaft is the main flexible part of the automotive driveline, the torsional dynamics of the simplified driveline considering the cubic nonlinearity of the half-shaft is discussed in the paper. The approximate solutions of the torsional shock response and the resonance response of the driveline are derived using the method of multiple scales. The stability and bifurcation condition of the responses are judged based on the Routh–Hurwitz criterion and the bifurcation theory, respectively. It is shown that the negative cubic nonlinear stiffness is propitious to suppress the torsional shock of the driveline while the positive is on the contrary. Meanwhile, the ability of the suppression of the torsional shock can be improved with the decrease in the linear stiffness. The resonance curve of the driveline may lose its stability when the value of the cubic nonlinear stiffness reaches the threshold. By properly designing the negative cubic nonlinear stiffness of the half-shaft, the instability of the resonance can be suppressed and the ability of the suppression of the torsional shock can also be improved.

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Nonlinear dynamic analysis of a quarter vehicle system with external periodic excitation

Cited by 37 publications

References 23 publications

Dynamic and Stability Analysis of the Machine Hydrostatic Slide with Magnetorheological Damper

Dynamic and Stability Analysis of the Machine Hydrostatic Slide with Magnetorheological Damper

Research on dynamic characteristics and reliability of a new heavy duty tractor

Torsional dynamics and stability of automotive driveline considering cubic nonlinearity

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