Resonance response of a single-degree-of-freedom nonlinear vibro-impact system to a narrow-band random parametric excitation

Min-Bang, Su; Huang, Rong

doi:10.1088/1674-1056/20/6/060501

Cited by 7 publications

(7 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a result, nonlinear behaviors caused by hysteresis cannot be ignored in engineering application. In previous work, we concentrated on the semi-active control strategy of the MRD, [22][23][24] but ignored the potential nonlinear behaviors caused by hysteresis. To expose dynamical characteristics of the system essentially, the dimensionless numerical equations are expressed as follows, by choosing the independent parameters of m s and k s ,…”

Section: Mrd Mr Fluid Coilmentioning

confidence: 99%

Hysteresis-induced bifurcation and chaos in a magneto-rheological suspension system under external excitation

et al. 2016

View full text Add to dashboard Cite

The magneto-rheological damper (MRD) is a promising device used in vehicle semi-active suspension systems, for its continuous adjustable damping output. However, the innate nonlinear hysteresis characteristic of MRD may cause the nonlinear behaviors. In this work, a two-degree-of-freedom (2-DOF) MR suspension system was established first, by employing the modified Bouc-Wen force-velocity (F-v) hysteretic model. The nonlinear dynamic response of the system was investigated under the external excitation of single-frequency harmonic and bandwidth-limited stochastic road surface. The largest Lyapunov exponent (LLE) was used to detect the chaotic area of the frequency and amplitude of harmonic excitation, and the bifurcation diagrams, time histories, phase portraits, and power spectrum density (PSD) diagrams were used to reveal the dynamic evolution process in detail. Moreover, the LLE and Kolmogorov entropy (K entropy) were used to identify whether the system response was random or chaotic under stochastic road surface. The results demonstrated that the complex dynamical behaviors occur under different external excitation conditions. The oscillating mechanism of alternating periodic oscillations, quasi-periodic oscillations, and chaotic oscillations was observed in detail. The chaotic regions revealed that chaotic motions may appear in conditions of mid-low frequency and large amplitude, as well as small amplitude and all frequency. The obtained parameter regions where the chaotic motions may appear are useful for design of structural parameters of the vibration isolation, and the optimization of control strategy for MR suspension system.

show abstract

Section: Mrd Mr Fluid Coilmentioning

confidence: 99%

Hysteresis-induced bifurcation and chaos in a magneto-rheological suspension system under external excitation

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Resonance response of a nonlinear VI system to a narrow-band random parametric excitation are analyzed in Ref. [38]. In addition, the studies on stochastic bifurcation in Refs.…”

Section: Introductionmentioning

confidence: 99%

Stationary response of stochastic viscoelastic system with the right unilateral nonzero offset barrier impacts

Wang

2019

Chinese Phys. B

View full text Add to dashboard Cite

The stationary response of viscoelastic dynamical system with the right unilateral nonzero offset barrier impacts subjected to stochastic excitations is investigated. First, the viscoelastic force is approximately treated as equivalent terms associated with effects. Then, the free vibro-impact (VI) system is absorbed to describe the periodic motion without impacts and quasi-periodic motion with impacts based upon the level of system energy. The stochastic averaging of energy envelope (SAEE) is adopted to seek the stationary probability density functions (PDFs). The detailed theoretical results for Van der Pol viscoelastic VI system with the right unilateral nonzero offset barrier are solved to demonstrate the important effects of the viscoelastic damping and nonzero rigid barrier impacts condition. Monte Carlo (MC) simulation is also performed to verify the reliability of the suggested approach. The stochastic P-bifurcation caused by certain system parameters is further explored. The variation of elastic modulus from negative to zero and then to positive witnesses the evolution process of stochastic P-bifurcation. From the vicinity of the common value to a wider range, the relaxation time induces the stochastic P-bifurcation in the two interval schemes.

show abstract

“…Therefore, studies on the prediction of stochastic responses of vibroimpact systems are naturally important but difficult due to the presence of random excitations and nonsmooth factors. In recent years, some methods [22][23][24][25][26][27] have been developed to explore the response probability density function (PDF) which is an important characteristic of a stochastic system. For the classical impact model, Dimentberg et al [28,29] studied stochastic response of linear vibroimpact system under Gaussian white noise.…”

Section: Introductionmentioning

confidence: 99%

Stochastic Responses of Lightly Nonlinear Vibroimpact System with Inelastic Impact Subjected to External Poisson White Noise Excitation

Yang

Huang

et al. 2018

Mathematical Problems in Engineering

View full text Add to dashboard Cite

A procedure for analyzing stationary responses of lightly nonlinear vibroimpact system with inelastic impact subjected to external Poisson white noise excitation is proposed. First, the original vibroimpact system is transformed to a new system without velocity jump in terms of the Zhuravlev nonsmooth coordinate transformation and the Dirac delta function. Second, the averaged generalized Fokker-Planck-Kolmogorov (FPK) equation for transformed system under parametric excitation of Poisson white noise is derived by stochastic averaging method. Third, the averaged generalized FPK equation is solved by using the perturbation technique and inverse transformation of the Zhuravlev nonsmooth coordinate transformation to obtain the approximately stationary solutions for response probability density functions of original vibroimpact system. Last, analytical and numerical results for two typical lightly nonlinear vibroimpact systems are presented to assess the effectiveness of the proposed method. It is found that they are in good agreement and the proposed method is quite effective.

show abstract

Resonance response of a single-degree-of-freedom nonlinear vibro-impact system to a narrow-band random parametric excitation

Cited by 7 publications

References 28 publications

Hysteresis-induced bifurcation and chaos in a magneto-rheological suspension system under external excitation

Hysteresis-induced bifurcation and chaos in a magneto-rheological suspension system under external excitation

Stationary response of stochastic viscoelastic system with the right unilateral nonzero offset barrier impacts

Stochastic Responses of Lightly Nonlinear Vibroimpact System with Inelastic Impact Subjected to External Poisson White Noise Excitation

Contact Info

Product

Resources

About