A novel scheme for nonlinear displacement-dependent dampers

Ilbeigi, Shahab; Jahanpour, Javad; Farshidianfar, Anoshirvan

doi:10.1007/s11071-012-0465-4

Cited by 21 publications

(18 citation statements)

References 19 publications

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“…Ilbeigi et al [20] studied nonlinear displacement-dependent dampers of the type: where λ > 0 satisfies the passivity property, Remark 4 (μ, β, and s are other design parameters). This formula is approximated using Taylor series expansion in Ilbeigi et al [20], resulting in two other damper formulas as follows:…”

Section: Appendix 1 For Sectmentioning

confidence: 99%

Dual input–output pairs for modeling hysteresis inspired by mem-models

et al. 2017

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Section: Appendix 1 For Sectmentioning

confidence: 99%

Dual input–output pairs for modeling hysteresis inspired by mem-models

et al. 2017

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“…This method of multiple scales, or MMS, is a mathematical tool that can address non-linear singular systems on both small and large time scales. The approach has been widely implemented in vibration [27], [28], hydraulic [29], [30] and pneumatic [31], fluid [32], [33], and thermal [34], [35] analyses to determine a system's non-linear behaviour. For instance, Nayfeh and Bouguerra [36] used this method to model the non-linear response of a relief valve.…”

Section: Introductionmentioning

confidence: 99%

Real-Time Simulation of Fluid Power Systems Containing Small Oil Volumes, Using the Method of Multiple Scales

et al. 2020

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Machinery devices often consist of mechanical mechanisms that are actuated by fluid power systems. In many applications, the mechanical system can be modelled and analysed in terms of the multibody system dynamics. Fluid power systems, in turn, can be analysed via the lumped-fluid theory, with which simulation of fluid power systems requires smaller integration time steps than needed by multi-body solvers. This leaves simulation of the entire machinery device beyond reach for a real-time framework, with the main reason for the very small time steps in modelling of fluid power systems being the presence of a small hydraulic volume, which creates a numerical stiffness problem. The stiffness issue may arise from numerical singularity emerging in the fluid power system, which implies that solving the governing equations involves different time scales-small and large. To resolve the numerical singularity in hydraulic circuits, the authors developed a perturbed model to alleviate the stiffness problem demonstrated that it can increase the integration time step by an order of magnitude. Since the perturbed model does necessitate a correction factor for the volumetric flow rate, the method of multiple scales is applied to compute the pressure within the small volume to second-order accuracy, O(ε 2), in comparison with the perturbed model's O(ε). The results reveal that if the correction parameter is not set, the perturbed model's cumulative error leads to considerable deviation in piston position with respect to the reference model, whereas the multiple-scale model eliminates the issue of cumulative error without demanding any flow-rate correction factor. INDEX TERMS fluid power system, real-time simulation, singular perturbed model, small volumes.

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“…Sankar et al (1994) have analysed the displacement-dependent dual-phase damping with low to high and high to low damping coefficient and concluded that the low to high type of displacement-dependent dual-phase damping has greater potential to improve the performance of vibration isolation. The limited literature is available on the PDD and its application in vehicle suspension (Dharankar and Hada, 2011;Etman et al, 2002;Fukushima et al, 1983Fukushima et al, , 1984Ilbeigi et al, 2012;Kalyan and Padmanabhan, 2009;Moon, 2005, 2006). Fukushima et al (1983Fukushima et al ( , 1984 presented a study to obtain optimum characteristics of automotive shock absorbers under various driving conditions and road surfaces, perhaps a first attempt to recognise the need of stroke-dependent damping for vehicle suspension.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, in this work, the method of SOH is used to generate road profile first in spatial domain and then the profile is used for time domain simulation of a quarter-car vehicle model for different forward speeds of vehicle. Ilbeigi et al (2012) proposed a scheme for non-linear displacement-dependent (NDD) damper and its mathematical model. The mechanism of damper force generation in hydraulic damper with constant orifice is utilised for generation of NDD damping force by replacing the constant orifice with displacement-dependent orifice opening.…”

Section: Introductionmentioning

confidence: 99%

Performance improvement of passive suspension of vehicles using position dependent damping

Dharankar¹,

Hada

Chandel

2018

IJVP

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This paper presents the analysis of position dependent damping (PDD) and a methodology for estimation of its parameters for passive suspension of vehicles. The time domain simulation of a quarter-car model with non-linear PDD is performed over the generated random road profile for different forward speeds of vehicle. The time domain response is transformed to frequency domain power spectral density (PSD) and root mean square (RMS) response is determined. Also, the time domain simulation with half sine bump is performed to obtain the bump response spectrum to evaluate the performance of vehicle suspension to transient road excitation. The performance of passive suspension with PDD is compared with that of linear damping in terms of ride comfort, suspension travel and road holding ability. It is shown that the concept of PDD has potential to improve the performance of vehicle suspension by minimising the well-known ride-handling conflict associated with passive suspensions.

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A novel scheme for nonlinear displacement-dependent dampers

Cited by 21 publications

References 19 publications

Dual input–output pairs for modeling hysteresis inspired by mem-models

Dual input–output pairs for modeling hysteresis inspired by mem-models

Real-Time Simulation of Fluid Power Systems Containing Small Oil Volumes, Using the Method of Multiple Scales

Performance improvement of passive suspension of vehicles using position dependent damping

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