Analysis of a quarter car suspension based on a Kelvin–Voigt viscoelastic model with fractional-order derivative

Tuwa, P.R. Nwagoum; Molla, Tadios; Noubissié, Samuel; Kingni, Sifeu Takougang; Rajagopal, Karthikeyan

doi:10.1016/j.ijnonlinmec.2021.103818

Cited by 11 publications

(5 citation statements)

References 31 publications

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“…According to research by Huang et al, [38] the relationship between the parameters of the tristable viscoelastic vibration isolation system under random excitation and the dynamic characteristics of system under the time-delayed feedback control was established. Tuwa et al [39] analyzed the dynamics of a quarter automobile suspension with a fractional derivative viscoelastic model, and explored the dependence of the amplitude of a quarter automobile suspension model on viscoelastic parameters. Yang et al [40] investigated the stochastic response of a hybrid energy harvesting system combining piezoelectric and electromagnetic technologies with viscoelastic materials, driven by narrowband colored noise.…”

Section: Introductionmentioning

confidence: 99%

Performance enhancement of a viscoelastic bistable energy harvester using time-delayed feedback control

Huang 黄,

Yang 杨,

Liu 刘

2024

Chinese Phys. B

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This paper focuses on the stochastic analysis of a viscoelastic bistable energy harvesting system under colored noise and harmonic excitation, and adopts the time-delayed feedback control to improve its harvesting effciency. Firstly, to obtain the dimensionless governing equation of the system, the original bistable system is approximated as a system without viscoelastic term by using the stochastic averaging method of energy envelope, and then is further decoupled to derive an equivalent system. The credibility of the proposed method is validated by contrasting the consistency between the numerical and the analytical results of the equivalent system under different noise conditions. The influence of system parameters on average output power is analyzed, and the control effect of the time-delayed feedback control on system performance is compared. The output performance of the system is improved with the occurrence of stochastic resonance(SR). Therefore, the signal-to-noise ratio expression for measuring SR is derived, and the dependence of its SR behavior on different parameters is explored.

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Section: Introductionmentioning

confidence: 99%

Performance enhancement of a viscoelastic bistable energy harvester using time-delayed feedback control

Huang 黄,

Yang 杨,

Liu 刘

2024

Chinese Phys. B

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“…Shaw and MacKnight (2018) proposed the Kelvin model, also known as the generalized Voigt model, because it connects several Voigt base models in series to overcome these shortcomings. Nwagoum Tuwa et al (2021) analyzed the structure of an automotive suspension, used the Kelvin–Voigt viscoelastic model for its dynamics analysis, and explored the effects of the viscoelastic model parameters on its performance index. The results show that the amplitude vibration of the car suspension decreases with the increase in relaxation time.…”

Section: Introductionmentioning

confidence: 99%

Multiobjective trajectory optimization of the wall‐building robot based on RBF–NSGA‐II in an uncertain viscoelastic contact environment

Shi

Wang

et al. 2023

Journal of Field Robotics

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To solve the problem of poor masonry quality of traditional wall‐building robots in an uncertain viscoelastic contact environment while reducing energy consumption, reducing contact forces with the environment, and improving work efficiency and smoothness, a segmented multiobjective trajectory optimization method is proposed based on radial basis function (RBF) and nondominated sorting genetic algorithm II (NSGA‐II). The method divides the motion trajectory into the free motion segment and the masonry segment. In the masonry segment, the compensation variable is introduced at the brick‐stopping position, and the values of design variables are obtained by Latin hypercube sampling. The relationship between the objective functions and the design variables is established by using an RBF substitution model. The optimal design is carried out by the NSGA‐II, and the compromise solution is obtained by using the technique for order preference by similarity to an ideal solution algorithm. On this basis, a multiobjective trajectory optimization method based on seven times nonuniform B‐spline curves is proposed for the free motion segment. According to the performance indicators, such as operation efficiency, trajectory smoothness, and energy consumption, the compromise solution is again sought and obtained. Finally, the proposed trajectory optimization method is compared with the standard gate‐shaped trajectory planning method. The results show that after trajectory optimization, the masonry efficiency of the wall‐building robot is improved by 28.36%, and the energy consumption and trajectory smoothness are reduced by 28.68% and 93.81%, respectively. At the same time, the contact force with the environment is reduced by 12.26%, and the masonry error is reduced from 2.67 to 0.13 mm. These results can contribute to the construction of walls and improve the masonry quality of bricks while considering other performance indicators.

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“…16 Chen et al studied the chaotic behaviour of a fractional suspension system with nonlinear terms both in the conservative and the damping force, 17 and the influence of the coefficients on the dynamical behaviour is analyzed. Tuwa et al studied the dynamics of a quarter car suspension with fractional order derivative by using multi-scale method, 18 and the bifurcations and the chaotic behaviour of the system are investigated. To make a balance between the cost and the performance of the suspension, the theories and control algorithms for the semi-active suspension have been proposed and were well summarized in Ref.…”

Section: Introductionmentioning

confidence: 99%

Optimal nonlinear polynomial control of a quarter-vehicle suspension system under harmonic and random road excitations

Zhao

Wang

2023

Journal of Low Frequency Noise, Vibration and Active Control

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The present paper proposes an optimal polynomial control strategy for a quarter-vehicle suspension system based on dynamic programming. The optimal control objective is to decrease the responses of sprung mass acceleration, suspension deformation and road excitation, which are reflected in the performance index. The optimal control force is obtained through the principle of dynamic programming, and the form of the optimal control force mainly depends on the form of the cost function. The optimal nonlinear polynomial control (NPC) force is derived by selecting the cost function in polynomial form. The linear feedback matrix and nonlinear feedback matrix in the NPC force are determined by the Riccati equation and Lyapunov equation, respectively. The root mean square (RMS) responses of the sprung mass acceleration, suspension deformation and road load of driving vehicles under deterministic and random road surfaces are calculated. The numerical results showed that the proposed NPC strategy has a better control effect over the traditional linear quadratic regulator (LQR), especially on the peak reduction of sprung mass acceleration. Finally, the optimal control force is divided into active control force and passive control force. The energy input of the optimal control force can be reduced by only inputting the active control force.

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Analysis of a quarter car suspension based on a Kelvin–Voigt viscoelastic model with fractional-order derivative

Cited by 11 publications

References 31 publications

Performance enhancement of a viscoelastic bistable energy harvester using time-delayed feedback control

Performance enhancement of a viscoelastic bistable energy harvester using time-delayed feedback control

Multiobjective trajectory optimization of the wall‐building robot based on RBF–NSGA‐II in an uncertain viscoelastic contact environment

Optimal nonlinear polynomial control of a quarter-vehicle suspension system under harmonic and random road excitations

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