Optimal Design of Active Suspensions Using Damping Control

1997 ◽  
Vol 119 (4) ◽  
pp. 609-611 ◽  
Author(s):  
Junghsen Lieh
Keyword(s):  
Feedback Signal ◽  
Active Suspensions ◽  
Active Systems ◽  
The Road ◽  
Quarter Car Model ◽  
Car Model ◽  
Damping Control ◽  
Road Roughness ◽  
Optimal Damping ◽  
Second Order Equations

This paper studies the effect of optimal damping control suspensions on vehicle ride performance. The gain matrix is developed from second-order equations with the road roughness represented by a stochastic process. With only velocities as the feedback signal, the number of unknowns and measurements is reduced leading to more efficiency in data processing. The control is implemented on a quarter-car model which includes the tire damping effect. The spectral density is compared with those for passive and fully active systems.

scholarly journals Mixed Skyhook and FxLMS Control of a Half-Car Model with Magnetorheological Dampers

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
Piotr Krauze ◽  
Jerzy Kasprzyk
Keyword(s):  
Control Strategies ◽  
Mr Damper ◽  
Front Axle ◽  
Vehicle Body ◽  
Magnetorheological Dampers ◽  
The Road ◽  
Quarter Car Model ◽  
Car Model ◽  
Road Roughness ◽  
Suspension Model

The problem of vibration attenuation in a semiactive vehicle suspension is considered. The proposed solution is based on usage of the information about the road roughness coming from the sensor installed on the front axle of the vehicle. It does not need any preview sensor to measure the road roughness as other preview control strategies do. Here, the well-known Skyhook algorithm is used for control of the front magnetorheological (MR) damper. This algorithm is tuned to a quarter-car model of the front part of the vehicle. The rear MR damper is controlled by the FxLMS (Filtered-x LMS) taking advantage of the information about the motion of the front vehicle axle. The goal of this algorithm is to minimize pitch of the vehicle body. The strategy is applied for a four-degree-of-freedom (4-DOF) vehicle model equipped with magnetorheological dampers which were described using the Bouc-Wen model. The suspension model was subjected to the road-induced excitation in the form of a series of bumps within the frequency range 1.0–10 Hz. Different solutions are compared based on the transmissibility function and simulation results show the usefulness of the proposed solution.

scholarly journals The vibrations induced by surface irregularities in road pavements – a Matlab® approach

2013 ◽  
Vol 6 (3) ◽  
pp. 267-275 ◽  
Author(s):  
M. Agostinacchio ◽  
D. Ciampa ◽  
S. Olita
Keyword(s):  
Dynamic Load ◽  
Variable Speed ◽  
The Road ◽  
Quarter Car Model ◽  
Car Model ◽  
Road Pavement ◽  
Vehicle Mass ◽  
Road Roughness ◽  
Surface Irregularities ◽  
Iso 8608

Abstract Purpose The paper tackles the theme of evaluating dynamic load increases that the vehicle transfers to the road pavement, due to the generation of vibration produced by surface irregularities. Method The study starts from the generation, according to the ISO 8608 Standard, of different road roughness profiles characterized by different damage levels. In particular, the first four classes provided by ISO 8608 were considered. Subsequently, the force exchanged between the pavement and three typologies of vehicles (car, bus and truck) has been assessed by implementing, in Matlab®, the QCM (Quarter Car Model) characterized by a quarter vehicle mass and variable speed from 20 to 100 km/h. The analysis allows determining the amount of dynamic overload that causes the vibrational stress. Results/Conclusions The paper shows how this dynamic overload may be predetermined as a function of the pavements surface degradation. This is a useful reference for the purposes of designing and maintaining road pavements.

1⁄4 Car Model for Suspension Trim Corrector Performances Evaluation

2016 ◽  
Vol 823 ◽  
pp. 205-210
Author(s):  
Adrian Ioan Niculescu
Keyword(s):  
Contact Force ◽  
Harmonic Functions ◽  
Degrees Of Freedom ◽  
The Body ◽  
Vertical Acceleration ◽  
Vertical Movements ◽  
The Road ◽  
Quarter Car Model ◽  
Car Model ◽  
Quarter Car

The paper presents a complex quarter car model obtained with ADAMS software, View module, useful in the first stage of suspension dimensioning and optimization.The model is equipped with compression and rebound stopper buffer and suspension trim corrector.The proposed quarter car model with two degrees of freedom (wheel and body) performs all these goals allowing changing:Geometrical elementsPosition of equilibrium, depending on vehicle load;Trim correction;Elastic and dissipative characteristics of the suspension and tire;Suspension stroke;Road profile, assessed either by simple or summation of harmonic functions or reproducing real roadsBuffers (for stroke limitation) position and characteristics;The models developed provide information on:Vertical stability assessed by vertical movements of the body and the longitudinal and transversal stability evaluated based on adherence characterized by wheel ground contact force and frequency of soil detachment wheel.Comfort assessed on the basis of body vertical acceleration and collision forces to the stroke ends.The body-road clearanceThe trim corrector efficiencyAll above performances evaluated function the road unevenness, acceleration, deceleration, turning regime.The damping characteristic is defined by damping forces at different speed for each strokes respectively one for rebound and other for compression.The contact force road-wheel is defined based tire rigidity law.The stopper buffer forces on rebound and compression are defined based each specific rigidity characteristics.The road excitation is realized with a function generator.The software allow the model evolution visualisation in real time, also generating the diagrams of displacements, forces, accelerations, speeds, for each elements or for relative evolution between diverse elements.The simulation was realized for unloaded and fully loaded car using a road generated by a sum of harmonic functions presented in equation (8).The excitation covers the specific frequencies area, being under the body frequencies up to the wheel proper frequencies.The realized ¼ car model, have reached the goal to evaluate the suspension trim correction advantages.The simulations confirm the trim corrector increases the suspension performances, thus for the analyzed case the trim corrector increase simultaneous:Body-ground clearance (evaluated by body higher increasing) between 18.5÷55.1 %Body stability (evaluated by maximal body displacement) between 9.8÷11.4 %Body comfort (evaluated by maximal body acceleration) between 3.4÷35.5 %Adherence (evaluated by maximal and RMS wheel-groundcontact force variation) between 7.0÷12.1 %Body and axles protection (evaluated by buffer strike force) between 10.8÷38.2 %

A Comfort Oriented Control Strategy for Semi-Active Suspensions Based on Half Car Model

2010 ◽  
Author(s):  
Cristiano Spelta ◽  
Diego Delvecchio ◽  
Sergio M. Savaresi
Keyword(s):  
Optimal Control ◽  
Control Strategy ◽  
Optimal Performance ◽  
Optimal Control Strategy ◽  
Active Suspensions ◽  
Quarter Car Model ◽  
Car Model ◽  
Control Goal ◽  
Quarter Car ◽  
Effective Description

This paper is devoted to the design of a novel semi-active comfort-oriented control strategy based on the “half-car” modeling of the vehicle. The half car model is an effective description of the vertical behaviors in a vehicle like a motorcycle, since it is able to represent both the heave and pitch dynamics. A recent control strategy (the “Mix-1-Sensor”) have been proven to be the quasi-optimal control strategy when the system is described with a quarter car model and the comfort objective is the control goal. This paper presents an analysis of the performances of the Mix-1-Sensor implemented in a half car: this strategy is able to guarantee a quasi optimal performance in terms of heave dynamics but it is not able to manage the pitch dynamics efficiently. A pitch-oriented extension of this strategy is proposed in order to guarantee a better filtering of the pitch dynamics.

scholarly journals On the Benefits of Semi-Active Suspensions with Inerters

2012 ◽  
Vol 19 (3) ◽  
pp. 257-272 ◽  
Author(s):  
Xin-Jie Zhang ◽  
Mehdi Ahmadian ◽  
Kong-Hui Guo
Keyword(s):  
High Performance ◽  
Control Method ◽  
Hybrid Control ◽  
Active Suspension ◽  
Vertical Acceleration ◽  
Active Suspensions ◽  
Quarter Car Model ◽  
Suspension Systems ◽  
Car Model ◽  
Quarter Car

Inerters have become a hot topic in recent years especially in vehicle, train, building suspension systems, etc. Eight different layouts of suspensions were analyzed with a quarter-car model in this paper. Dimensionless root mean square (RMS) responses of the sprung mass vertical acceleration, the suspension travel, and the tire deflection are derived which were used to evaluate the performance of the quarter-car model. The behaviour of semi-active suspensions with inerters using Groundhook, Skyhook, and Hybrid control has been evaluated and compared to the performance of passive suspensions with inerters. Sensitivity analysis was applied to the development of a high performance semi-active suspension with an inerter. Numerical simulations indicate that a semi-active suspension with an inerter has much better performance than the passive suspension with an inerter, especially with the Hybrid control method, which has the best compromise between comfort and road holding quality.

scholarly journals Chaotic vibration of a quarter-car model excited by the road surface profile

2008 ◽  
Vol 13 (7) ◽  
pp. 1373-1383 ◽  
Author(s):  
Grzegorz Litak ◽  
Marek Borowiec ◽  
Michael I. Friswell ◽  
Kazimierz Szabelski
Keyword(s):  
Surface Profile ◽  
Road Surface ◽  
The Road ◽  
Quarter Car Model ◽  
Car Model ◽  
Chaotic Vibration ◽  
Quarter Car

Design of Non-Fragile H∞ Controller for Active Vehicle Suspensions

2005 ◽  
Vol 11 (2) ◽  
pp. 225-243 ◽  
Author(s):  
Haiping Du ◽  
James Lam ◽  
Kam Yim Sze
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
A Priori ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Active Suspensions ◽  
Vehicle Suspensions ◽  
Quarter Car Model ◽  
Car Model ◽  
Controller Gain

In this paper we present an approach to design the non-fragile H ∞ controller for active vehicle suspensions. A quarter-car model with active suspension system is considered in this paper. By suitably formulating the sprung mass acceleration, suspension deflection and tire deflection as the optimization object and considering a priori norm-bounded controller gain variations, the non-fragile state-feedback H ∞ controller can be obtained by solving a linear matrix inequality. The designed controller not only can achieve the optimal performance for active suspensions but also preserves the closed-loop stability in spite of the controller gain variations.

Proposition of Estimation Method for Repairing the Roughness in Expansion Joints of Expressway Bridges

2012 ◽  
Vol 256-259 ◽  
pp. 1742-1747
Author(s):  
Fukada Saiji ◽  
Matsumoto Takeya ◽  
Aiba Tadakazu ◽  
Okada Hiroyuki ◽  
Momiyama Yoshiyuki
Keyword(s):  
Short Wavelength ◽  
Estimation Method ◽  
Ground Vibration ◽  
Expansion Joints ◽  
Quarter Car Model ◽  
Car Model ◽  
Road Roughness ◽  
Environmental Vibration ◽  
Vibration Problems ◽  
The Impact

When a truck passes on the expansion joint of an expressway bridge, the tire spring vibration of the truck is generated by short wavelength road roughness. Moreover, environmental vibration problems, such as infrasound and ground vibration, occur as a result of the impact force of the tire spring vibration. Then, IRI_10 analysis using a quarter car model was carried out using short wavelength road roughness in the expansion joints of Japanese expressways. This study proposed the IRI_10 value '7 mm/m' and an estimation method for repairing short wavelength road roughness.

Nonlinear Interval Optimization of Asymmetric Damper Parameters for a Racing Car

2021 ◽  
pp. 2150013
Author(s):  
Tian Chai ◽  
Xu Han ◽  
Jie Liu ◽  
Bing Zhou ◽  
Fei Lei ◽  
...  
Keyword(s):  
Taylor Series Expansion ◽  
Optimization Method ◽  
Dynamic Responses ◽  
Approximation Model ◽  
Nonlinear Dynamic Response ◽  
The Road ◽  
Quarter Car Model ◽  
Car Model ◽  
Fluctuation Range ◽  
Performance Evaluation Index

Uncertainties in parameters can affect racing car performance. In this study, a nonlinear interval suspension damping optimization method is proposed to improve the road holding of a racing car. To evaluate the dynamic responses of racing cars under a random road input and a bump input with interval uncertain parameters, a quarter car model with a two-stage asymmetric damper is established. Then, a quadratic approximation model with second derivative terms is developed by second-order Taylor series expansion and dimension reduction to calculate the nonlinear dynamic response of the vehicle. Interval analysis of the objective function and constraints is carried out using interval arithmetic to eliminate nesting optimization and make the optimization efficient. The results show that the proposed optimization method can improve road holding performance, effectively suppress the fluctuation range of the road holding performance evaluation index, and ensure the robustness of the design scheme.

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