Energy harvesting from car suspension system: Mathematical approach for half car model

2021 ◽  
Vol 15 (1) ◽  
pp. 7695-7714
Author(s):  
Tariq Darabseh ◽  
Doaa Al-Yafeai ◽  
Abdel-Hamid Ismail Mourad
Keyword(s):  
Significant Contribution ◽  
Excitation Frequency ◽  
Harmonic Excitation ◽  
Suspension System ◽  
Ride Quality ◽  
Car Model ◽  
Car Suspension ◽  
In Series ◽  
Piezoelectric Stacks ◽  
Stiffness And Damping

A significant contribution of this paper is developing a half car model with a built-in piezoelectric stack to evaluate the potential of harvesting power from the car suspension system. The regenerative car suspension system is modelled mathematically using Laplace transformation and simulated using MATLAB/Simulink. Two piezoelectric stacks are installed in series with the front and rear suspension springs to maintain the performance of the original suspension system in ride quality and comfortability. Half car model is subjected under harmonic excitation with acceleration of 0.5 g and velocity of 9.17 rad/s. The harvested voltage and power are tested in both time, and frequency domain approaches. The influence of the different parameters of the piezoelectric stack (number of stack layers and area to thickness) and car suspension (sprung and unsprung stiffness and damping coefficients) are examined. Also, the effect of road amplitude unevenness is considered. The results illustrate that the maximum generated voltage and power at the excitation frequency of 1.46 Hz are 33.51 V and 56.25 mW, respectively.

scholarly journals The Effect of the Pivot Stiffness on the Performances of Five-Pad Tilting Pad Bearings

Lubricants ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 61 ◽  
Author(s):  
Phuoc Vinh Dang ◽  
Steven Chatterton ◽  
Paolo Pennacchi
Keyword(s):  
Excitation Frequency ◽  
Experimental Results ◽  
Dynamic Force ◽  
Dynamic Coefficients ◽  
Pivot Bearing ◽  
Tilting Pad ◽  
In Series ◽  
Stiffness And Damping ◽  
Tilting Pad Journal Bearings

The role of the pivot flexibility in tilting-pad journal bearings (TPJBs) has become essential, particularly for bearings working at high applied load and relatively high rotor speeds. Predictions from a simple bearing model with rigid pivots show incorrect estimation of the dynamic coefficients in comparison with the experimental results. Normally, the more flexible the pad pivot, the lower the dynamic coefficients because the stiffness of the pivot takes in series with the stiffness and damping of the oil film. This paper investigates the influence of pivot stiffness on the dynamic force coefficients of two different five-pad TPJBs as a function of the applied static load and excitation frequency: rocker-backed pivot and spherical pivot bearings. In order to highlight the effect of the pivot stiffness in the spherical pivot bearing, displacement restriction components and elastic copper made shims have been used. Firstly, a thermo-elasto-hydrodynamic model for the static and dynamic characteristics of the two bearings is described. This model takes into account the flexibility of both pad and pivot. The pivot stiffnesses calculated by means of the Hertz theory and those obtained by experiments have been introduced and compared in the model. The clearance profiles of two tested bearing and the shaft center loci obtained by measurement and prediction are also shown. The dynamic coefficients of the two bearings obtained from the numerical simulation were compared with the experimental results. By the analysis it can be concluded that the effect of the pivot flexibility on the clearance profile, the shaft locus and on the dynamic coefficients is very significant. More important, it is important to estimate the pivot stiffness of each single pad using experimental measurements.

An Approach on Performance Comparison of Quarter Car Suspension System

2014 ◽  
Vol 984-985 ◽  
pp. 629-633
Author(s):  
Palanisamy Sathishkumar ◽  
Jeyaraj Jancirani ◽  
John Dennie
Keyword(s):  
Degrees Of Freedom ◽  
Performance Comparison ◽  
Suspension System ◽  
Vehicle Body ◽  
Vehicle Suspension ◽  
Passive Suspension ◽  
Passenger Comfort ◽  
Car Model ◽  
Car Suspension ◽  
Vehicle Suspension System

The present article introduces an approach that combines passive and active elements to improve the ride and passenger comfort. The main aim of vehicle suspension system should isolate the vehicle body from road unevenness for maintaining ride and passenger comfort. The ride and passenger comfort is improved by reducing the car body acceleration caused by the irregular road surface. The vehicle body along with the wheel system is modelled as two degrees of freedom one fourth of car model. The model is tested on road bump with severe peak amplitude excitations. In the conclusion, a comparison of active, semi-active and passive suspension is shown using MATLAB simulations.

Motion-based active disturbance rejection control for a non-linear full-car suspension system

2017 ◽  
Vol 232 (5) ◽  
pp. 616-631 ◽  
Author(s):  
Panshuo Li ◽  
James Lam ◽  
Kie Chung Cheung
Keyword(s):  
Disturbance Rejection ◽  
Control Method ◽  
Reference Signal ◽  
Suspension System ◽  
Ride Quality ◽  
Active Disturbance Rejection Control ◽  
Active Disturbance Rejection ◽  
Car Suspension ◽  
Disturbance Rejection Control ◽  
Non Linear

This paper investigates the vibration attenuation problem of a non-linear full-car suspension system and aims to stabilize the vehicle attitude to provide a good ride quality. First, with respect to heave motion, pitch motion and roll motion, the full-car suspension system is separated into three interconnected subsystems. For each subsystem, corresponding motion-based controllers are designed to attenuate the vibrations of the sprung mass. A non-linear tracking differentiator is used to track the reference signal and to obtain its derivative. An extended state observer is established to estimate the total disturbance, which includes all the uncertainties and the external disturbance. Based on the principle of active disturbance rejection control, proportional–derivative and fuzzy proportional–derivative controllers are designed to control the resulting linear system with total disturbance compensation. Finally, four actuator forces are computed online using the three motion-based controllers obtained. Simulations are carried out in different road conditions; the results illustrate the merits of the proposed control method.

Online Adaptive Neuro-Fuzzy Based Full Car Suspension Control Strategy

2015 ◽  
pp. 992-1039
Author(s):  
Laiq Khan ◽  
Shahid Qamar
Keyword(s):  
Degrees Of Freedom ◽  
Ride Comfort ◽  
Sliding Mode ◽  
Active Suspension ◽  
Suspension System ◽  
Car Model ◽  
Car Suspension ◽  
Neuro Fuzzy ◽  
Suspension Control ◽  
Soft Computing Technique

Suspension system of a vehicle is used to minimize the effect of different road disturbances for ride comfort and improvement of vehicle control. A passive suspension system responds only to the deflection of the strut. The main objective of this work is to design an efficient active suspension control for a full car model with 8-Degrees Of Freedom (DOF) using adaptive soft-computing technique. So, in this study, an Adaptive Neuro-Fuzzy based Sliding Mode Control (ANFSMC) strategy is used for full car active suspension control to improve the ride comfort and vehicle stability. The detailed mathematical model of ANFSMC has been developed and successfully applied to a full car model. The robustness of the presented ANFSMC has been proved on the basis of different performance indices. The analysis of MATLAB/SMULINK based simulation results reveals that the proposed ANFSMC has better ride comfort and vehicle handling as compared to Adaptive PID (APID), Adaptive Mamdani Fuzzy Logic (AMFL), passive, and semi-active suspension systems. The performance of the active suspension has been optimized in terms of displacement of seat, heave, pitch, and roll.

Modeling and Simulation of Full-Float Tractor Cab Suspension System Based on ADAMS

2011 ◽  
Vol 141 ◽  
pp. 364-369 ◽  
Author(s):  
Liang He ◽  
Si Hong Zhu ◽  
Hong Ling Zhu
Keyword(s):  
Vibration Isolation ◽  
Harmonic Excitation ◽  
Suspension System ◽  
Suspension Systems ◽  
Road Roughness ◽  
Cab Suspension ◽  
Stiffness And Damping ◽  
Vibration Isolation Performance ◽  
Isolation Performance ◽  
Better Than

Two kinds of full-float tractor cab suspension systems based on double crank mechanism and double rocking bar mechanism respectively for a power tractor safety cab was designed. CAD model of the tractor with cab was modeled by using Pro/E. The model was import into ADAMS, and virtual prototype of the tractor with cab suspension system was established. When stiffness and damping of tyres were set fixed, two kinds of suspension system were mounted to the cab. The vibration isolation performance of the two kinds of tractor cab suspension system was studied respectively when stiffness of cab suspension system changed from 20 N/mm to 200N/mm. Both harmonic excitation and a random road roughness excitation were applied vertically to the places where the tyres were mounted. The random road roughness excitation was simulated by using MATLAB/simulink. The simulation results showed that the comfort of the full-float tractor cab with suspension based on double rocking bar mechanism was better than the cab with suspension based on double crank bar mechanism. Therefore, the analysis results provided a basis for designing mechanism of full-float cab suspension system for power tractors.

Constrained H∞ control for a half-car model of an active suspension system with actuator time delay by predictor feedback

2019 ◽  
Vol 25 (10) ◽  
pp. 1673-1692 ◽  
Author(s):  
Keyvan Karim Afshar ◽  
Ali Javadi
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Active Suspension ◽  
Suspension System ◽  
The Body ◽  
System Stability ◽  
Ride Quality ◽  
Memory State ◽  
Car Model ◽  
Memory State Feedback

In this paper, constrained memory state-feedback H∝ control for a half-car model of an active vehicle suspension system with input time-delay in the presence of external disturbance has been investigated. Its prime goal is to improve the inherent trade-offs among power consumption, handling performance, ride quality, and suspension travel. The tire deflections and the suspension deflections are constrained by their peak response values in time domain using the generalized H2 ( GH∝) norm (energy-to-peak) performance, while the ride comfort performance of the suspension system is optimized by notion of the H∝ control (energy-to-energy) to measure the body accelerations including both the heaving and the pitching motions. Similar to the well-known prediction-based methods, the prediction vector of the system is achieved to construct the memory state-feedback controller. Using the prediction vector, sufficient conditions guaranteeing closed-loop system stability as well as disturbance attenuation are obtained as some delay-dependent linear matrix inequalities (LMIs). In addition, some LMIs are added to limit the gain of the controller. In the case of feasibility, obtained LMIs provide the stabilizing gain of the memory controller. The proposed approach is applied to a half-car model of an active suspension system considering the actuator time-delay to illustrate the effectiveness of the proposed method.

scholarly journals DEVELOPMENT OF SHAPE MEMORY ALLOY BASED QUARTER CAR SUSPENSION SYSTEM

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Sathish Kumar Palaniappan ◽  
Rajasekar Rathanasamy ◽  
Sivasenapathy Chellamuthu ◽  
Samir Kumar Pal
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Vibration Analysis ◽  
Theoretical Method ◽  
Suspension System ◽  
Quarter Car Model ◽  
Suspension Systems ◽  
Car Model ◽  
Car Suspension ◽  
Quarter Car

It is well-known that suspension systems plays a major role in automotive technology. Most of the today’s vehicle applies a passive suspension systems consisting of a spring and damper. The design of automotive suspension have been a compromise between passenger comfort, suspension travel and road holding ability. This work aims in reducing the suspension travel alone by developing a quarter car model suspension for a passenger car to improve its performance by introducing shape memory alloy spring (Nitinol) instead of traditional spring. A two way shape memory alloy spring possesses two different stiffness in its two different phases (martensite and austenite). In this study, road profile is considered as a simple harmonic profile and vibration analysis of aminiature quarter car model suspension system has been carried out experimentally. Using theoretical method, the displacement of the sprung mass is also studied and discussed. The vibration analysis have been carried out for the suspension system at both phases of the spring and the results gives a significant improvement in reducing the displacement of sprung mass for various excitation frequencies.

scholarly journals A COMPARATIVE ANALYSIS OF A CONVENTIONAL SUSPENSION SYSTEM WITH AN INERTER BASED CONVENTIONAL SUSPENSION SYSTEM FOR A PASSENGER CAR

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Lalit Pankaj Grover
Keyword(s):  
Ride Comfort ◽  
Suspension System ◽  
Passenger Car ◽  
Quarter Car Model ◽  
Suspension Systems ◽  
Car Model ◽  
In Series ◽  
Significant Performance ◽  
Quarter Car ◽  
The Impact

This paper discusses the impact of adding an inerter to the conventional suspension system for a passenger car. The Inerter was recently introduced as an ideal mechanical twoterminal element which is a substitute for the mass element with the applied force, proportional to the relative acceleration across the terminals. Till now, ideal Inerters have been applied to Formula 1 cars, motorcycle and train suspension systems, in which significant performance improvement was achieved. This paper explores the effect of adding an inerter (in series) to the conventional suspension system for a passenger car in terms of ride comfort by comparing the amplitude of displacement and jerk of sprung and unsprung mass. This is accomplished by comparing the ride comfort of a quarter-car model with a conventional suspension system to the ride comfort of a quarter-car model with an inerter added in series.

Simulation of Quarter-Car Model with Magnetorheological Dampers for Ride Quality Improvement

2018 ◽  
Vol 10 (3) ◽  
Author(s):  
Sunil Kumar Sharma ◽  
Rakesh Chandmal Sharma
Keyword(s):  
Degrees Of Freedom ◽  
Active Suspension ◽  
Suspension System ◽  
Ride Quality ◽  
Bingham Model ◽  
Passive Suspension ◽  
Quarter Car Model ◽  
Car Model ◽  
Passive Suspension System ◽  
Quarter Car

A semi-active suspension system using Magnetorheological (MR) damper overcomes all the inherent limits of passive and active suspension systems and combines the advantages of both. This paper gives a concise introduction to the suspension system of a passenger vehicle which is presented along with the analysis of semi-active suspension system using MR fluid dampers based on Bingham model. MR dampers are filled with MR fluids whose properties can be controlled by applying voltage signal. To further prove the statement, a quarter car model with two degrees of freedom has been used for modeling the suspension system the sprung mass acceleration of passive suspension system has been compared with the semi-active suspension system using the Bingham model for MRF damper. Simulink/MATLAB is used to carry out the simulation. The results drawn show that the semi-active suspension system performed better than the passive suspension system in terms of vehicle stability.

Vibration Control of Quarter Car Model Using Modified PID Controller

2021 ◽  
Vol 21 (2) ◽  
pp. 1-6
Author(s):  
Mustafa Mohammed Matrood ◽  
Ameen Ahmed Nassar
Keyword(s):  
Pid Controller ◽  
Suspension System ◽  
Feedback Signal ◽  
Quarter Car Model ◽  
Car Model ◽  
Feedback Path ◽  
Car Suspension ◽  
Integral Action ◽  
Passive Suspension System ◽  
Quarter Car

The purpose of this research is to control a quarter car suspension system and also to reduce the fluctuated movement caused by passing thevehicle over road bump using modified PID (Proportional Integral and Derivative) controller. The proposed controller deals with dual loopfeedback signals instead of single feedback signal as in the conventional PID controller. The structure of the modified PID controller wascreated by moving the proportional and derivative actions in the feedback path while remaining the integral action in the forward path. Thus,high accuracy results were obtained. Firstly, modelling and simulation of linear passive suspension system for a quarter car system wasperformed using Matlab – Simulink software. Then the linear suspension system was activated and simulated by using an active hydraulicactuator to generate the necessary force which can be regulated and controlled by the proposed controller. The performance of whole systemhas been enhanced with a modified PID controller.

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