Studies of Air Spring Mathematical Model and its Performance in Cab Suspension System of Commercial Vehicle

The tests about elastic properties of a commercial vehicle cab suspension air spring were carried out. And the experimental results show that: the higher the initial pressure of the air bag, the greater its carrying capacity, and the bigger the damping; at the same excitation frequency and the vibration amplitude, the dynamic stiffness of the air spring is gradually increased as the initial pressure is increased; in the low frequency range, at the same vibration amplitude and inside pressure, the dynamic stiffness of the air spring is increased as the increasing of the excitation frequency.

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Studies of properties of the seat suspension system with air spring

EPJ Web of Conferences ◽

10.1051/epjconf/201921302101 ◽

2019 ◽

Vol 213 ◽

pp. 02101

Author(s):

Piotr Woś ◽

Ryszard Dindorf

Keyword(s):

Mathematical Model ◽

Spectral Density ◽

Suspension System ◽

Air Spring ◽

Vibration Acceleration ◽

Seat Suspension ◽

Power Spectral ◽

Spring Force ◽

Seat Vibration ◽

The Mathematical Model

This article presents issues related to the study of the seat vibration isolating properties of the working machine. The spring force of the suspension system is realized by means of a pneumatic spring. The mathematical model of the air spring is presented. The results of research presented in the form of power spectral density of the vibration acceleration of the suspension system.

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Neuro-Fuzzy Volume Control for Quarter Car Air-Spring Suspension System

IEEE Access ◽

10.1109/access.2021.3081872 ◽

2021 ◽

pp. 1-1

Author(s):

Mohamed Essam Shalabi ◽

Ahmed M. R. Fath Elbab ◽

Haitham El-Hussieny ◽

A. A. Abouelsoud

Keyword(s):

Suspension System ◽

Volume Control ◽

Air Spring ◽

Neuro Fuzzy ◽

Spring Suspension ◽

Quarter Car

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Effect of Rail Vehicle–Track Coupled Dynamics on Fatigue Failure of Coil Spring in a Suspension System

Applied Sciences ◽

10.3390/app11062650 ◽

2021 ◽

Vol 11 (6) ◽

pp. 2650

Author(s):

Sunil Kumar Sharma ◽

Rakesh Chandmal Sharma ◽

Jaesun Lee

Keyword(s):

Mathematical Model ◽

Fatigue Fracture ◽

Suspension System ◽

Railway Vehicle ◽

Coil Spring ◽

Internal Resonances ◽

Rail Vehicle ◽

Rail Vehicles ◽

Stress Result ◽

Wheel Track

In a rail vehicle, fatigue fracture causes a significant number of failures in the coil spring of the suspension system. In this work, the origin of these failures is examined by studying the rail wheel–track interaction, the modal analysis of the coil springs and the stresses induced during operation. The spring is tested experimentally, and a mathematical model is developed to show its force vs. displacement characteristics. A vertical 10-degree-of-freedom (DOF) mathematical model of a full-scale railway vehicle is developed, showing the motions of the car body, bogies and wheelsets, which are then combined with a track. The springs show internal resonances at nearly 50–60 Hz, where significant stresses are induced in them. From the stress result, the weakest position in the innerspring is identified and a few guidelines are proposed for the reduction of vibration and stress in rail vehicles.

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World Experience in Creating Mathematical Models of Air Springs: Advantages and Disadvantages

Science and Transport Progress Bulletin of Dnipropetrovsk National University of Railway Transport ◽

10.15802/stp2021/245974 ◽

2021 ◽

pp. 25-42

Author(s):

A. Y Kuzyshyn ◽

S. A Kostritsia ◽

Yu. H Sobolevska ◽

А. V Batih

Keyword(s):

Mathematical Model ◽

Finite Element ◽

Mathematical Models ◽

Dynamic Behavior ◽

High Speed ◽

Vertical Direction ◽

Rolling Stock ◽

Air Spring ◽

Advantages And Disadvantages ◽

Mechanical Models

Purpose. Taking into account the production and commissioning of modern high-speed rolling stock, the authors are aimed to analyze the currently created mathematical models describing the dynamic behavior of the air spring, systematize them and consider the advantages and disadvantages of each model type. Methodology. For the analysis, a comparative chronological method was used, which makes it possible to trace the development of several points of view, concepts, theories. In accordance with the adopted decision equations, the existing models of air springs were divided into three groups: mechanical, thermodynamic and finite-elements. When analyzing mathematical models, the influence of a number of parameters on the dynamic behavior of the air spring, such as disturbing force frequency, heat transfer, nonlinear characteristics of materials, the shape of the membrane, etc., was considered. Findings. A feature of mechanical models is the determination of input parameters based on the analysis of experimental results, requires access to complex measuring equipment and must be performed for each new model of an air spring separately. Unlike mechanical models, which allow taking into account the damping effect of an air spring in the horizontal and vertical direction, thermodynamic models are mainly focused on studying the dynamic behavior of an air spring in the vertical direction. The use of the finite element method makes it possible to most accurately reproduce the dynamic behavior of an air spring, however, it requires significant expenditures of time and effort to create a finite element model and perform calculations. Originality. Mathematical models of the dynamic behavior of an air spring are systematized, and the importance of their study in conjunction with a spatial mathematical model of high-speed rolling stock is emphasized. Practical value. The analysis of the mathematical models of the dynamic behavior of the air spring shows the ways of their further improvement, indicates the possibility of their use in the spatial mathematical model of the rolling stock in accordance with the tasks set. It will allow, even at the design stage of high-speed rolling stock, to evaluate its dynamic characteristic and traffic safety indicators when interacting with a railway track.

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Test Analysis of a Six-Wheel Hydraulic Active Suspension Control System

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.591-593.1710 ◽

2012 ◽

Vol 591-593 ◽

pp. 1710-1714

Author(s):

Wei Chen ◽

Zhi Yao ◽

Qing Bo Zhao ◽

Tong Jian Wang

Keyword(s):

Mathematical Model ◽

Control System ◽

Active Suspension ◽

Hydraulic Cylinder ◽

Suspension System ◽

Quantitative Feedback Theory ◽

Test Analysis ◽

Suspension Control ◽

System Robustness ◽

Road Performance

In order to make the active hydraulic suspension system to adaptive the ground. Taking the asymmetric valve controlled hydraulic cylinder as actuators, a six wheels hydraulic active suspension was designed. It is difficult to analysis of the six wheels system. So this paper established the single wheel’s mathematical model to instead analysis of the whole system, designed QFT (Quantitative Feedback Theory) controller which can be a solution to the system robustness, researched the hydraulic active suspension system. The results show that it is good for tracking performance of the hydraulic cylinder which taking the asymmetric valve controlled as actuators, system responses timely and the controller can meet the controlling requirements. This hydraulic active suspension system can improve off-road performance of engineering vehicles.

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