Mathematical Modeling and Characteristic Analysis of the Vertical Stiffness for Railway Vehicle Air Spring System

Xu, Lei

doi:10.1155/2020/2036563

Cited by 6 publications

(6 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results of our research have made it possible to establish the dependence of the main characteristics of the pneumatic spring hanging system on the geometrical parameters of the connecting pipeline. This complements the studies reported in works [2][3][4][5][6][7][8][9][10][11][12][13][14]. Our results make it possible to reasonably choose the geometrical parameters of the connecting pipeline under the conditions of design and subsequent operation of rolling stock.…”

Section: Discussion Of Results Of the Effect Of Geometric Parameters ...supporting

confidence: 82%

“…In [11], a dynamic model of vertical rigidity based on the laws of thermodynamics and hydrodynamics was developed, and the geometric parameters of the pneumatic spring were determined by the analytical method. The process of changing the state of the thermodynamic system was considered as iso-entropic.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…It should be noted that the reviewed works [6][7][8][9][10][11][12][13][14][15][16][17][18] report studies into the characteristics of the pneumatic spring suspension system based on equivalent mechanical and thermodynamic models.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

See 2 more Smart Citations

Determining patterns in the influence of the geometrical parameters of the connecting pipeline on the dynamic parameters of the pneumatic spring of railroad rolling stock

Kuzyshyn

Kovalchuk

Stankevych

et al. 2023

EEJET

View full text Add to dashboard Cite

The object of this study is the process of determining the dynamic indicators of the pneumatic spring, which is used as the main element of the second stage of spring suspension in the high-speed rolling stock of the railroad, based on the influence of the geometric parameters of the connecting pipeline. It has been established that the dynamic indicators of rolling stock mainly depend on the operation of the pneumatic spring, the characteristics of which are largely determined by the geometric parameters of the connecting element between the pneumatic spring and the additional tank. A mathematical model of oscillations of a dual-mass system has been constructed, the elements of which are connected through a pneumatic spring suspension system. The operation of the pneumatic system is described using the Boyle–Mariotte equations, the state of the ideal gas, the energy for the flow in the connecting pipeline, and the law of conservation of energy. Theoretical studies into the influence of the diameter and length of the connecting element of the pneumatic spring suspension system on energy loss and damping coefficient for the cycle of its operation and the rigidity of the pneumatic spring have been carried out. It was established that the dependence of the stiffness of the pneumatic spring, while changing the value of the diameter of the connecting element from 6 mm to 30 mm, is nonlinear. In the process of compression, the rigidity of the pneumatic spring changes with the length of the connecting element of 1 m from 927 kN/m, static rigidity, to 497 kN/m, dynamic rigidity. The dependences of energy loss and damping coefficient for the operation cycle of the pneumatic spring suspension system based on the hysteresis loop have been constructed. It was found that the difference between the damping coefficient in the process of compression and expansion of the pneumatic spring is no more than 4 %. It was established that the design of high-speed rolling stock is impossible without high-quality modeling of the process of operation of the pneumatic spring suspension system

show abstract

Section: Discussion Of Results Of the Effect Of Geometric Parameters ...supporting

confidence: 82%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

See 1 more Smart Citation

Determining patterns in the influence of the geometrical parameters of the connecting pipeline on the dynamic parameters of the pneumatic spring of railroad rolling stock

Kuzyshyn

Kovalchuk

Stankevych

et al. 2023

EEJET

View full text Add to dashboard Cite

show abstract

“…Te air spring volume variations are determined using energy conservation law and mass. Also, the variations of an air spring's stifness are directly proportional to its varying effective area, just as its volume is proportional to the height [39]. Meanwhile, the model's input parameters are often collected experimentally.…”

Section: Types Of Pneumatic Suspension Systemmentioning

confidence: 99%

The Evolution of Vehicle Pneumatic Vibration Isolation: A Systematic Review

Atindana,

Xu,

Nyedeb

et al. 2023

Shock and Vibration

View full text Add to dashboard Cite

Whole-body vibration (WBV) is a significant concern for vehicle users as it can negatively impact their health and comfort. As such, effective vibration isolation is critical in vehicle suspension design. The ability of a vehicle suspension to isolate vibrations depends primarily on the suspension design and the type of springs used. One type of spring that has proven advantageous for vibration isolation is the air spring. Air springs can vary frequencies and adjust their stiffness in response to different loading conditions, making them ideal for meeting both suspension load-carrying and occupants’ comfort requirements. Pneumatic (air) suspension has been in use in the automotive industry for several decades and has undergone significant advancements during this period. This paper presents a systematic review of pneumatic suspension since its inception. The review highlights different air spring modeling techniques, types of pneumatic suspension, and control methods. The study also discusses the functional flexibility of pneumatic suspension, its ability to offer a wide range of control options to drivers, and its broad application in almost all ranges of vehicles, including chassis, cabin, and seat suspension systems. In addition, this paper presents a summary of the pros and cons of pneumatic suspension and suggests future research directions. The advantages of pneumatic suspension include effective vibration isolation, improved ride comfort, and the ability to adjust suspension stiffness and ride height. On the other hand, the disadvantages include higher cost and complexity compared to other types of suspension. Overall, the findings of this review demonstrate that pneumatic suspension is a viable solution for vehicle suspension design, particularly in situations where vibration isolation and ride comfort are critical.

show abstract

“…A universal analytical model is established based on the Ideal Gas Law [25] expressed as equation ( 1), referring to the modeling method of automobile suspension air spring [26,27]. When compressed slowly, the air temperature inside the spring can be considered constant.…”

Section: Analytical Model 321 General Expression Of Vertical Stiffnessmentioning

confidence: 99%

Mechanical characteristic and analytical model of novel air spring for ergonomic mattress

Yao

Shen

Liu

2021

Mechanics & Industry

View full text Add to dashboard Cite

Conventional mattresses can not adjust precisely according to the individualized spinal alignment. In addition, there is no theoretical basis for quantitative design and adjustment of mattresses firmness. The purpose of this paper is to overcome deficiency of traditional air chambers for research of ergonomic mattresses in accordance with spinal alignment. A novel variable stiffness air spring was designed and static experiments were conducted to analyze its mechanical properties and its influence factors. An analytical model based on geometric parameters and initial internal pressure was established. The results showed that the air spring has nonlinear stiffness during the working process. Furthermore, the model can predict the load of the air spring accurately at any equilibrium position with an average error of 6.96%. The initial stiffness, volume and assembly height could be predicted by means of geometric parameters and initial internal pressure. The conclusions are that the novel air spring can obtain predictable stiffness compared with cubic and the rod-shaped air chambers, which provides a theoretical basis and possible solution for the study of stiffness adaptive ergonomic mattress according to spinal alignment.

show abstract

Mathematical Modeling and Characteristic Analysis of the Vertical Stiffness for Railway Vehicle Air Spring System

Cited by 6 publications

References 19 publications

Determining patterns in the influence of the geometrical parameters of the connecting pipeline on the dynamic parameters of the pneumatic spring of railroad rolling stock

Determining patterns in the influence of the geometrical parameters of the connecting pipeline on the dynamic parameters of the pneumatic spring of railroad rolling stock

The Evolution of Vehicle Pneumatic Vibration Isolation: A Systematic Review

Mechanical characteristic and analytical model of novel air spring for ergonomic mattress

Contact Info

Product

Resources

About