Abstract

This paper describes a numerical solution to characterize the deformation of a bellows-type air spring for automotive suspensions. In a first step, the shell structure is modeled as a practically inextensible membrane that has virtually no bending stiffness; the structure has only a pneumatic-elastic deformation due to the compressibility of the pressurized air. In a second step, a finite element modeling of the device using a commercial code is carried out in order to validate the first model. Complementing this work, an experimental procedure based on a pseudo-dynamic technique was implemented to simulate the behavior of the pneumatic suspension bellows subjected to dynamic loads. The method consists of a combined numeric/experimental procedure simulating a suddenly applied load.

Highlights

  • The historical development of vehicle suspensions equipped with pneumatic spring elements has a remarkable temporal extension

  • Actual communications about the design and testing of pneumatic suspensions tend to be currently presented in a resume format, which is normally aimed at advertising by manufacturers and designers, who want to signify their engineering progress

  • Conclusions may be drawn from the work here presented on the stiffness of bellows-type air springs used in automotive suspension:

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Summary

Introduction

The historical development of vehicle suspensions equipped with pneumatic spring elements has a remarkable temporal extension. By 1950 onwards, The actual performance of automotive bellows suspension has reached an important technologic air suspensions experienced a large development as many transportation companies decided to standard through the implementation of pressure/stability control electronic hardware in railway implement those suspension systems in their vehicles, which resulted in quiet and smooth running. Of the thedynamics elastic element considered by Löcken and Welsch was not a toroidal stiffness the coupled natural frequencies dampingby shell heating like the and one spring analyzed in theincrease presentbywork Such a effect; shape the conditioned the springand geometry methods were studied. This spring consists of two or more toroidal-shaped shells enclosing pressurized gas A pseudo-dynamic method can be implemented, as described of this work

The Displacement Field of the Toroidal Shell
The Pneumatic Stiffness
The Equilibrium Equation
Example of Loading a Single Cell Bellows of a Pneumatic Suspension
Applications to the Dynamic Analysis of Automotive Suspensions
The Direct Time Integration Algorithm
Operation Principles
Engineering Design of the Rig and Applications
Testing a Bellows
Procedures and Results
Pseudo-Dynamic
Conclusions
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