Dynamic spring behavior

Overview

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AUTHORS

Bernard GIRONNET: Doctor of Science - Professor at the École nationale supérieure d'arts et métiers (ENSAM)
Guy LOURADOUR: Doctor of Science - Professor at the École nationale supérieure d'arts et métiers (ENSAM)

INTRODUCTION

The aim of this article is to propose two methods for approximating the dynamic behavior of a spring.

Models that neglect the mass of the spring or assume that the deformation of the spring is known (Rayleigh method) are merely academic exercises.

In today's applications, where acceleration quantities have to be taken into account, it is essential to know the natural frequencies of a spring, the displacements and speeds of its coils, and the forces applied at the ends.

This will be illustrated by the calculation of valve return springs in an internal combustion engine.

Note :

The notations and symbols used in this article are defined in the table of notations and symbols and the figure 1 .

Note :

This text uses extracts from the courses on Thermal Machines and Shaft Dynamics by Messrs Gironnet and Louradour, professors at ENSAM, Paris.

Readers are also referred to the Elastic connections section of this treatise.