Article | REF: R6191 V1

Vibrations of industrial structures - Modeling, predictive and interpretation tools

Author: Bernard GARNIER

Publication date: June 10, 2009, Review date: October 4, 2021

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!


Français

3. Mass-spring diagrams

3.1 Basic equation

In all cases, vibrations involve a permanent exchange between kinetic energy (associated with the vibratory speed and mass of the moving elements) and deformation energy (associated with the dynamic stresses linked to the rigidity of the elements deformed by the vibratory motion).

The most elementary way of representing these exchanges is to consider the oscillation of a rigid mass M (pure kinetic energy) supported by a massless spring of stiffness K (pure deformation energy). Simply write down the equilibrium of the system to find the well-known elementary equation, noting

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!


The Ultimate Scientific and Technical Reference

A Comprehensive Knowledge Base, with over 1,200 authors and 100 scientific advisors
+ More than 10,000 articles and 1,000 how-to sheets, over 800 new or updated articles every year
From design to prototyping, right through to industrialization, the reference for securing the development of your industrial projects

This article is included in

Mechanical and dimensional measurements

This offer includes:

Knowledge Base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

Practical Path

Operational and didactic, to guarantee the acquisition of transversal skills

Doc & Quiz

Interactive articles with quizzes, for constructive reading

Subscribe now!

Ongoing reading
Mass-spring diagrams