Skip to Main Content
Introduction to Finite Element Analysis and Design, 2nd Edition
book

Introduction to Finite Element Analysis and Design, 2nd Edition

by Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar
August 2018
Intermediate to advanced content levelIntermediate to advanced
552 pages
21h 1m
English
Wiley
Content preview from Introduction to Finite Element Analysis and Design, 2nd Edition

Chapter 8Finite Element Analysis for Dynamic Problems

8.1 INTRODUCTION

In the previous chapters, we have discussed the static analysis of solids and structures, in which the loads are assumed to be applied slowly such that the structure is in equilibrium at every instant until the full load is applied. When the effect of velocity and acceleration can be ignored due to slow application of loads, it is called a quasi‐static loading. The structure may be considered to be under quasi‐static deformation when the inertial forces are orders of magnitude smaller than the internal forces caused by the deformation. The structure gradually deforms to produce internal forces (i.e., stresses) so that the internal forces are in equilibrium with the externally applied load. In structural mechanics, this is called static equilibrium. We did not consider the time involved, that is, how quickly the load is applied or how quickly the structure reaches equilibrium with the applied loads. However, when the loads vary rapidly with time, the inertial effects cannot be neglected. In such cases, the quasi‐static assumption is not valid and we need to compute the dynamic equilibrium, which is the main topic of this chapter. Dynamic problems are concerned with the study of motion of structures under external loads. When the external loads are time varying, or steady but applied suddenly, it will trigger dynamic effects that cause structural vibration immediately upon the application of the load. If the ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Advanced Mechanics of Materials and Applied Elasticity, 6th Edition

Advanced Mechanics of Materials and Applied Elasticity, 6th Edition

Saul K. Fenster, Ansel C. Ugural
Technical Drawing with Engineering Graphics, 15th Edition

Technical Drawing with Engineering Graphics, 15th Edition

Frederick E. Giesecke, Alva Mitchell, Henry C. Spencer, Ivan L. Hill, John T. Dygdon, James E. Novak, R. O. Loving, Shawna E. Lockhart, Cindy Johnson
Engineering Drawing, 2nd Edition

Engineering Drawing, 2nd Edition

M. B. Shah, B. C. Rana

Publisher Resources

ISBN: 9781119078722Purchase book