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Advanced Structural Dynamics

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498 pages
Advanced Structural Dynamics Edited by J. DONÉA APPLIED SCIENCE PUBLISHERS This book presents a review of modern numerical procedures for struc­tural dynamics which are illustrated by their application to significant practical problems. The first part of the text covers techniques for dynamic response in the frequency domain as well as methods for transient response by time integration. The variational methods of structural dynamics are presented and their finite element implementation discussed in detail. The use of modal methods for calculating a transient response is described with a particular emphasis on the problem of reducing a multi-degree of freedom system to a smaller set of degrees of freedom. A review is then made of implicit, explicit and combined explicit-implicit opera­tors for transient response by time integration. This is followed by a presentation of finite element formula­tions adapted to implicit and explicit time integrators. The second part of the text is devoted to a detailed presentation of practical applications. These cover a wide range of situations including dynamic fracture mechanics, anti-missile design, pipe whip accidents and transient fluid-structure interaction. The latter topic is given particular attention in view of its growing importance in nuclear reactor safety studies. Applications are de­scribed based on finite difference, finite element and boundary integral methods.
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Advanced
Structural Dynamics
Edited by
J. DONÉA
APPLIED SCIENCE PUBLISHERS This book presents a review of
modern numerical procedures for struc­
tural dynamics which are illustrated by
their application to significant practical
problems. The first part of the text
covers techniques for dynamic response
in the frequency domain as well as
methods for transient response by time
integration. The variational methods of
structural dynamics are presented and
their finite element implementation
discussed in detail. The use of modal
methods for calculating a transient
response is described with a particular
emphasis on the problem of reducing a
multi-degree of freedom system to a
smaller set of degrees of freedom. A
review is then made of implicit, explicit
and combined explicit-implicit opera­
tors for transient response by time
integration. This is followed by a
presentation of finite element formula­
tions adapted to implicit and explicit
time integrators.
The second part of the text is devoted
to a detailed presentation of practical
applications. These cover a wide range
of situations including dynamic fracture
mechanics, anti-missile design, pipe
whip accidents and transient fluid-
structure interaction. The latter topic is
given particular attention in view of its
growing importance in nuclear reactor
safety studies. Applications are de­
scribed based on finite difference,
finite element and boundary integral
methods.
(for List of Contents see inside back flap) ADVANCED STRUCTURAL DYNAMICS APPLIED SCIENCE PUBLISHERS LTD
RIPPLE ROAD, BARKING, ESSEX, ENGLAND
British Library Cataloguing in Publication Data
Advanced structural dynamics.
1. Structural dynamics
I. Donéa, J
624'.) 71 TA654
ISBN 0-85334-859-6
WITH 26 TABLES AND 205 ILLUSTRATIONS
C ECSC, EEC. EAEC, Brussels and Luxembourg, 1980
Publication arrangements by. Commission of the European Communities, Directorate-
General for Scientific and Technical Information and Information Management,
Luxembourg
EUR 6693 EN
LEGAL NOTICE
Neither the Commission of the European Communities nor any person acting on behalf of
the Commission is responsible for the use which might be made of the following information.
All rights reserved. No part of this publication may be reproduced, stored in
a retrieval system, or transmitted in any form or by any means, electronic,
mechanical, photocopying, recording, or otherwise, without the prior
written permission of the publishers. Applied Science Publishers Ltd.
Ripple Road. Barking. Essex. England
Primed in Gre.il Britain b> Gailurd (Primers) Lid. ureal Yarmouth Preface
This book, is based on the lecture notes prepared for the advanced course on
structural dynamics held at the Joint Research Centre of the Commission of
the European Communities, lspra Establishment, in October 1978.
Although the subject of structural dynamics has a long history, the last
two decades have seen a remarkable development of numerical methods for
dynamic analysis of engineering structures. The intention in organising the
lspra Course was to provide a review of modern numerical procedures for
structural dynamics and to illustrate their use by application to significant
practical problems.
The first part of the book covers techniques for dynamic response in the
frequency domain as well as methods for transient response by time
integration. The variationals of structural dynamics are presented
and their finite element implementation discussed in detail. The use of
modal methods for calculating a transient response is described with a
particular emphasis on the problem of reducing a multi-degree of freedom
system to a smaller set of degrees of freedom. A review is then made of
implicit, explicit and combined explicit-implicit operators for transient
response by time integration. This is followed by a presentation of finite
element formulations adapted to implicit and explicit time integrators.
The second part of the book is devoted to a detailed presentation of
practical applications. These cover a wide range of situations, including
dynamic fracture mechanics, anti-missile design, pipe whip accidents and
transient fluid-structure interaction. The latter topic is given particular
attention in view of its growing importance in nuclear reactor safety studies.
Applications are described based on finite difference, finite element and
boundary integral methods.
The present book will prove to be useful to researchers and engineers
engaged in the development and use of numerical methods for dynamic
analysis of structures.
JEAN DONÉA Contents
Preface ........... ν
Lisi oj Contributors ........ ix
Introduction und General Overview oj Structural Dynamics
Problems ......... xi
J. REYNEN
1 Variational Methods of Structural Dynamics and their Finite
Element Implementation ...... 1
M. GERADIN
2 The Modal Method for Transient Response and its Application
to Seismic Analysis ....... 43
K. FULLÄRD
3 Transient Response by Time Integration: Review of Implicit
and Explicit Operators . . . . . . . 71
S. W. KEY
4 Explicit Time Integration of Structure—Mechanical Systems 97
T. BELYTSCHKO
5 Implicit Finite Element Methods for the Dynamic Transient
Analysis of Solids with Particular Reference to Non­linear
Situations . . . . . .123
D. R.J.OWENVill CONTENTS
6Application of TransientDynamicNumerical Methods to
Problems in FractureMechanics153
D.R. J. OWEN
7 Survey of Computational Methods for Transient Fluid-Structure
Problems in Reactor Safety . . . · · .191
P. FASOLI-STELLA and A. V. JONES
8 Finite Element Analysis of Transient Dynamic Fluid-Structure
Interaction . . - . . · · - ■ 255
J. DONE A
9 Coupled Fluid-Structural Dynamics in Blowdown Suppression
Systems: Numerical Schemes and Applications . . 291
R. KRIEG
10 Computation of Flow-induced Vibrations in Piping Systems 315
R. J. Gibert
11 Analysis of Aircraft Impact Problems 337
N.J. K.RUTZ1K
12 Pipe Whip Analysis 387
L. LAZZERI
13 MaterialBehaviourand Modelling in Transient Dynamic
Situations427
C. ALBERTINI.J.P.HALLEUX and M. MONTAGNANI
Index 465