A Finite Element Dynamic Primer
Hitchings, D, ed
First Published - January 1992
Hardback, 258 Pages
Members Price: £32 ( $62 / €40 )
Non-Members Price: £65 ( $127 / €82 )
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This book is intended to address the problems that a practising
finite element analyst might encounter when carrying out a
vibration analysis. It is not intended to be a text book on
dynamics, of which there are many excellent examples suggested in
the bibliography. The contents are more concerned with giving
practical help and advice to an analyst, both before he starts the
analysis and in isolating possible problems that might occur as the
analyst is being conducted. This makes the layout of the text
rather different from other books on dynamics. It can be considered
to consist of two sections, the first being chapter 1 and the
second section being the rest of the book. Chapter 1 consists of
brief notes and comments in terms of guidelines for a dynamic
analysis. This can be used to remind the analyst of possible
pitfalls associated with any analysis. However, dynamics are more
complicated than statics and there are many more variations of the
problem and solution types. All of these possible combinations
means that it is impossible to give a complete list of guidelines
and so the second section of the book, from chapter 2 onwards,
expands the brief notes given in chapter 1. These are intended to
explain to the analyst the underlying theory associated with the
brief notes so that he can adapt and interpret the comments to suit
his own special problem.
No mathematics is given in chapter 1 but some has to be given in
the subsequent chapters to explain the problems under discussion.
The mathematics is not complete and is intended to be sufficient
for the purposes of explanation. More detailed development of the
mathematics associated with a dynamic analysis can be found in
dynamics text-books. The contents of each chapter is orientated to
the finite element analysis rather than development of vibration
theory. As explained above, chapter 1 contains the general
guidelines. One of the problems with carrying out any dynamic
analysis is the wide variety of problem types and solution types
and the plethora of possible solution methods that this can give
rise to. Chapter 2 presents details of the solution methods and the
types of problem that each is most suited to solving. Chapters 3
and 4 give modelling suggestions, chapter 3 being concerned with
general dynamic modelling and chapter 4 with aspects more specific
to the finite element method.
Forms of problem reduction, associated with trying to minimise the
cost of the analysis are discussed in chapter 5. Since dynamics are
less well understood and more difficult to solve than statics there
is often a parallel dynamic test program conducted where aspects of
the dynamic problem are confirmed by experiment. Chapter 6
discusses some problems of matching test and theory. The basic
parameters of a dynamic analysis, the structural stiffness and mass
and the applied loadings are usually well defined. However,
practical vibrations also have a degree of damping associated with
them. The nature of this is imprecise and the assumptions and
approximations are detailed in chapter 7. The considerations
associated with controlling and understanding the output are
presented in chapter 8. One important point to consider here is the
shear volume of data that a dynamic analysis can generate. Chapter
9 presents some information of the rather specialised topics of
random vibrations and seismic analysis.
The book is not intended to be read from cover to cover. It is
anticipated that only sections, not even complete chapters, will be
read, as required by the problem in hand. With this in mind, and
with the form of the organisation of the text associated with
discussing possible problems and providing hints and tips, there is
a repetition of some information. An attempt has been made to
minimise this but the attitude adopted was that it is better to
repeat some comments and warnings if this prevents mistakes from
being made, rather than having too many cross-references, which
might not be followed.
Contents
Chapter 1 – BASIC CONSIDERATIONS FOR A DYNAMIC ANALYSIS
Chapter 2 – DYNAMIC PROBLEM TYPES
Chapter 3 – MODELLING
Chapter 4 – FINITE ELEMENT MODELLING
Chapter 5 – PROBLEM REDUCTION
Chapter 6 – DYNAMIC TESTING
Chapter 7 – DAMPING
Chapter 8 – RESULTS INTERPRETATION AND PRESENTATION
Chapter 9 – RANDOM VIBRATIONS AND SEISMIC ANALYSIS
GLOSSARY OF TERMS IN DYNAMIC ANALYSIS
BIBLIOGRAPHY
Members Price: £32 ( $62 / €40 )
Non-Members Price: £65 ( $127 / €82 )
Order Ref:R0017
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