Random Vibration Response I: General Relationships
We can now bring together the results of the preceding chapters to study the effect of a random input to a system, of which the output is related to the input through a linear differential equation with constant coefficients. We deal first with the situat
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JOHN D. ROBSON COLIN J. DODDS DONALD B. MACVEAN VINCENT R. PALING UNIVERSITY OF GLASGOW
RANDOM VIBRATIONS
COURSE HELD AT THE DEPARMENT
OF GENERAL MECHANICS OCTOBER 1971
UDINE 1971
SPRINGER~ VERLAG
WIEN GMBH
115
This work is subject to copyright All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks.
©
1972 by Springer-Verlag Wien
Originally published by Springer-Verlag Wien-New York in 1972
ISBN 978-3-211-81223-5 ISBN 978-3-7091-2734-6 (eBook) DOI 10.1007/978-3-7091-2734-6
PREFACE The subject of Random Vibration is of great significance for engineers and other workers in the fie~d of mechanics, for sources of ir~egu~ar~y f~uctuating forces exist in many practica~ situations. Yet the forma~ training of such potentia~ users hard~y permits of its inclusion and the acquisition of the necessary kno~ ~edge, both for new~y qua~ified and experienced workers, must depend on private study or postgraduate teaching. It has seemed to us in G~asgow that in this subject private study is best supp~emented by postgraduate teac~ ing, and we have presented an introductory course of about twenty ~ectures designed to give a sound basis for understanding. Natural~y such a course can on~y be introductory and can hope only to give a basis on which further study can build. But the concepts of random processes are of some subtlety, and the analytical met~ ads of description and response are of some complication. At first some guided introduction to the subject is almost essentia~, and even a course of twenty ~ec tures concentrated into one week can be inva~uab~e here. The success of such a course at
G~asgow
provided
the motivation for presentation of this course at Udine. The CISM timetab~e does not easi~y ~end itse~f to the inc~usion of one-week concentrated courses, but this difficulty was overcome. The course as presented
4
Preface
here is self-contained as an introduction, but was arranged to precede more advanced lectures in Random Vibration problems given by other workers, in order to make these more comprehensible to continuing students. It seems to have served well in both purposes. The opportunity to give the lectures a more permanent form is welcome. Though they were designed primarily for verbal delivery the collected notes do provide a continuous narrative which may be read as a whole by those with no previous knowledge of the subject. There is introductory material on statistical analysis and even on vibration theory: yet there is some account of particular applications, and of computation and analysis. The authors are grateful to Professor Olszak and Professor Sobrero for their interest, and for offering the opportunity to present the course at Udine, and also to many others at CISM whose cooperation made the course possible, not least to Signora Bertozzi. Udine, September I9?0 J.D.
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