Holdings: Introduction to linear, parametric and nonlinear vibrations

Introduction to linear, parametric and nonlinear vibrations:

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Bibliographic Details
Main Author:	Cartmell, Matthew P. (Author)
Format:	Book
Language:	English
Published:	London [u.a.] Chapman and Hall 1990
Edition:	1. ed.
Subjects:	Vibrations Parametric vibration Vibration Nichtlineare Schwingung Mechanische Schwingung Schwingung
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturangaben
Physical Description:	XII, 242 S. graph. Darst.
ISBN:	0412307308

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MARC


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adam_text	INTRODUCTION TO LINEAR, PARAMETRIC AND NONLINEAR VIBRATIONS MATTHEW CARTMELL B.SC, PH.D., C.ENG., M.I.MECH.E. LECTURER UNIVERSITY OF ABERDEEN CHAPMAN AND HALL LONDON.NEW YORK.TOKYO.MELBOURNE.MADRAS CONTENTS ACKNOWLEDGEMENTS IX PREFACE XI 1 LINEAR VIBRATIONS IN MECHANICAL ENGINEERING INTRODUCTION 1 1.1 CLASSIFICATION OF VIBRATION PROBLEMS 1 CLASSIFICATION IN TERMS OF CONSTRAINTS 3 1.2 FUNDAMENTALS OF VIBRATING MECHANICAL SYSTEMS 4 MASS AND INERTIA 4 STIFFNESS 6 DAMPING 6 1.3 THE CONSERVATIVE SINGLE DEGREE OF FREEDOM MODEL 10 ENERGY WITHIN THE SYSTEM 11 1.4 THE NON-CONSERVATIVE SINGLE DEGREE OF FREEDOM MODEL 12 COMPLEMENTARY FUNCTIONS 13 THE PARTICULAR INTEGRAL , 17 1.5 PRACTICAL USES FOR SINGLE DEGREE OF FREEDOM MODELS 19 ISOLATION PROBLEMS 19 VEHICLE PROBLEMS 21 DESIGN OF VIBRATION DETECTION INSTRUMENTS 23 APPLICATIONS TO ROTATIONAL PLANT 23 1.6 TRANSIENTS AND IMPULSES IN SINGLE DEGREE OF FREEDOM SYSTEMS 25 THE UNIT IMPULSE 26 THE CONVOLUTION INTEGRAL 28 SINGLE DEGREE OF FREEDOM RESPONSE TO A STEP INPUT 28 FOURIER ANALYSIS 30 LAPLACE TRANSFORMS AND THEIR APPLICATION 33 VI CONTENTS 1.7 SYSTEMS WITH MORE THAN ONE DEGREE OF FREEDOM 36 USING MATRICES TO REPRESENT FLEXIBILITY AND STIFFNESS 36 THE EIGENVALUE PROBLEM 37 NONCONSERVATIVE TERMS, MODAL ANALYSIS 38 VIRTUAL WORK AND LAGRANGE S EQUATIONS AS APPLIED TO MULTI- DEGREE OF FREEDOM PROBLEMS 45 1.8 CONTINUOUS SYSTEMS 50 THE LATERAL VIBRATION OF UNIFORM BEAMS 50 BOUNDARY CONDITIONS FOR THE UNIFORM BEAM PROBLEM 52 TORSIONAL OSCILLATIONS OF SHAFTS 53 BOUNDARY CONDITIONS FOR THE SHAFT TORSION PROBLEM 55 THE GENERAL SOLUTION 56 METHODS OF APPROXIMATE ANALYSIS IN CONTINUOUS SYSTEMS 58 2 PARAMETRIC VIBRATIONS IN LINEAR VIBRATING SYSTEMS INTRODUCTION 69 2.1 STABILITY CONSIDERATIONS 71 2.2 SOME SIMPLE PHYSICAL SYSTEMS 77 SYSTEM UNDER PRINCIPAL PARAMETRIC RESONANCE 79 COMBINATION RESONANCES INVOLVING BENDING AND TORSIONAL MOTION 81 A NOTE ON THE ORDERING OF TERMS 82 2.3 ANALYSIS OF GOVERNING EQUATIONS 85 APPLICATION OF THE METHOD OF MULTIPLE SCALES 86 APPLICATION OF THE METHOD OF HARMONIC BALANCE 93 THE STABILITY BOUNDARY 95 2.4 FURTHER INVESTIGATIONS INTO PARAMETRIC PHENOMENA 98 FUNDAMENTAL PROBLEMS IN PARAMETRIC VIBRATIONS 98 MACHINE PROBLEMS, POWER TRANSMISSION CHAINS 117 PARAMETRIC VIBRATIONS IN ENGINEERING STRUCTURES 124 PROBLEMS IN APPLIED PHYSICS 131 FURTHER READING 134 3 NONLINEAR VIBRATIONS IN FORCED AND PARAMETRICALLY EXCITED SYSTEMS INTRODUCTION 135 3.1 LARGE DEFLECTION NON-LINEARITIES 136 FORCED NONLINEAR OSCILLATOR WITH A CUBIC NON-LINEARITY 136 LARGE DEFLECTION NON-LINEARITY IN A SIMPLE PARAMETRICALLY 139 EXCITED SYSTEM GEOMETRICAL NON-LINEARITIES IN PARAMETRICALLY EXCITED 145 SYSTEMS 3.2 MATERIAL AND STRUCTURAL CONFIGURATION NON-LINEARITIES 163 POWER LAW DAMPING IN A PARAMETRICALLY EXCITED SYSTEM 163 CONTENTS VII PHYSICAL CONFIGURATION NON-LINEARITIES 167 3.3 USEFUL REFERENCES 176 4 NONLINEAR VIBRATIONS IN AUTOPARAMETRIC SYSTEMS INTRODUCTION 178 4.1 TWO MODE INTERACTION IN A COUPLED BEAM SYSTEM 179 4.2 APPLICATION TO VIBRATION ABSORPTION 186 4.3 MULTIMODAL AUTOPARAMETRIC INTERACTIONS 191 THREE MODE INTERACTIONS DRIVING AN INTERNAL COMBINATION RESONANCE 191 FOUR MODE INTERACTIONS DRIVING SIMULTANEOUS COMBINATION RESONANCES 200 4.4 USEFUL REFERENCES AND FURTHER READING 205 5 PHASE PLANE CONCEPTS, AND CHAOTIC VIBRATIONS 5.1 AN INTRODUCTION TO THE PHASE PLANE 208 THE UNDAMPED LINEAR OSCILLATOR 208 THE DAMPED LINEAR OSCILLATOR 210 THE FORCED, DAMPED, LINEAR OSCILLATOR 211 THE FORCED, UNDAMPED, LINEAR OSCILLATOR 212 THE FORCED OSCILLATOR WITH LINEAR DAMPING AND NONLINEAR RESTORING FORCE 212 THE LINEAR, DAMPED, PARAMETRIC OSCILLATOR 215 5.2 A SUMMARY OF FUNDAMENTAL PHASE PLANE CONCEPTS 216 STABILITY 216 PHASE PLANE REPRESENTATIONS USING THE POINCARE MAP TECHNIQUE 218 5.3 CHAOS IN VIBRATING SYSTEMS 220 A SUMMARY OF DEVELOPMENT IN THE DYNAMICS OF CHAOTIC SYSTEMS 220 CHAOS IN A SYSTEM WITH ONE DEGREE OF FREEDOM 225 REFERENCES 231 INDEX 235
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author	Cartmell, Matthew P.
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author_sort	Cartmell, Matthew P.
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discipline	Physik
edition	1. ed.
format	Book
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isbn	0412307308
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physical	XII, 242 S. graph. Darst.
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publisher	Chapman and Hall
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spelling	Cartmell, Matthew P. Verfasser aut Introduction to linear, parametric and nonlinear vibrations Matthew Cartmell 1. ed. London [u.a.] Chapman and Hall 1990 XII, 242 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Vibrations ram Parametric vibration Vibration Nichtlineare Schwingung (DE-588)4042100-4 gnd rswk-swf Mechanische Schwingung (DE-588)4138305-9 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf Schwingung (DE-588)4053999-4 s DE-604 Mechanische Schwingung (DE-588)4138305-9 s 1\p DE-604 Nichtlineare Schwingung (DE-588)4042100-4 s 2\p DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002750291&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Cartmell, Matthew P. Introduction to linear, parametric and nonlinear vibrations Vibrations ram Parametric vibration Vibration Nichtlineare Schwingung (DE-588)4042100-4 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Schwingung (DE-588)4053999-4 gnd
subject_GND	(DE-588)4042100-4 (DE-588)4138305-9 (DE-588)4053999-4
title	Introduction to linear, parametric and nonlinear vibrations
title_auth	Introduction to linear, parametric and nonlinear vibrations
title_exact_search	Introduction to linear, parametric and nonlinear vibrations
title_full	Introduction to linear, parametric and nonlinear vibrations Matthew Cartmell
title_fullStr	Introduction to linear, parametric and nonlinear vibrations Matthew Cartmell
title_full_unstemmed	Introduction to linear, parametric and nonlinear vibrations Matthew Cartmell
title_short	Introduction to linear, parametric and nonlinear vibrations
title_sort	introduction to linear parametric and nonlinear vibrations
topic	Vibrations ram Parametric vibration Vibration Nichtlineare Schwingung (DE-588)4042100-4 gnd Mechanische Schwingung (DE-588)4138305-9 gnd Schwingung (DE-588)4053999-4 gnd
topic_facet	Vibrations Parametric vibration Vibration Nichtlineare Schwingung Mechanische Schwingung Schwingung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002750291&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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