History of Rotating Machinery Dynamics (eBook)
XX, 358 Seiten
Springer Netherlands (Verlag)
978-94-007-1165-5 (ISBN)
This book starts with the invention of the wheel nearly 5000 years ago, and via Archimedes, Aristotle and Hero describes the first practical applications such as water wheels and grinding wheels, pushing on to more rigorous scientific research by inquiring minds such as Leonardo da Vinci and Copernicus in later ages. Newton and Leibniz followed, and beam structures received maximum attention three centuries ago. As focus shifts and related disciplines such as mathematics and physics also develop, slowly turbomachines and rotor and blade dynamics as we know the subject now take shape. While the book traces the events leading to Laval and Parsons Turbines, the emphasis is on rotor and blade dynamics aspects that pushed these turbines to their limits in the last century. The tabular and graphical methods developed in the pre-computer era have taken different form in the last fifty years through finite element methods. The methods evolved in the last century are discussed in detail to help modern day designers and researchers. This book will be useful to young researchers and engineers in industry and educational institutions engaged in rotor and blade dynamics work in understanding the past and the present developments and what is expected in future. Faculty and industry engineers can benefit from this broad perspective history in formulating their developmental plans.
Contents 7
Preface 14
Beginnings of the Wheel 19
References 22
Science before the Medieval Period 23
References 25
Water Wheels 26
References 29
Wind Mills 30
References 31
Renaissance and Scientific Revolution 32
References 37
Renaissance Engineers 39
References 46
Industrial Revolution 47
References 50
Turbomachines 51
References 58
Fundamentals of Elasticity 60
References 61
Energy Methods 63
Euler–Lagrange Equations 64
Lagrange Method 69
Rayleigh’s Energy Approach 70
Ritz Method 72
Lagrange Method for Vibration Problems 75
Galerkin Method 77
Hamilton’s Principle 80
Complementary Virtual Work 92
Different Theories of Torsion of Rods 104
Coulomb (1784) Elementary Theory , see Timoshenko and Goodier [42] for Circular Rods 104
St. Venant (1853) Theory, see Todhunter [43] and Timoshenko and Goodier [42] for Circular Rods 104
Love’s (1944) Theory 105
Timoshenko (1945) – Gere’s (1954) Theory 105
Reissner (1952) and Lo–Goulard’s (1955) Theory 106
Barr’s (1962) Theory 107
Refined Theory by Rao (1974) 107
References 111
20th Century Graphical and Numerical Methods 113
Stodola–Viannello (Rayleigh’s Maximum Energy) Method in Graphical Form 113
Stodola–Viannello Iterative Method in Tabular Form 115
Dunkerley’s Method 118
Proof of the Dunkerley Formula by Blaess [1] 118
Hahn’s Proof Using Matrix Algebra [3] 119
Holzer Method for Torsional Vibration 121
The Myklestad Method [7,8] 122
Prohl’s Method [9] 126
References 128
Matrix Methods 129
Torsional Vibration Systems 132
Far-Coupled Systems 135
Gräffe’s Method of Successive Approximations 136
Matrix Iteration Method 138
Method of Priebs [10] 141
The Holzer Method (Close Coupled Systems) in Transfer Matrix Form 145
Myklestad–Thomson (1949, 1953) – Prohl Methods in Transfer Matrix Form for Far-Coupled Systems 147
A Brief Note on Computers and Evolution 150
References 152
Finite Element Methods 154
Beam Finite Element 156
Tocher Triangular Plate Element (1962) 160
Shell Element 167
Interface Damping through Finite Element Analysis 176
Illustration of Turbomachine Blade Analysis using Commercial Codes 189
References 196
Rotor Dynamics Methods 197
De Laval Model 198
Jeffcott Rotor Analysis 200
Fluid Film Bearings 202
Oil Film Instabilities 210
Quality Factor 216
Gyroscopic Effects 219
Internal Friction, Hysteresis 224
Shafts with Gravity and Variable Elasticity 230
Misalignment 238
Bowed Rotors 242
Variable Inertia 245
Seals and Instabilities 248
Steam Whirl 252
Cracked Shafts 254
References 260
Transfer Matrix Methods 264
Torsional Vibration due to Short Circuit of Generators 264
Transfer Matrix Method for Lateral Vibrations of Rotors 269
Twin Spool Rotor Analysis 273
References 278
Finite Element Methods for Rotor Dynamics 279
Nelson’s Beam Element 279
Geared Rotors and Chaos 287
Solid Rotors 294
Two Spool Aircraft Engine [21] 299
Cryogenic Pump Rotor Dynamic Analysis 299
References 305
Bladed Disks 308
Armstrong’s Analysis for Tuned Systems 309
Ewins’ Analysis 311
Mistuning Arrangement 315
Damping 319
Micro-Slip Damping (Fretting Fatigue) 323
References 332
Lifing 335
High Cycle Fatigue (HCF) Life Estimation 339
Low Cycle Fatigue (Strain Based Life Estimation) 341
Linear Elastic Fracture Mechanics 341
References 346
Optimization 349
Shape Optimization 351
Weight Optimization 354
References 359
Concluding Remarks 360
Index 362
| Erscheint lt. Verlag | 7.3.2011 |
|---|---|
| Reihe/Serie | History of Mechanism and Machine Science | History of Mechanism and Machine Science |
| Zusatzinfo | XX, 358 p. |
| Verlagsort | Dordrecht |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie |
| Technik ► Maschinenbau | |
| Schlagworte | finite elements • History • machinery dynamics • Rotor dynamics • Turbomachines |
| ISBN-10 | 94-007-1165-4 / 9400711654 |
| ISBN-13 | 978-94-007-1165-5 / 9789400711655 |
| Haben Sie eine Frage zum Produkt? |
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