The aim of the present book is to address practical aspects of nonlinear vibration analysis. It presents cases rarely discussed in the existing literature on vibration - such as rotor dynamics, and torsional vibration of engines - which are problems of considerable interest for engineering researchers and practical engineers. The book can be used not only as a reference but also as material for graduate students at Engineering departments, as it contains problems and solutions for each chapter.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
293
293 s/w Abbildungen
XXV, 452 p. 293 illus.
ISBN-13
978-1-4757-1111-0 (9781475711110)
DOI
10.1007/978-1-4757-1111-0
Schweitzer Klassifikation
1. Discrete Linear Systems.- 1.1 Systems with a single degree of freedom.- 1.2 Systems with many degrees of freedom.- 1.3 State space.- 1.4 Free behaviour.- 1.5 Uncoupling of the equations of motion.- 1.6 Excitation due to the motion of the constraints.- 1.7 Forced oscillations with harmonic excitation.- 1.8 System with structural damping.- 1.9 Systems with frequency dependent parameters.- 1.10 Co-ordinate transformation based on Ritz vectors.- 1.11 Structural modifications.- 1.12 Parameter identification.- 1.13 Laplace transforms, block diagrams and transfer functions.- 1.14 Response to non-harmonic excitation.- 1.15 Short account on random vibrations.- 1.16 Concluding examples.- 1.17 Exercises.- 2. Continuous Linear Systems.- 2.1 General considerations.- 2.2 Beams and bars.- 2.3 Flexural vibration of rectangular plates.- 2.4 Propagation of elastic waves in taut strings and pipes.- 2.5 The assumed modes methods.- 2.6 Lumped parameters methods.- 2.7 The finite element method.- 2.8 Reduction of the number of the degrees of freedom.- 2.9 Exercises.- 3. Nonlinear Systems.- 3.1 Linear versus nonlinear systems.- 3.2 Equation of motion.- 3.3 Free oscillations of the undamped system..- 3.4 Forced oscillations of the undamped system..- 3.5 Free oscillations of the damped systems.- 3.6 Forced oscillations of the damped system.- 3.7 Parametrically excited systems.- 3.8 An outline on chaotic vibrations.- 3.9 Exercises.- 4. Dynamic Behaviour of Rotating Machinery.- 4.1 Rotors and structures.- 4.2 Vibration of rotors: the Campbell diagram.- 4.3 Forced vibrations of rotors: critical speeds.- 4.4 Fields of instability.- 4.5 The linear "Jeffcott rotor".- 4.6 Model with 4 degrees of freedom: gyroscopic effect.- 4.7 Dynamic study of rotors with many degrees of freedom.- 4.8 Nonisotropic systems.- 4.9 Introduction to nonlinear rotordynamics.- 4.10 Rotors on Hydrodynamic bearings (oil whirl and oil whip).- 4.11 Flexural vibration dampers.- 4.12 Signature of rotating machinery.- 4.13 Rotor balancing.- 4.14 Exercises.- 5. Dynamic Problems of Reciprocating Machines.- 5.1 Specific problems of reciprocating machines.- 5.2 "Equivalent system" for the study of torsional vibrations.- 5.3 Computation of the natural frequencies.- 5.4 Forced vibrations.- 5.5 Torsional instability of crank mechanisms.- 5.6 Dampers for torsional vibrations.- 5.7 Experimental measurements of torsional vibrations.- 5.8 Axial vibrations of crankshafts.- 5.9 Short outline on balancing of reciprocating machines.- 5.10 Exercises.- 6. Short Outline on Controlled and Active Systems.- 6.1 General considerations.- 6.2 Control systems.- 6.3 Controlled discrete linear systems.- 6.4 Modal approach to structural control.- 6.5 Dynamic study of rotors on magnetic bearings.- 6.6 Exercises.- Appendix. Solution Methods.- A.1 General considerations.- A.2 Solution of linear sets of equations.- A.3 Computation of the eigenfrequencies.- A.4 Solution of nonlinear sets of equations.- A.5 Numerical integration in time of the equation of motion.
