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This book addresses important practical aspects of nonlinear vibration analysis. It presents cases of considerable interest for researchers and practical engineers, such as rotor dynamics and torsional vibration of engines. The book can be used as both a reference and a graduate-level text, as it develops the subject from its foundations and contains problems and solutions for each chapter.
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This book addresses important practical aspects of nonlinear vibration analysis. It presents cases of considerable interest for researchers and practical engineers, such as rotor dynamics and torsional vibration of engines. The book can be used as both a reference and a graduate-level text, as it develops the subject from its foundations and contains problems and solutions for each chapter.
Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: Springer US
- Seitenzahl: 591
- Erscheinungstermin: 6. Dezember 2012
- Englisch
- ISBN-13: 9781461214502
- Artikelnr.: 44175743
- Verlag: Springer US
- Seitenzahl: 591
- Erscheinungstermin: 6. Dezember 2012
- Englisch
- ISBN-13: 9781461214502
- Artikelnr.: 44175743
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
1 Discrete Linear Systems.- 1.1 Systems with a single degree of freedom.- 1.2 Systems with many degrees of freedom.- 1.3 Lagrange equations.- 1.4 State space.- 1.5 Free behaviour.- 1.6 Uncoupling of the equations of motion: Space of the configurations.- 1.7 Uncoupling of the equations of motion: State space.- 1.8 Excitation due to the motion of the constraints..- 1.9 Forced oscillations with harmonic excitation.- 1.10 Systems with structural damping.- 1.11 Systems with frequency-dependent parameters...- 1.12 Coordinate transformation based on Ritz vectors..- 1.13 Structural modification.- 1.14 Parameter identification.- 1.15 Laplace transforms, block diagrams, and transfer functions.- 1.16 Response to nonharmonic excitation.- 1.17 Short account of random vibrations.- 1.18 Concluding examples.- 1.19 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 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 system.- 3.6 Forced oscillations of the damped system.- 3.7 Parametrically excited systems.- 3.8 An outline of chaotic vibrations.- 3.9 Exercises.- 4 Dynamic Behaviour of Rotating Machinery.- 4.1 Rotors and structures.- 4.2 Fields of instability.- 4.3 The linear Jeffcott rotor.- 4.4 Model with four degrees of freedom: Gyroscopic effect.- 4.5 Dynamic study of rotors with many degrees of freedom.- 4.6 Nonisotropic systems.- 4.7 Introduction to nonlinear rotor dynamics.- 4.8 Rotors on hydrodynamic bearings (oil whirl and oil whip).- 4.9 Flexural vibration dampers.- 4.10 Signature of rotating machinery.- 4.11 Rotor balancing.- 4.12 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 measurement 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 linear systems.- 6.4 Modal approach to structural control.- 6.5 Dynamic study of rotors on magnetic bearings.- 6.6 Exercises.- A Solution Methods.- A.1 General considerations.- A.2 Solution of linear sets of equations.- A.3 Computation of eigenfrequencies.- A.4 Solution of nonlinear sets of equations.- A.5 Numerical integration in time of the equation of motion.
1 Discrete Linear Systems.- 1.1 Systems with a single degree of freedom.- 1.2 Systems with many degrees of freedom.- 1.3 Lagrange equations.- 1.4 State space.- 1.5 Free behaviour.- 1.6 Uncoupling of the equations of motion: Space of the configurations.- 1.7 Uncoupling of the equations of motion: State space.- 1.8 Excitation due to the motion of the constraints..- 1.9 Forced oscillations with harmonic excitation.- 1.10 Systems with structural damping.- 1.11 Systems with frequency-dependent parameters...- 1.12 Coordinate transformation based on Ritz vectors..- 1.13 Structural modification.- 1.14 Parameter identification.- 1.15 Laplace transforms, block diagrams, and transfer functions.- 1.16 Response to nonharmonic excitation.- 1.17 Short account of random vibrations.- 1.18 Concluding examples.- 1.19 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 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 system.- 3.6 Forced oscillations of the damped system.- 3.7 Parametrically excited systems.- 3.8 An outline of chaotic vibrations.- 3.9 Exercises.- 4 Dynamic Behaviour of Rotating Machinery.- 4.1 Rotors and structures.- 4.2 Fields of instability.- 4.3 The linear Jeffcott rotor.- 4.4 Model with four degrees of freedom: Gyroscopic effect.- 4.5 Dynamic study of rotors with many degrees of freedom.- 4.6 Nonisotropic systems.- 4.7 Introduction to nonlinear rotor dynamics.- 4.8 Rotors on hydrodynamic bearings (oil whirl and oil whip).- 4.9 Flexural vibration dampers.- 4.10 Signature of rotating machinery.- 4.11 Rotor balancing.- 4.12 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 measurement 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 linear systems.- 6.4 Modal approach to structural control.- 6.5 Dynamic study of rotors on magnetic bearings.- 6.6 Exercises.- A Solution Methods.- A.1 General considerations.- A.2 Solution of linear sets of equations.- A.3 Computation of eigenfrequencies.- A.4 Solution of nonlinear sets of equations.- A.5 Numerical integration in time of the equation of motion.







