Mechanical Vibrations (eBook, ePUB)
Theory and Application to Structural Dynamics
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Mechanical Vibrations (eBook, ePUB)
Theory and Application to Structural Dynamics
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Mechanical Vibrations: Theory and Application to Structural Dynamics, Third Edition is a comprehensively updated new edition of the popular textbook. It presents the theory of vibrations in the context of structural analysis and covers applications in mechanical and aerospace engineering. Key features include: * A systematic approach to dynamic reduction and substructuring, based on duality between mechanical and admittance concepts * An introduction to experimental modal analysis and identification methods * An improved, more physical presentation of wave propagation phenomena * A…mehr
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- Größe: 46.77MB
- J. P. Den HartogMechanical Vibrations (eBook, ePUB)13,95 €
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- Produktdetails
- Verlag: John Wiley & Sons
- Seitenzahl: 616
- Erscheinungstermin: 24. Dezember 2014
- Englisch
- ISBN-13: 9781118900192
- Artikelnr.: 42059555
- Verlag: John Wiley & Sons
- Seitenzahl: 616
- Erscheinungstermin: 24. Dezember 2014
- Englisch
- ISBN-13: 9781118900192
- Artikelnr.: 42059555
Analytical Dynamics of Discrete Systems 13 1.1 Principle of Virtual Work
for a Particle 14 1.2 Extension to a System of Particles 17 1.3 Hamilton's
Principle for Conservative Systems and Lagrange Equations 23 1.4 Lagrange
Equations in the General Case 36 1.5 Lagrange Equations for Impulsive
Loading 39 1.6 Dynamics of Constrained Systems 44 1.7 Exercises 46
References 54 2 Undamped Vibrations of n-Degree-of-Freedom Systems 57 2.1
Linear Vibrations about an Equilibrium Configuration 59 2.2 Normal Modes of
Vibration 67 2.3 Orthogonality of Vibration Eigenmodes 70 2.4 Vector and
Matrix Spectral Expansions Using Eigenmodes 76 2.5 Free Vibrations Induced
by Nonzero Initial Conditions 77 2.6 Response to Applied Forces: Forced
Harmonic Response 83 2.7 Response to Applied Forces: Response in the Time
Domain 91 2.8 Modal Approximations of Dynamic Responses 95 2.9 Response to
Support Motion 101 2.10 Variational Methods for Eigenvalue Characterization
111 2.11 Conservative Rotating Systems 119 2.12 Exercises 130 References
148 3 Damped Vibrations of n-Degree-of-Freedom Systems 149 3.1 Damped
Oscillations in Terms of Normal Eigensolutions of the Undamped System 151
3.2 Forced Harmonic Response 160 3.3 State-Space Formulation of Damped
Systems 174 3.4 Experimental Methods of Modal Identification 180 3.5
Exercises 199 3.6 Proposed Exercises 207 References 208 4 Continuous
Systems 211 4.1 Kinematic Description of the Dynamic Behaviour of
Continuous Systems: Hamilton's Principle 213 4.2 Free Vibrations of Linear
Continuous Systems and Response to External Excitation 231 4.3
One-Dimensional Continuous Systems 243 4.4 Bending Vibrations of Thin
Plates 290 4.5 Wave Propagation in a Homogeneous Elastic Medium 315 4.6
Solved Exercises 327 4.7 Proposed Exercises 328 References 333 5
Approximation of Continuous Systems by Displacement Methods 335 5.1 The
Rayleigh-Ritz Method 339 5.2 Applications of the Rayleigh-Ritz Method to
Continuous Systems 346 5.3 The Finite Element Method 362 5.4 Exercises 399
References 412 6 Solution Methods for the Eigenvalue Problem 415 6.1
General considerations 419 6.2 Dynamical and Symmetric Iteration Matrices
425 6.3 Computing the Determinant: Sturm Sequences 426 6.4 Matrix
Transformation Methods 430 6.5 Iteration on Eigenvectors: The Power
Algorithm 436 6.6 Solution Methods for a Linear Set of Equations 444 6.7
Practical Aspects of Inverse Iteration Methods 460 6.8 Subspace
Construction Methods 464 6.9 Dynamic Reduction and Substructuring 479 6.10
Error Bounds to Eigenvalues 488 6.11 Sensitivity of Eigensolutions, Model
Updating and Dynamic Optimization 498 6.12 Exercises 504 References 508 7
Direct Time-Integration Methods 511 7.1 Linear Multistep Integration
Methods 513 7.2 One-Step Formulas for Second-Order Systems: Newmark's
Family 522 7.3 Equilibrium Averaging Methods 539 7.4 Energy Conservation
550 7.5 Explicit Time Integration Using the Central Difference Algorithm
556 7.6 The Nonlinear Case 564 7.7 Exercises 573 References 575 Index 577
Analytical Dynamics of Discrete Systems 13 1.1 Principle of Virtual Work
for a Particle 14 1.2 Extension to a System of Particles 17 1.3 Hamilton's
Principle for Conservative Systems and Lagrange Equations 23 1.4 Lagrange
Equations in the General Case 36 1.5 Lagrange Equations for Impulsive
Loading 39 1.6 Dynamics of Constrained Systems 44 1.7 Exercises 46
References 54 2 Undamped Vibrations of n-Degree-of-Freedom Systems 57 2.1
Linear Vibrations about an Equilibrium Configuration 59 2.2 Normal Modes of
Vibration 67 2.3 Orthogonality of Vibration Eigenmodes 70 2.4 Vector and
Matrix Spectral Expansions Using Eigenmodes 76 2.5 Free Vibrations Induced
by Nonzero Initial Conditions 77 2.6 Response to Applied Forces: Forced
Harmonic Response 83 2.7 Response to Applied Forces: Response in the Time
Domain 91 2.8 Modal Approximations of Dynamic Responses 95 2.9 Response to
Support Motion 101 2.10 Variational Methods for Eigenvalue Characterization
111 2.11 Conservative Rotating Systems 119 2.12 Exercises 130 References
148 3 Damped Vibrations of n-Degree-of-Freedom Systems 149 3.1 Damped
Oscillations in Terms of Normal Eigensolutions of the Undamped System 151
3.2 Forced Harmonic Response 160 3.3 State-Space Formulation of Damped
Systems 174 3.4 Experimental Methods of Modal Identification 180 3.5
Exercises 199 3.6 Proposed Exercises 207 References 208 4 Continuous
Systems 211 4.1 Kinematic Description of the Dynamic Behaviour of
Continuous Systems: Hamilton's Principle 213 4.2 Free Vibrations of Linear
Continuous Systems and Response to External Excitation 231 4.3
One-Dimensional Continuous Systems 243 4.4 Bending Vibrations of Thin
Plates 290 4.5 Wave Propagation in a Homogeneous Elastic Medium 315 4.6
Solved Exercises 327 4.7 Proposed Exercises 328 References 333 5
Approximation of Continuous Systems by Displacement Methods 335 5.1 The
Rayleigh-Ritz Method 339 5.2 Applications of the Rayleigh-Ritz Method to
Continuous Systems 346 5.3 The Finite Element Method 362 5.4 Exercises 399
References 412 6 Solution Methods for the Eigenvalue Problem 415 6.1
General considerations 419 6.2 Dynamical and Symmetric Iteration Matrices
425 6.3 Computing the Determinant: Sturm Sequences 426 6.4 Matrix
Transformation Methods 430 6.5 Iteration on Eigenvectors: The Power
Algorithm 436 6.6 Solution Methods for a Linear Set of Equations 444 6.7
Practical Aspects of Inverse Iteration Methods 460 6.8 Subspace
Construction Methods 464 6.9 Dynamic Reduction and Substructuring 479 6.10
Error Bounds to Eigenvalues 488 6.11 Sensitivity of Eigensolutions, Model
Updating and Dynamic Optimization 498 6.12 Exercises 504 References 508 7
Direct Time-Integration Methods 511 7.1 Linear Multistep Integration
Methods 513 7.2 One-Step Formulas for Second-Order Systems: Newmark's
Family 522 7.3 Equilibrium Averaging Methods 539 7.4 Energy Conservation
550 7.5 Explicit Time Integration Using the Central Difference Algorithm
556 7.6 The Nonlinear Case 564 7.7 Exercises 573 References 575 Index 577