Fundamentals of Structural Dynamics, Second Edition | by Roy R. Craig, Jr. and Andrew J. Kurdila | ISBN: 9780471430445. Aeronautical Engineering Books. VIBRATION TESTING OF STRUCTURES. STABILITY OF MOTION. STRUCTURAL DAMPING. FREE VIBRATION OF SYSTEMS WITH RIGID-BODY MODES
November 28th, 2009 | by kutenk |Fundamentals of Structural Dynamics, Second Edition
by Roy R. Craig, Jr. and Andrew J. Kurdila
ISBN:9780471430445
Covering structural dynamics fundamentals, finite-element-based computational methods, and dynamic testing methods, this book includes numerous examples to help engineers apply the techniques and methods to challenges they face in the real world.
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Fundamentals of Structural Dynamics, Second Edition
Preface to Structural Dynamics—An Introduction to Computer Methods
Preface to Fundamentals of Structural Dynamics
Chapter 1 – The Science and Art of Structural Dynamics
OVERVIEW
1.1: INTRODUCTION TO STRUCTURAL DYNAMICS
1.2: MODELING OF STRUCTURAL COMPONENTS AND SYSTEMS
1.3: PROTOTYPE SPRING-MASS MODEL
1.4: VIBRATION TESTING OF STRUCTURES
1.5: SCOPE OF THE BOOK
1.6: COMPUTER SIMULATIONS; SUPPLEMENTARY MATERIAL ON THE WEBSITE
REFERENCES
PROBLEMS
Part I – Single-Degree-of-Freedom Systems
Chapter 2 – Mathematical Models of SDOF Systems
OVERVIEW
2.1: BRIEF REVIEW OF THE DYNAMICS OF PARTICLES AND RIGID BODIES
2.2: ELEMENTS OF LUMPED-PARAMETER MODELS
2.3: APPLICATION OF NEWTON’S LAWS TO LUMPED-PARAMETER MODELS
2.4: APPLICATION OF THE PRINCIPLE OF VIRTUAL DISPLACEMENTS TO LUMPED-PARAMETER MODELS
2.5: APPLICATION OF THE PRINCIPLE OF VIRTUAL DISPLACEMENTS TO CONTINUOUS MODELS: ASSUMED-MODES METHOD
REFERENCES
PROBLEMS
Chapter 3 – Free Vibration of SDOF Systems
OVERVIEW
3.1: FREE VIBRATION OF UNDAMPED SDOF SYSTEMS
3.2: FREE VIBRATION OF VISCOUS-DAMPED SDOF SYSTEMS
3.3: STABILITY OF MOTION
3.4: FREE VIBRATION OF AN SDOF SYSTEM WITH COULOMB DAMPING
3.5: EXPERIMENTAL DETERMINATION OF THE NATURALFREQUENCY AND DAMPING FACTOR OF AN SDOF SYSTEM
REFERENCES
PROBLEMS
Chapter 4 – Response of SDOF Systems to Harmonic Excitation
OVERVIEW
4.1: RESPONSE OF UNDAMPED SDOF SYSTEMS TO HARMONIC EXCITATION
4.2: RESPONSE OF VISCOUS-DAMPED SDOF SYSTEMS TO HARMONIC EXCITATION: FREQUENCY-RESPONSE FUNCTIONS
4.3: COMPLEX FREQUENCY RESPONSE
4.4: VIBRATION ISOLATION: FORCE TRANSMISSIBILITY AND BASE MOTION
4.5: VIBRATION MEASURING INSTRUMENTS: ACCELEROMETERS AND VIBROMETERS
4.6: USE OF FREQUENCY-RESPONSE DATA TO DETERMINE THE NATURAL FREQUENCY AND DAMPING FACTOR OF A LIGHTLY DAMPED SDOF SYSTEM
4.7: EQUIVALENT VISCOUS DAMPING
4.8: STRUCTURAL DAMPING
REFERENCES
PROBLEMS
Chapter 5 – Response of SDOF Systems to Nonperiodic Excitation
OVERVIEW
5.1: RESPONSE OF A VISCOUS-DAMPED SDOF SYSTEM TO AN IDEAL STEP INPUT
5.2: RESPONSE OF UNDAMPED SDOF SYSTEMS TO RECTANGULAR PULSE AND RAMP LOADINGS
5.3: RESPONSE OF UNDAMPED SDOF SYSTEMS TO A SHORT-DURATION IMPULSE: UNIT IMPULSE RESPONSE
5.4: RESPONSE OF SDOF SYSTEMS TO GENERAL DYNAMIC EXCITATION: CONVOLUTION INTEGRAL METHOD
5.5: RESPONSE SPECTRA
5.6: SYSTEM RESPONSE BY THE LAPLACE TRANSFORM METHOD: SYSTEM TRANSFER FUNCTION
REFERENCES
PROBLEMS
Chapter 6 – Numerical Evaluation of the Dynamic Response of SDOF Systems
OVERVIEW
6.1: INTEGRATION OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS
6.2: INTEGRATION OF FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS
6.3: NONLINEAR SDOF SYSTEMS
REFERENCES
PROBLEMS
Chapter 7 – Response of SDOF Systems to Periodic Excitation: Frequency-Domain Analysis
OVERVIEW
7.1: RESPONSE TO PERIODIC EXCITATION: REAL FOURIER SERIES
7.2: RESPONSE TO PERIODIC EXCITATION: COMPLEX FOURIER SERIES
7.3: RESPONSE TO NONPERIODIC EXCITATION: FOURIER INTEGRAL
7.4: RELATIONSHIP BETWEEN COMPLEX FREQUENCY RESPONSE AND UNIT IMPULSE RESPONSE
7.5: DISCRETE FOURIER TRANSFORM AND FAST FOURIER TRANSFORM
REFERENCES
PROBLEMS
Part II – Multiple-Degree-of-Freedom Systems—Basic Topics
Chapter 8 – Mathematical Models of MDOF Systems
OVERVIEW
8.1: APPLICATION OF NEWTON’S LAWS TO LUMPED-PARAMETER MODELS
8.2: INTRODUCTION TO ANALYTICAL DYNAMICS: HAMILTON’S PRINCIPLE AND LAGRANGE’S EQUATIONS
8.3: APPLICATION OF LAGRANGE’S EQUATIONS TO LUMPED-PARAMETER MODELS
8.4: APPLICATION OF LAGRANGE’S EQUATIONS TO CONTINUOUS MODELS: ASSUMED-MODES METHOD
8.5: CONSTRAINED COORDINATES AND LAGRANGE MULTIPLIERS
REFERENCES
PROBLEMS
Chapter 9 – Vibration of Undamped 2-DOF Systems
OVERVIEW
9.1: FREE VIBRATION OF 2-DOF SYSTEMS: NATURAL FREQUENCIES AND MODE SHAPES
9.2: BEAT PHENOMENON
9.3: ADDITIONAL EXAMPLES OF MODES AND FREQUENCIES OF 2-DOF SYSTEMS: ASSUMED-MODES MODELS
9.4: FREE VIBRATION OF SYSTEMS WITH RIGID-BODY MODES
9.5: INTRODUCTION TO MODE SUPERPOSITION: FREQUENCY RESPONSE OF AN UNDAMPED 2-DOF SYSTEM
9.6: UNDAMPED VIBRATION ABSORBER
REFERENCE
PROBLEMS
Chapter 10 – Vibration Properties of MDOF Systems: Modes, Frequencies, and Damping
OVERVIEW
10.1: Some Properties of Natural Frequencies and Natural Modes of Undamped Mdof Systems
10.2: MODEL REDUCTION: RAYLEIGH, RAYLEIGH-RITZ, AND ASSUMED-MODES METHODS
10.3: UNCOUPLED DAMPING IN MDOF SYSTEMS
10.4: STRUCTURES WITH ARBITRARY VISCOUS DAMPING: COMPLEX MODES
10.5: NATURAL FREQUENCIES AND MODE SHAPES OF DAMPED STRUCTURES WITH RIGID-BODY MODES
REFERENCES
PROBLEMS
Chapter 11 – Dynamic Response of MDOF Systems: Mode-Superposition Method
OVERVIEW
11.1: MODE-SUPERPOSITION METHOD: PRINCIPAL COORDINATES
11.2: MODE-SUPERPOSITION SOLUTIONS FOR MDOF SYSTEMS WITH MODAL DAMPING: FREQUENCY-RESPONSE ANALYSIS
11.3: MODE-DISPLACEMENT SOLUTION FOR THE RESPONSE OF MDOF SYSTEMS
11.4: MODE-ACCELERATION SOLUTION FOR THE RESPONSE OF UNDAMPED MDOF SYSTEMS
11.5: DYNAMIC STRESSES BY MODE SUPERPOSITION
11.6: MODE SUPERPOSITION FOR UNDAMPED SYSTEMS WITH RIGID-BODY MODES
REFERENCES
PROBLEMS
Part III – Continuous Systems
Chapter 12 – Mathematical Models of Continuous Systems
OVERVIEW
12.1: APPLICATIONS OF NEWTON’S LAWS: AXIAL DEFORMATION AND TORSION
12.2: APPLICATION OF NEWTON’S LAWS: TRANSVERSE VIBRATION OF LINEARLY ELASTIC BEAMS (BERNOULLI-EULER BEAM THEORY)
12.3: APPLICATION OF HAMILTON’S PRINCIPLE: TORSION OF A ROD WITH CIRCULAR CROSS SECTION
12.4: APPLICATION OF THE EXTENDED HAMILTON’S PRINCIPLE: BEAM FLEXURE INCLUDING SHEAR DEFORMATION AND ROTATORY INERTIA (TIMOSHENKO BEAM THEORY)
REFERENCES
PROBLEMS
Chapter 13 – Free Vibration of Continuous Systems
OVERVIEW
13.1: FREE AXIAL AND TORSIONAL VIBRATION
13.2: FREE TRANSVERSE VIBRATION OF BERNOULLI-EULER BEAMS
13.3: RAYLEIGH’S METHOD FOR APPROXIMATING THE FUNDAMENTAL FREQUENCY OF A CONTINUOUS SYSTEM
13.4: FREE TRANSVERSE VIBRATION OF BEAMS INCLUDING SHEAR DEFORMATION AND ROTATORY INERTIA
13.5: SOME PROPERTIES OF NATURAL MODES OF CONTINUOUS SYSTEMS
13.6: FREE VIBRATION OF THIN FLAT PLATES
REFERENCES
PROBLEMS
Part IV – Computational Methods in Structural Dynamics
Chapter 14 – Introduction to Finite Element Modeling of Structures
OVERVIEW
14.1: INTRODUCTION TO THE FINITE ELEMENT METHOD
14.2: ELEMENT STIFFNESS AND MASS MATRICES AND ELEMENT FORCE VECTOR
14.3: TRANSFORMATION OF ELEMENT MATRICES
14.4: ASSEMBLY OF SYSTEM MATRICES: DIRECT STIFFNESS METHOD
14.5: BOUNDARY CONDITIONS
14.6: CONSTRAINTS: REDUCTION OF DEGREES OF FREEDOM
14.7: SYSTEMS WITH RIGID-BODY MODES
14.8: FINITE ELEMENT SOLUTIONS FOR NATURAL FREQUENCIES AND MODE SHAPES
REFERENCES
PROBLEMS
Chapter 15 – Numerical Evaluation of Modes and Frequencies of MDOF Systems
OVERVIEW
15.1: INTRODUCTION TO METHODS FOR SOLVING ALGEBRAIC EIGENPROBLEMS
15.2: VECTOR ITERATION METHODS
15.3: SUBSPACE ITERATION
15.4: QR METHOD FOR SYMMETRIC EIGENPROBLEMS
15.5: LANCZOS EIGENSOLVER
15.6: NUMERICAL CASE STUDY
REFERENCES
PROBLEMS
Chapter 16 – Direct Integration Methods for Dynamic Response of MDOF Systems
OVERVIEW
16.1: DAMPING IN MDOF SYSTEMS
16.2: NUMERICAL INTEGRATION: MATHEMATICAL FRAMEWORK
16.3: INTEGRATION OF SECOND-ORDER MDOF SYSTEMS
16.4: SINGLE-STEP METHODS AND SPECTRAL STABILITY
16.5: NUMERICAL CASE STUDY
REFERENCES
PROBLEMS
Chapter 17 – Component-Mode Synthesis
OVERVIEW
17.1: INTRODUCTION TO COMPONENT-MODE SYNTHESIS
17.2: COMPONENT MODES: NORMAL, CONSTRAINT, AND RIGID-BODY MODES
17.3: COMPONENT MODES: ATTACHMENT AND INERTIA-RELIEF ATTACHMENT MODES
17.4: FLEXIBILITY MATRICES AND RESIDUAL FLEXIBILITY
17.5: SUBSTRUCTURE COUPLING PROCEDURES
17.6: COMPONENT-MODE SYNTHESIS METHODS: FIXED-INTERFACE METHODS
17.7: COMPONENT-MODE SYNTHESIS METHODS: FREE-INTERFACE METHODS
17.8: BRIEF INTRODUCTION TO MULTILEVEL SUBSTRUCTURING
REFERENCES
PROBLEMS
Part V – Advanced Topics in Structural Dynamics
Chapter 18 – Introduction to Experimental Modal Analysis
OVERVIEW
18.1: INTRODUCTION
18.2: FREQUENCY-RESPONSE FUNCTION REPRESENTATIONS
18.3: VIBRATION TEST HARDWARE
18.4: FOURIER TRANSFORMS, DIGITAL SIGNAL PROCESSING, AND ESTIMATION OF FRFs
18.5: MODAL PARAMETER ESTIMATION
18.6: MODE SHAPE ESTIMATION AND MODEL VERIFICATION
REFERENCES
PROBLEMS
Chapter 19 – Introduction to Active Structures
OVERVIEW
19.1: INTRODUCTION TO PIEZOELECTRIC MATERIALS
19.2: CONSTITUTIVE LAWS OF LINEAR PIEZOELECTRICITY
19.3: APPLICATION OF NEWTON’S LAWS TO PIEZOSTRUCTURAL SYSTEMS
19.4: APPLICATION OF EXTENDED HAMILTON’S PRINCIPLE TO PIEZOELECTRICITY
19.5: ACTIVE TRUSS MODELS
19.6: ACTIVE BEAM MODELS
19.7: ACTIVE COMPOSITE LAMINATES
REFERENCES
PROBLEMS
Chapter 20 – Introduction to Earthquake Response of Structures
OVERVIEW
20.1: INTRODUCTION
20.3: RESPONSE OF MDOF SYSTEMS TO EARTHQUAKE EXCITATION
20.4: FURTHER CONSIDERATIONS
REFERENCES
PROBLEMS
Appendix A – Units
OVERVIEW
A.1: SI PREFIXES
A.2: UNIT SYMBOLS
A.3: UNITS FORMED BY MULTIPLICATION AND DIVISION
A.4: NUMBERS
REFERENCE
Appendix B – Complex Numbers
B.1: RECTANGULAR AND POLAR REPRESENTATIONS OF COMPLEX NUMBERS
B.2: ALGEBRA OF COMPLEX NUMBERS
Appendix C – Elements of Laplace Transforms
OVERVIEW
C.1: DEFINITION OF THE ONE-SIDED LAPLACE TRANSFORM
C.2: TRANSFORMATION OF ORDINARY DIFFERENTIAL EQUATIONS
C.3: INVERSE LAPLACE TRANSFORM
C.4: COMPLEX SHIFTING THEOREM
C.5: METHOD OF PARTIAL FRACTIONS
C.6: LAPLACE TRANSFORM PAIRS
REFERENCES
Appendix D – Fundamentals of Linear Algebra
D.1: VECTOR SPACES AND LINEAR OPERATORS
D.2: MATRIX COMPUTATIONS
D.3: COMMON MATRIX DECOMPOSITIONS
D.4: EIGENVALUE PROBLEM
REFERENCES
Appendix E – Introduction to the Use of Matlab
OVERVIEW
E.1: INTRODUCTORY SYNTAX, COMMANDS, AND MATRIX ALGEBRA
E.2: INPUT AND OUTPUT OPERATIONS
E.3: CONDITIONALS
E.4: WRITING FUNCTIONS AND .m-files
E.5: GRAPHICAL OUTPUT
E.6: ARCHITECTURE OF ODE INTEGRATION
REFERENCE
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