From theory and fundamentals to the latest advances in computational and experimental modal analysis, this is the definitive, updated reference on structural dynamics. This edition updates Professor Craig's classic introduction to structural dynamics, which has been an invaluable resource for practicing engineers and a textbook for undergraduate and graduate courses in vibrations and/or structural dynamics. Along with comprehensive coverage of structural dynamics fundamentals, finite-element-based computational methods, and dynamic testing methods, this Second Edition includes new and expanded coverage of computational methods, as well as introductions to more advanced topics, including experimental modal analysis and "e;active structures."e; With a systematic approach, it presents solution techniques that apply to various engineering disciplines. It discusses single degree-of-freedom (SDOF) systems, multiple degrees-of-freedom (MDOF) systems, and continuous systems in depth; and includes numeric evaluation of modes and frequency of MDOF systems; direct integration methods for dynamic response of SDOF systems and MDOF systems; and component mode synthesis. Numerous illustrative examples help engineers apply the techniques and methods to challenges they face in the real world. MATLAB(r) is extensively used throughout the book, and many of the .m-files are made available on the book's Web site. Fundamentals of Structural Dynamics, Second Edition is an indispensable reference and "e;refresher course"e; for engineering professionals; and a textbook for seniors or graduate students in mechanical engineering, civil engineering, engineering mechanics, or aerospace engineering.
Autorentext
ROY R. CRAIG JR., PHD, is Professor Emeritus of Aerospace Engineering and Engineering Mechanics at The University of Texas at Austin. He has received numerous teaching awards and has worked in industry at Boeing, NASA, and Exxon Production Research Corporation, among others.
ANDREW J. KURDILA, PHD, is the W. Martin Johnson Professor of Mechanical Engineering at the Virginia Polytechnic Institute and State University. His current research focuses on structural dynamics, dynamic systems theory, control theory, and computational mechanics.
Zusammenfassung
FUNDAMENTALS OF STRUCTURAL DYNAMICS
From theory and fundamentals to the latest advances in computational and experimental modal analysis, this is the definitive, updated reference on structural dynamics.
This edition updates Professor Craig's classic introduction to structural dynamics, which has been an invaluable resource for practicing engineers and a textbook for undergraduate and graduate courses in vibrations and/or structural dynamics. Along with comprehensive coverage of structural dynamics fundamentals, finite-elementbased computational methods, and dynamic testing methods, this Second Edition includes new and expanded coverage of computational methods, as well as introductions to more advanced topics, including experimental modal analysis and active structures. With a systematic approach, it presents solution techniques that apply to various engineering disciplines. It discusses single degree-of-freedom (SDOF) systems, multiple degrees-of-freedom (MDOF) systems, and continuous systems in depth; and includes numeric evaluation of modes and frequency of MDOF systems; direct integration methods for dynamic response of SDOF systems and MDOF systems; and component mode synthesis.
Numerous illustrative examples help engineers apply the techniques and methods to challenges they face in the real world. MATLAB® is extensively used throughout the book, and many of the .m-files are made available on the book's Web site. Fundamentals of Structural Dynamics, Second Edition is an indispensable reference and refresher course for engineering professionals; and a textbook for seniors or graduate students in mechanical engineering, civil engineering, engineering mechanics, or aerospace engineering.
Inhalt
Preface to Structural DynamicsAn Introduction to Computer Methods xi
Preface to Fundamentals of Structural Dynamics xiii
About the Authors xv
1 The Science and Art of Structural Dynamics 1
1.1 Introduction to Structural Dynamics 1
1.2 Modeling of Structural Components and Systems 2
1.3 Prototype SpringMass Model 7
1.4 Vibration Testing of Structures 12
1.5 Scope of the Book 12
1.6 Computer Simulations; Supplementary Material on the Website 15
References 16
Problems 16
Part I Single-Degree-of-Freedom Systems 19
2 Mathematical Models of SDOF Systems 21
2.1 Brief Review of the Dynamics of Particles and Rigid Bodies 21
2.2 Elements of Lumped-Parameter Models 24
2.3 Application of Newton's Laws to Lumped-Parameter Models 27
2.4 Application of the Principle of Virtual Displacements to Lumped-Parameter Models 34
2.5 Application of the Principle of Virtual Displacements to Continuous Models: Assumed-Modes Method 41
References 50
Problems 51
3 Free Vibration of SDOF Systems 56
3.1 Free Vibration of Undamped SDOF Systems 58
3.2 Free Vibration of Viscous-Damped SDOF Systems 61
3.3 Stability of Motion 66
3.4 Free Vibration of an SDOF System with Coulomb Damping 70
3.5 Experimental Determination of the Natural Frequency and Damping Factor of an SDOF System 72
References 77
Problems 78
4 Response of SDOF Systems to Harmonic Excitation 81
4.1 Response of Undamped SDOF Systems to Harmonic Excitation 82
4.2 Response of Viscous-Damped SDOF Systems to Harmonic Excitation: Frequency-Response Functions 87
4.3 Complex Frequency Response 93
4.4 Vibration Isolation: Force Transmissibility and Base Motion 96
4.5 Vibration Measuring Instruments: Accelerometers and Vibrometers 101
4.6 Use of Frequency-Response Data to Determine the Natural Frequency and Damping Factor of a Lightly Damped SDOF System 104
4.7 Equivalent Viscous Damping 107
4.8 Structural Damping 111
References 112
Problems 113
5 Response of SDOF Systems to Nonperiodic Excitation 117
5.1 Response of a Viscous-Damped SDOF System to an Ideal Step Input 117
5.2 Response of Undamped SDOF Systems to Rectangular Pulse and Ramp Loadings 119
5.3 Response of Undamped SDOF Systems to a Short-Duration Impulse: Unit Impulse Response 123
5.4 Response of SDOF Systems to General Dynamic Excitation: Convolution Integral Method 125
5.5 Response Spectra 128
5.6 System Response by the Laplace Transform Method: System Transfer Function 136
References 142
Problems 143
6 Numerical Evaluation of the Dynamic Response of SDOF Systems 147
6.1 Integration of Second-Order Ordinary Differential Equations 148
6.2 Integration of First-Order Ordinary Differential Equations 159
6.3 Nonlinear SDOF Systems 171
References 181
Problems 182
7 Response of SDOF Systems to Periodic Excitation: Frequency-Domain Analysis 184
7.1 Response to Periodic Excitation: Real Fourier Series 184
7.2 Response to Periodic Excitation: Complex Fourier Series 189
7.3 Response to Nonperiodic Excitation: Fourier Integral 195
7.4 Relationship Between Complex Frequency Response and Unit Impulse Response 199
7.5 Discrete Fourier Transform and Fast Fourier Transform 200
References 205
Problems 205
Part II Multiple-Degree-of-Freedom SystemsBasic Topics 209
8 Mathematical Models of MDOF Systems 211
8.1 Application of Newton's Laws to Lumped-Par…