{"product_id":"fundamentals-of-structural-dynamics-isbn-9780471430445","title":"Fundamentals of Structural Dynamics","description":"\u003cb\u003eFUNDAMENTALS OF STRUCTURAL DYNAMICS\u003c\/b\u003e \u003cp\u003e\u003cb\u003e From theory and fundamentals to the latest advances in computational and experimental modal analysis, this is the definitive, updated reference on structural dynamics.\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e 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 \u003ci\u003eSecond Edition \u003c\/i\u003eincludes 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. \u003c\/p\u003e\u003cp\u003e Numerous illustrative examples help engineers apply the techniques and methods to challenges they face in the real world. MATLAB\u003csup\u003e®\u003c\/sup\u003e is extensively used throughout the book, and many of the .m-files are made available on the book’s Web site. \u003ci\u003eFundamentals of Structural Dynamics, Second Edition \u003c\/i\u003eis 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. \u003c\/p\u003e\u003cp\u003ePreface to Structural Dynamics—An Introduction to Computer Methods xi\u003c\/p\u003e \u003cp\u003ePreface to Fundamentals of Structural Dynamics xiii\u003c\/p\u003e \u003cp\u003eAbout the Authors xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 The Science and Art of Structural Dynamics 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction to Structural Dynamics 1\u003c\/p\u003e \u003cp\u003e1.2 Modeling of Structural Components and Systems 2\u003c\/p\u003e \u003cp\u003e1.3 Prototype Spring–Mass Model 7\u003c\/p\u003e \u003cp\u003e1.4 Vibration Testing of Structures 12\u003c\/p\u003e \u003cp\u003e1.5 Scope of the Book 12\u003c\/p\u003e \u003cp\u003e1.6 Computer Simulations; Supplementary Material on the Website 15\u003c\/p\u003e \u003cp\u003eReferences 16\u003c\/p\u003e \u003cp\u003eProblems 16\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I Single-Degree-of-Freedom Systems 19\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Mathematical Models of SDOF Systems 21\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Brief Review of the Dynamics of Particles and Rigid Bodies 21\u003c\/p\u003e \u003cp\u003e2.2 Elements of Lumped-Parameter Models 24\u003c\/p\u003e \u003cp\u003e2.3 Application of Newton’s Laws to Lumped-Parameter Models 27\u003c\/p\u003e \u003cp\u003e2.4 Application of the Principle of Virtual Displacements to Lumped-Parameter Models 34\u003c\/p\u003e \u003cp\u003e2.5 Application of the Principle of Virtual Displacements to Continuous Models: Assumed-Modes Method 41\u003c\/p\u003e \u003cp\u003eReferences 50\u003c\/p\u003e \u003cp\u003eProblems 51\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Free Vibration of SDOF Systems 56\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Free Vibration of Undamped SDOF Systems 58\u003c\/p\u003e \u003cp\u003e3.2 Free Vibration of Viscous-Damped SDOF Systems 61\u003c\/p\u003e \u003cp\u003e3.3 Stability of Motion 66\u003c\/p\u003e \u003cp\u003e3.4 Free Vibration of an SDOF System with Coulomb Damping 70\u003c\/p\u003e \u003cp\u003e3.5 Experimental Determination of the Natural Frequency and Damping Factor of an SDOF System 72\u003c\/p\u003e \u003cp\u003eReferences 77\u003c\/p\u003e \u003cp\u003eProblems 78\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Response of SDOF Systems to Harmonic Excitation 81\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Response of Undamped SDOF Systems to Harmonic Excitation 82\u003c\/p\u003e \u003cp\u003e4.2 Response of Viscous-Damped SDOF Systems to Harmonic Excitation: Frequency-Response Functions 87\u003c\/p\u003e \u003cp\u003e4.3 Complex Frequency Response 93\u003c\/p\u003e \u003cp\u003e4.4 Vibration Isolation: Force Transmissibility and Base Motion 96\u003c\/p\u003e \u003cp\u003e4.5 Vibration Measuring Instruments: Accelerometers and Vibrometers 101\u003c\/p\u003e \u003cp\u003e4.6 Use of Frequency-Response Data to Determine the Natural Frequency and Damping Factor of a Lightly Damped SDOF System 104\u003c\/p\u003e \u003cp\u003e4.7 Equivalent Viscous Damping 107\u003c\/p\u003e \u003cp\u003e4.8 Structural Damping 111\u003c\/p\u003e \u003cp\u003eReferences 112\u003c\/p\u003e \u003cp\u003eProblems 113\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Response of SDOF Systems to Nonperiodic Excitation 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Response of a Viscous-Damped SDOF System to an Ideal Step Input 117\u003c\/p\u003e \u003cp\u003e5.2 Response of Undamped SDOF Systems to Rectangular Pulse and Ramp Loadings 119\u003c\/p\u003e \u003cp\u003e5.3 Response of Undamped SDOF Systems to a Short-Duration Impulse: Unit Impulse Response 123\u003c\/p\u003e \u003cp\u003e5.4 Response of SDOF Systems to General Dynamic Excitation: Convolution Integral Method 125\u003c\/p\u003e \u003cp\u003e5.5 Response Spectra 128\u003c\/p\u003e \u003cp\u003e5.6 System Response by the Laplace Transform Method: System Transfer Function 136\u003c\/p\u003e \u003cp\u003eReferences 142\u003c\/p\u003e \u003cp\u003eProblems 143\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Numerical Evaluation of the Dynamic Response of SDOF Systems 147\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Integration of Second-Order Ordinary Differential Equations 148\u003c\/p\u003e \u003cp\u003e6.2 Integration of First-Order Ordinary Differential Equations 159\u003c\/p\u003e \u003cp\u003e6.3 Nonlinear SDOF Systems 171\u003c\/p\u003e \u003cp\u003eReferences 181\u003c\/p\u003e \u003cp\u003eProblems 182\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Response of SDOF Systems to Periodic Excitation: Frequency-Domain Analysis 184\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Response to Periodic Excitation: Real Fourier Series 184\u003c\/p\u003e \u003cp\u003e7.2 Response to Periodic Excitation: Complex Fourier Series 189\u003c\/p\u003e \u003cp\u003e7.3 Response to Nonperiodic Excitation: Fourier Integral 195\u003c\/p\u003e \u003cp\u003e7.4 Relationship Between Complex Frequency Response and Unit Impulse Response 199\u003c\/p\u003e \u003cp\u003e7.5 Discrete Fourier Transform and Fast Fourier Transform 200\u003c\/p\u003e \u003cp\u003eReferences 205\u003c\/p\u003e \u003cp\u003eProblems 205\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II Multiple-Degree-of-Freedom Systems—Basic Topics 209\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Mathematical Models of MDOF Systems 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Application of Newton’s Laws to Lumped-Parameter Models 212\u003c\/p\u003e \u003cp\u003e8.2 Introduction to Analytical Dynamics: Hamilton’s Principle and Lagrange’s Equations 218\u003c\/p\u003e \u003cp\u003e8.3 Application of Lagrange’s Equations to Lumped-Parameter Models 223\u003c\/p\u003e \u003cp\u003e8.4 Application of Lagrange’s Equations to Continuous Models: Assumed-Modes Method 228\u003c\/p\u003e \u003cp\u003e8.5 Constrained Coordinates and Lagrange Multipliers 238\u003c\/p\u003e \u003cp\u003eReferences 240\u003c\/p\u003e \u003cp\u003eProblems 241\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Vibration of Undamped 2-DOF Systems 248\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Free Vibration of 2-DOF Systems: Natural Frequencies and Mode Shapes 249\u003c\/p\u003e \u003cp\u003e9.2 Beat Phenomenon 254\u003c\/p\u003e \u003cp\u003e9.3 Additional Examples of Modes and Frequencies of 2-DOF Systems: Assumed-Modes Models 258\u003c\/p\u003e \u003cp\u003e9.4 Free Vibration of Systems with Rigid-Body Modes 266\u003c\/p\u003e \u003cp\u003e9.5 Introduction to Mode Superposition: Frequency Response of an Undamped 2-DOF System 268\u003c\/p\u003e \u003cp\u003e9.6 Undamped Vibration Absorber 272\u003c\/p\u003e \u003cp\u003eReference 275\u003c\/p\u003e \u003cp\u003eProblems 275\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Vibration Properties of MDOF Systems: Modes, Frequencies, and Damping 281\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Some Properties of Natural Frequencies and Natural Modes of Undamped MDOF Systems 282\u003c\/p\u003e \u003cp\u003e10.2 Model Reduction: Rayleigh, Rayleigh–Ritz, and Assumed-Modes Methods 298\u003c\/p\u003e \u003cp\u003e10.3 Uncoupled Damping in MDOF Systems 302\u003c\/p\u003e \u003cp\u003e10.4 Structures with Arbitrary Viscous Damping: Complex Modes 307\u003c\/p\u003e \u003cp\u003e10.5 Natural Frequencies and Mode Shapes of Damped Structures with Rigid-Body\u003c\/p\u003e \u003cp\u003eModes 316\u003c\/p\u003e \u003cp\u003eReferences 322\u003c\/p\u003e \u003cp\u003eProblems 322\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Dynamic Response of MDOF Systems: Mode-Superposition Method 325\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Mode-Superposition Method: Principal Coordinates 325\u003c\/p\u003e \u003cp\u003e11.2 Mode-Superposition Solutions for MDOF Systems with Modal Damping: Frequency-Response Analysis 330\u003c\/p\u003e \u003cp\u003e11.3 Mode-Displacement Solution for the Response of MDOF Systems 342\u003c\/p\u003e \u003cp\u003e11.4 Mode-Acceleration Solution for the Response of Undamped MDOF Systems 349\u003c\/p\u003e \u003cp\u003e11.5 Dynamic Stresses by Mode Superposition 351\u003c\/p\u003e \u003cp\u003e11.6 Mode Superposition for Undamped Systems with Rigid-Body Modes 353\u003c\/p\u003e \u003cp\u003eReferences 359\u003c\/p\u003e \u003cp\u003eProblems 360\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III Continuous Systems 365\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Mathematical Models of Continuous Systems 367\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Applications of Newton’s Laws: Axial Deformation and Torsion 367\u003c\/p\u003e \u003cp\u003e12.2 Application of Newton’s Laws: Transverse Vibration of Linearly Elastic Beams (Bernoulli–Euler Beam Theory) 374\u003c\/p\u003e \u003cp\u003e12.3 Application of Hamilton’s Principle: Torsion of a Rod with Circular Cross Section 379\u003c\/p\u003e \u003cp\u003e12.4 Application of the Extended Hamilton’s Principle: Beam Flexure Including Shear Deformation and Rotatory Inertia (Timoshenko Beam Theory) 382\u003c\/p\u003e \u003cp\u003eReferences 385\u003c\/p\u003e \u003cp\u003eProblems 385\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Free Vibration of Continuous Systems 388\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Free Axial and Torsional Vibration 388\u003c\/p\u003e \u003cp\u003e13.2 Free Transverse Vibration of Bernoulli–Euler Beams 392\u003c\/p\u003e \u003cp\u003e13.3 Rayleigh’s Method for Approximating the Fundamental Frequency of a Continuous System 398\u003c\/p\u003e \u003cp\u003e13.4 Free Transverse Vibration of Beams Including Shear Deformation and Rotatory Inertia 400\u003c\/p\u003e \u003cp\u003e13.5 Some Properties of Natural Modes of Continuous Systems 401\u003c\/p\u003e \u003cp\u003e13.6 Free Vibration of Thin Flat Plates 405\u003c\/p\u003e \u003cp\u003eReferences 409\u003c\/p\u003e \u003cp\u003eProblems 409\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV Computational Methods in Structural Dynamics 415\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Introduction to Finite Element Modeling of Structures 417\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Introduction to the Finite Element Method 418\u003c\/p\u003e \u003cp\u003e14.2 Element Stiffness and Mass Matrices and Element Force Vector 419\u003c\/p\u003e \u003cp\u003e14.3 Transformation of Element Matrices 430\u003c\/p\u003e \u003cp\u003e14.4 Assembly of System Matrices: Direct Stiffness Method 438\u003c\/p\u003e \u003cp\u003e14.5 Boundary Conditions 445\u003c\/p\u003e \u003cp\u003e14.6 Constraints: Reduction of Degrees of Freedom 447\u003c\/p\u003e \u003cp\u003e14.7 Systems with Rigid-Body Modes 451\u003c\/p\u003e \u003cp\u003e14.8 Finite Element Solutions for Natural Frequencies and Mode Shapes 453\u003c\/p\u003e \u003cp\u003eReferences 462\u003c\/p\u003e \u003cp\u003eProblems 463\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Numerical Evaluation of Modes and Frequencies of MDOF Systems 469\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Introduction to Methods for Solving Algebraic Eigenproblems 469\u003c\/p\u003e \u003cp\u003e15.2 Vector Iteration Methods 471\u003c\/p\u003e \u003cp\u003e15.3 Subspace Iteration 480\u003c\/p\u003e \u003cp\u003e15.4 QR Method for Symmetric Eigenproblems 483\u003c\/p\u003e \u003cp\u003e15.5 Lanczos Eigensolver 489\u003c\/p\u003e \u003cp\u003e15.6 Numerical Case Study 496\u003c\/p\u003e \u003cp\u003eReferences 498\u003c\/p\u003e \u003cp\u003eProblems 498\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Direct Integration Methods for Dynamic Response of MDOF Systems 500\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Damping in MDOF Systems 501\u003c\/p\u003e \u003cp\u003e16.2 Numerical Integration: Mathematical Framework 504\u003c\/p\u003e \u003cp\u003e16.3 Integration of Second-Order MDOF Systems 510\u003c\/p\u003e \u003cp\u003e16.4 Single-Step Methods and Spectral Stability 516\u003c\/p\u003e \u003cp\u003e16.5 Numerical Case Study 525\u003c\/p\u003e \u003cp\u003eReferences 527\u003c\/p\u003e \u003cp\u003eProblems 528\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Component-Mode Synthesis 531\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Introduction to Component-Mode Synthesis 532\u003c\/p\u003e \u003cp\u003e17.2 Component Modes: Normal, Constraint, and Rigid-Body Modes 534\u003c\/p\u003e \u003cp\u003e17.3 Component Modes: Attachment and Inertia-Relief Attachment Modes 539\u003c\/p\u003e \u003cp\u003e17.4 Flexibility Matrices and Residual Flexibility 544\u003c\/p\u003e \u003cp\u003e17.5 Substructure Coupling Procedures 549\u003c\/p\u003e \u003cp\u003e17.6 Component-Mode Synthesis Methods: Fixed-Interface Methods 557\u003c\/p\u003e \u003cp\u003e17.7 Component-Mode Synthesis Methods: Free-Interface Methods 559\u003c\/p\u003e \u003cp\u003e17.8 Brief Introduction to Multilevel Substructuring 564\u003c\/p\u003e \u003cp\u003eReferences 571\u003c\/p\u003e \u003cp\u003eProblems 572\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart V Advanced Topics in Structural Dynamics 577\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Introduction to Experimental Modal Analysis 579\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Introduction 580\u003c\/p\u003e \u003cp\u003e18.2 Frequency-Response Function Representations 584\u003c\/p\u003e \u003cp\u003e18.3 Vibration Test Hardware 590\u003c\/p\u003e \u003cp\u003e18.4 Fourier Transforms, Digital Signal Processing, and Estimation of FRFs 594\u003c\/p\u003e \u003cp\u003e18.5 Modal Parameter Estimation 604\u003c\/p\u003e \u003cp\u003e18.6 Mode Shape Estimation and Model Verification 612\u003c\/p\u003e \u003cp\u003eReferences 615\u003c\/p\u003e \u003cp\u003eProblems 616\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Introduction to Active Structures 617\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Introduction to Piezoelectric Materials 617\u003c\/p\u003e \u003cp\u003e19.2 Constitutive Laws of Linear Piezoelectricity 620\u003c\/p\u003e \u003cp\u003e19.3 Application of Newton’s Laws to Piezostructural Systems 624\u003c\/p\u003e \u003cp\u003e19.4 Application of Extended Hamilton’s Principle to Piezoelectricity 627\u003c\/p\u003e \u003cp\u003e19.5 Active Truss Models 630\u003c\/p\u003e \u003cp\u003e19.6 Active Beam Models 637\u003c\/p\u003e \u003cp\u003e19.7 Active Composite Laminates 641\u003c\/p\u003e \u003cp\u003eReferences 646\u003c\/p\u003e \u003cp\u003eProblems 647\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 Introduction to Earthquake Response of Structures 650\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 Introduction 650\u003c\/p\u003e \u003cp\u003e20.2 Response of a SDOF System to Earthquake Excitation: Response Spectra 652\u003c\/p\u003e \u003cp\u003e20.3 Response of MDOF Systems to Earthquake Excitation 660\u003c\/p\u003e \u003cp\u003e20.4 Further Considerations 664\u003c\/p\u003e \u003cp\u003eReferences 665\u003c\/p\u003e \u003cp\u003eProblems 666\u003c\/p\u003e \u003cp\u003eA Units 667\u003c\/p\u003e \u003cp\u003eB Complex Numbers 671\u003c\/p\u003e \u003cp\u003eC Elements of Laplace Transforms 674\u003c\/p\u003e \u003cp\u003eD Fundamentals of Linear Algebra 682\u003c\/p\u003e \u003cp\u003eE Introduction to the Use of Matlab 697\u003c\/p\u003e \u003cp\u003eIndex 715\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eROY R. CRAIG J\u003csmall\u003eR\u003c\/small\u003e., P\u003csmall\u003eH\u003c\/small\u003eD, \u003c\/b\u003eis 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. \u003c\/p\u003e\u003cp\u003e\u003cb\u003eANDREW J. KURDILA, P\u003csmall\u003eH\u003c\/small\u003eD, \u003c\/b\u003eis 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.    \u003c\/p\u003e\u003cp\u003e\u003cb\u003e From theory and fundamentals to the latest advances in computational and experimental modal analysis, this is the definitive, updated reference on structural dynamics.\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e 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 \u003ci\u003eSecond Edition \u003c\/i\u003eincludes 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. \u003c\/p\u003e\u003cp\u003e Numerous illustrative examples help engineers apply the techniques and methods to challenges they face in the real world. MATLAB\u003csup\u003e®\u003c\/sup\u003e is extensively used throughout the book, and many of the .m-files are made available on the book’s Web site. \u003ci\u003eFundamentals of Structural Dynamics, Second Edition \u003c\/i\u003eis 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.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989264810213,"sku":"NP9780471430445","price":187.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471430445.jpg?v=1761783435","url":"https:\/\/k12savings.com\/products\/fundamentals-of-structural-dynamics-isbn-9780471430445","provider":"K12savings","version":"1.0","type":"link"}