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Content<br/>CHAPTER 1 FUNDAMENTALS OF STRUCTURAL VIBRATIONS 1<br/>1-1 Introduction 1<br/>1-2 Definitions and Fundamental Aspects of Periodic Motion, 2 <br/>1-3 Differential Equations of Motion for Various Systems, 6 <br/>1-4 Lagrange's Equation, 11<br/>1-5 Free Vibration of One-Degree Spring-Mass Systems, 16 <br/>1-6 Free Vibration with Viscous Damping, 19<br/>1-7 Free Vibration with Coulomb Damping, 21 <br/>1-8 Free Vibration with Hysteresis Damping, 24<br/>1-9 Free Vibration of Two-Degree Spring-Mass Systems, 25 <br/>1-10 Two-Degree Systems with Viscous Damping, 29<br/>1-11 Free Vibration of Uniform Beams, 31<br/>1-12 Orthogo_nality Properties of Normal Modes, 35 <br/>1-13 The Flexibility Matrix, 36<br/>1-14 The Stiffness Matrix, 37<br/>1-15 Computation of Stiffness Coefficients, 40<br/>Problems, 44 <br/>CHAPTER 2 DYNAMIC RESPONSE OF SPRING-MASS SYSTEMS 49<br/>2-1 Introduction, 49<br/>2-2 Undamped Harmonic Excitations, 50<br/>2-3 Damped Harmonic Excitations, 52<br/>2-4 Impulse, 53<br/>2-5 Dynamic Force of General Type, 54<br/>2-6 Special Types of Forcing Function, 56 <br/>2-7 Numerical Analysis, 67<br/>2-8 Elastoplastic Systems with One Degree of Freedom, 72 <br/>2-9 Systems with Two or More Degrees of Freedom, 80<br/>2-10 Fourier Series, 84<br/>Problems, 88<br/>CHAPTER 3 IDEALIZED BEAMS, FRAMES, AND SIMPLE BUILDINGS 91<br/>3-1 Introduction, 91<br/>3-2 Idealized Beams, 92<br/>3-3 Idealized One-Story Rigid Frames and Buildings, 94 <br/>3-4 Two-Story Rigid Frames and Buildings, 103<br/>3-5 Multistory Rigid Frames and Buildings, 109 <br/>Problems, 115<br/>CHAPTER 4 SYSTEMS WITH INFINITE DEGREES OF FREEDOM 121<br/>4-1 Introduction, 121<br/>4-2 Vibration of Single-Span Beams, 122<br/>4-3 Initial Time Conditions for Beam Motions, 125 <br/>4-4 Vibration of Continuous Beams, 127<br/>4-5 Dynamic Response of Beams, 135<br/>4-6 Dynamic Response Due to Support. Motion, 141<br/>4-7 Differential Equation of Motion for Thin Plates, 143 <br/>Problems, 146<br/>CHAPTER 5 MODAL ANALYSIS 149<br/>5-1 Introduction, 149<br/>5-2 Modal Equations for Spring-Mass Systems, 150 <br/>5-3 Idealized Frames or Buildings, 154<br/>5-4 Modal Equations for Infinite Degree of Freedom Systems, 159 <br/>5-5 Dynamic Response of Beams, 161<br/>5-6 Moving Loads, 163 <br/>5-7 Modal Equation for Simply Supported Thin Plates, 165<br/>5-8 Dynamic Response of Simply Supported Plates, 168<br/>5-9 Dynamic Response of Lumped Parameter Systems, 171<br/>5-10 Stodola's Method and Iteration Procedure, 173<br/>5-11 Iteration Procedure Using Stiffness Coefficients, 180 <br/>5-12 Higher Frequencies of Vibration and Mode Shapes, 184 <br/>5-13 Vibration of Bridges, 188<br/>5-14 Dynamic Response of Frames with Flexible Girders 193<br/>Problems, 198<br/>CHAPTER 6 METHODS OF VIBRATION 201<br/>6-1 Introduction, 201<br/>6-2 Rayleigh's Method, 202<br/>6-3 Myklestad Method for Free Flexural Vibrations, 211 <br/>6-4 Transfer Matrices for Spring-Mass Systems, 216<br/>6-5 Vibration of Spring-Mass Systems by Transfer Matrices, 221 <br/>6-6 Transfer Matrices for Flexural Systems, 225<br/>6-7 Flexural Vibrations by Transfer Matrices, 230 <br/>6-8 Transfer Matrices for Continuous Beams, 234 <br/>6-9 The Dynamic Hinge Concept, 242<br/>Problems, 247<br/>CHAPTER 7 STRUCTURES WITH MEMBERS OF VARIABLE STIFFNESS 251<br/>7-1 Introduction, 251<br/>7-2 Dynamic Response of Beams, 253<br/>7-3 Theory and Method of the Equivalent Systems, 253 <br/>7-4 Natural Frequencies and Mode Shapes for Beams, 266 <br/>7-5 Dynamic Response of Frames with Members of Variable Stiffness, 277<br/>7-6 Beams on Elastic Supports, 283<br/>Problems, 288<br/>CHAPTER 8 FOURIER AND LAPLACE TRANSFORMS 295<br/>8-1 Introduction, 295<br/>8-2 Periodic Excitations and Discrete Spectra, 296 <br/>8-3 Nonperiodic Excitations, 299<br/>8-4 Dynamic Response of Single-Degree Spring-Mass Systems, 303<br/>8-5 Dynamic Response Due t9 a Unit Impulse, 308<br/>8-6 Dynamic Response of Systems with Two or More Freedom, 310<br/>8-7 Convolution, 313<br/>Problems, 314<br/>CHAPTER 9 VARIATIONAL APPROACH 317<br/>9-1 Introduction, 317<br/>9-2 Variational Properties, 318<br/>9-3 Necessary Conditions for an Extremum, 320 <br/>9-4 Functionals with Movable Boundaries, 324 <br/>9-5 Vibration of Strings and Rods, 328<br/>9-6 Free Transverse Vibration of Beams, 331<br/>9-7 Longitudinal Vibrations of Uniform Elastic Beams, 334 <br/>9-8 Vibration of Plates, 337<br/>Problems, 340<br/>CHAPTER 10 APPROXIMATE METHODS FOR DYNAMIC RESPONSE 343<br/>10-1 Introduction, 343<br/>10-2 Fundamental Concepts, 344<br/>10-3 Derivation of Transformation Factors, 346<br/>10-4 Tabulation of Transformation Factors, 351<br/>10-5 Charts for Elastoplastic Response, 361<br/>10-6 Dynamic Response of Beams, 366<br/>10-7 Dynamic Response of Concrete Slabs, 370<br/>Problems, 376<br/>CHAPTER 11 BLAST AND EARTHQUAKE 379<br/>11-1 Introduction, 379<br/>11-2 Dynamic Effects of Nuclear Explosions, 380<br/>11-3 Dynamic Loading on Closed Rectangular Structures, 390<br/>11-4 Computation of Dynamic Loading on Closed Structures, 394<br/>11-5 Dynamic Loading on Rectangular Structures with Openings, 400 <br/>11 -6 Dynamic Loading on Open-Frame Structures, 403 <br/>11-7 Dynamic Loading on Structures with Cylindrical Surfaces, 405 <br/>11-8 Dynamic Analysis of Structures Subjected to Blast Loadings, 408 <br/>11-9 The Earthquake Problem, 411<br/>11-10 Earthquake Intensity Scales, 414<br/>11-11 Earthquake Response of Single-Story Structures, 416 <br/>11-12 Earthquake Response of Multistory Buildings , 419 <br/>11-13 Modal Analysis of Earthquake Response, 423<br/>11-14 Inelastic Response of Multistory Structures, 429 <br/>11-15 Random Analysis for Earthquake Response, 431<br/>11-16 Practical Considerations of Earthquake Design, 432 Problems, 433<br/>CHAPTER 12 STOCHASTIC APPROACH TO STRUCTURAL 437<br/>12-1 Introduction, 437<br/>12-2 Probability, Random Variables, and Distribution Functions, 438 <br/>12-3 Expectations, 441<br/>12-4 Correlation Functions, 442<br/>12-5 Power Spectra Analysis, 443<br/>12-6 Dynamic Response of Structural Systems Due to Random Excitations, 448<br/>12-7 Probability as a Design Process, 456 <br/>Problems, 459<br/>APPENDIX 461<br/>REFERENCES AND BIBLIOGRAPHY 475<br/>INDEX 481 |
