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Structural Dynamics : Theory and Computation - Mario Paz

Structural Dynamics

Theory and Computation

Hardcover Published: 20th April 2006
ISBN: 9781402076671
Number Of Pages: 790

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"The Fifth Edition of Structural Dynamics: Theory and Computation is the complete and comprehensive text in the field. It presents modern methods of analysis and techniques adaptable to computer programming clearly and easily. The book is ideal as a text for advanced undergraduates or graduate students taking a first course in structural dynamics. It is arranged in such a way that it can be used for a one- or two-semester course, or span the undergraduate and graduate levels. In addition, this text will serve the practicing engineer as a primary reference.
The text differs from the standard approach of other presentations in which topics are ordered by their mathematical complexity. This text is organized by the type of structural modeling. The author simplifies the subject by presenting a single degree-of-freedom system in the first chapters, then moves to systems with many degrees-of-freedom in the following chapters. Finally, the text moves to applications of the first chapters and special topics in structural dynamics.
New in this Edition:

  • Problems reworked for SAP2000®.
  • Step-by-step examples of how to use SAP2000® for every application of structural dynamics.
  • Inclusion of companion Web site (extras.springer.com/2004) with three learning aids: SAP2000® student version; source code for the author's educational programs in structural dynamics, so that the results of changed parameters can be seen step-by-step; and the compiler (executable files) for the author's educational programs.
  • Three earthquake engineering chapters updated to the latest ICC® building codes.
  • Materials rearranged so that theory and dynamic analysis precede applications and special topics, facilitating using the book sequentially.
  • Complete instructions provided to advanced topics as foundation for further study.
This text is essential for civil engineering students. Professional civil engineers will find it an ideal reference."  


Preface to the Fifth Editionp. xvii
Preface to the First Editionp. xxi
Structures Modeled as a Single-Degree-of-Freedom Systemp. 1
Undamped Single-Degree-of-Freedom Systemp. 3
Degrees of Freedomp. 4
Undamped Systemp. 5
Springs in Parallel or in Seriesp. 7
Newton's Law of Motionp. 8
Free Body Diagramp. 9
D' Alembert's Principlep. 10
Solution of the Differential Equation of Motionp. 12
Frequency and Periodp. 14
Amplitude of Motionp. 16
Summaryp. 22
Problemsp. 23
Damped Single-Degree-of-Freedom Systemp. 31
Viscous Dampingp. 31
Equation of Motionp. 32
Critically Damped Systemp. 33
Overdamped Systemp. 34
Underdamped Systemp. 35
Logarithmic Decrementp. 37
Summaryp. 44
Problemsp. 45
Response of One-Degree-of-Freedom System to Harmonic Loadingp. 49
Harmonic Excitation: Undamped Systemp. 49
Harmonic Excitation: Damped Systemp. 52
Evaluation of Damping at Resonancep. 60
Bandwidth Method (Half-Power) to Evaluate Dampingp. 61
Energy Dissipated by Viscous Dampingp. 63
Equivalent Viscous Dampingp. 64
Response to Support Motionp. 67
Force Transmitted to the Foundationp. 75
Seismic Instrumentsp. 78
Response of One-Degree-of-Freedom System to Harmonic Loading Using SAP2000p. 80
Summaryp. 92
Analytical Problemp. 94
Problemsp. 96
Response to General Dynamic Loadingp. 101
Duhamel's Integral-Undamped Systemp. 101
Duhamel's Integral-Damped Systemp. 110
Response by Direct Integrationp. 110
Solution of the Equation of Motionp. 112
Program 2-Response by Direct Integrationp. 117
Program 3-Response to Impulsive Excitationp. 120
Response to General Dynamic Loading Using SAP2000p. 126
Summaryp. 137
Analytical Problemsp. 137
Problemsp. 141
Response Spectrap. 149
Construction of Response Spectrump. 149
Response Spectrum for Support Excitationp. 153
Tripartite Response Spectrap. 154
Response Spectra for Elastic Designp. 157
Influence of Local Soil Conditionsp. 161
Response Spectra for Inelastic Systemsp. 163
Response Spectra for Inelastic Designp. 166
Program 6-Seismic Response Spectrap. 171
Summaryp. 174
Problemsp. 174
Nonlinear Structural Responsep. 179
Nonlinear Single Degree-of-Freedom Modelp. 179
Integration of the Nonlinear Equation of Motionp. 181
Constant Acceleration Methodp. 182
Linear Acceleration Step-by-Step Methodp. 184
The Newmark Beta Methodp. 187
Elastoplastic Behaviorp. 188
Algorithm for the Step-by-Step Solution for Elastoplastic Single-Degree-of-Freedom Systemp. 190
Program 5-Response for Elastoplastic Behaviorp. 196
Summaryp. 198
Problemsp. 198
Structures Modeled as Shear Buildingsp. 203
Free Vibration of a Shear Buildingp. 205
Stiffness Equations for the Shear Buildingp. 205
Natural Frequencies and Normal Modesp. 209
Orthogonality Property of the Normal Modesp. 214
Rayleigh's Quotientp. 218
Program 8-Natural Frequencies and Normal Modesp. 220
Free Vibration of a Shear Building Using SAP2000p. 221
Summaryp. 225
Problemsp. 227
Forced Motion of Shear Buildingp. 231
Modal Superposition Methodp. 231
Response of a Shear Building to Base Motionp. 238
Program 9-Response by Modal Superpositionp. 244
Harmonic Forced Excitationp. 246
Program 10-Harmonic Responsep. 251
Forced Motion Using SAP2000p. 254
Combining Maximum Values of Modal Responsep. 265
Summaryp. 266
Problemsp. 267
Reduction of Dynamic Matricesp. 271
Static Condensationp. 271
Static Condensation Applied to Dynamic Problemsp. 275
Dynamic Condensationp. 285
Modified Dynamic Condensationp. 293
Program 12-Reduction of the Dynamic Problemp. 296
Summaryp. 299
Problemsp. 299
Framed Structures Modeled as Discrete Multi-Degree-of-Freedom Systemsp. 303
Dynamic Analysis of Beamsp. 305
Shape Functions for a Beam Segmentp. 305
System Stiffness Matrixp. 311
Inertial Properties-Lumped Massp. 314
Inertial Properties-Consistent Massp. 315
Damping Propertiesp. 320
External Loadsp. 320
Geometric Stiffnessp. 322
Equations of Motionp. 326
Element Forces at Nodal Coordinatesp. 333
Program 13-Modeling Structures as Beamsp. 336
Dynamic Analysis of Beams Using SAP2000p. 339
Summaryp. 347
Problemsp. 347
Dynamic Analysis of Plane Framesp. 353
Element Stiffness Matrix for Axial Effectsp. 353
Element Mass Matrix for Axial Effectsp. 355
Coordinate Transformationp. 359
Program 14-Modeling Structures as Plane Framesp. 367
Dynamic Analysis of Frames Using SAP2000p. 370
Summaryp. 376
Problemsp. 376
Dynamic Analysis of Grid Framesp. 381
Local and Global Coordinate Systemsp. 381
Torsional Effectsp. 382
Stiffness Matrix for a Grid Elementp. 384
Consistent Mass Matrix for a Grid Elementp. 385
Lumped Mass Matrix for a Grid Elementp. 385
Transformation of Coordinatesp. 386
Program 15-Modeling Structures as Grid Framesp. 392
Dynamic Analysis of Grid Frames Using SAP2000p. 395
Summaryp. 403
Problemsp. 403
Dynamic Analysis of Three-Dimensional Framesp. 407
Element Stiffness Matrixp. 407
Element Mass Matrixp. 409
Element Damping Matrixp. 410
Transformation of Coordinatesp. 410
Differential Equation of Motionp. 414
Dynamic Responsep. 415
Program 16-Modeling Structures as Space Framesp. 415
Dynamic Response of Three-Dimensional Frames Using SAP2000p. 418
Summaryp. 426
Problemsp. 427
Dynamic Analysis of Trussesp. 429
Stiffness and Mass Matrices for the Plane Trussp. 429
Transformation of Coordinatesp. 432
Program 17-Modeling Structures as Plane Trussesp. 438
Stiffness and Mass Matrices for Space Trussesp. 441
Equation of Motion for Space Trussesp. 443
Program 18-Modeling Structures as Space Trussesp. 444
Dynamic Analysis of Trusses Using SAP2000p. 446
Summaryp. 459
Problemsp. 459
Dynamic Analysis of Structures using the Finite Element Methodp. 463
Plane Elasticity Problemsp. 464
Triangular Plate Element for Plane Elasticity problemsp. 465
SAP2000 for Plane Elasticity Problemp. 472
Plate Bendingp. 477
Rectangular Element for Plate Bendingp. 478
SAP2000 for Plate Bending and Shell Problemsp. 484
Summaryp. 491
Problemsp. 493
Time History Response of Multidegree-of-Freedom Systemsp. 495
Incremental Equations of Motionp. 495
The Wilson-[theta] Methodp. 497
Algorithm for Step-by-Step Solution of a Linear System Using the Wilson-[theta] Methodp. 500
Initializationp. 500
For Each Time Stepp. 500
Program 19-Response by Step Integrationp. 505
The Newmark Beta Methodp. 506
Elastoplastic Behavior of Framed Structuresp. 508
Member Stiffness Matrixp. 508
Member Mass Matrixp. 511
Rotation of Plastic Hingesp. 513
Calculation of Member Ductility Ratiop. 514
Time-History Response of Multidegree-of-Freedom Systems Using SAP2000p. 515
Summaryp. 521
Problemsp. 522
Structures Modeled with Distributed Propertiesp. 525
Dynamic Analysis of Systems with Distributed Propertiesp. 527
Flexural Vibration of Uniform Beamsp. 527
Solution of the Equation of Motion in Free Vibrationp. 529
Natural Frequencies and Mode Shapes for Uniform Beamsp. 531
Both Ends Simply Supportedp. 531
Both Ends Free (Free Beam)p. 534
Both Ends Fixedp. 535
One End Fixed and the other End Free (Cantilever Beam)p. 537
One End Fixed and the other End Simply Supportedp. 538
Orthogonality Condition Between Normal Modesp. 540
Forced Vibration of Beamsp. 542
Dynamic Stresses in Beamsp. 547
Summaryp. 549
Problemsp. 550
Discretization of Continuous Systemsp. 553
Dynamic Matrix for Flexural Effectsp. 554
Dynamic Matrix for Axial Effectsp. 556
Dynamic Matrix for Torsional Effectsp. 558
Beam Flexure Including Axial-Force Effectp. 560
Power Series Expansion of the Dynamic Matrix for Flexural Effectsp. 563
Power Series Expansion of the Dynamic Matrix for Axial and for Torsional Effectsp. 564
Power Series Expansion of the Dynamic Matrix Including the Effects of Axial Forcesp. 565
Summaryp. 566
Special Topics: Fourier Analysis, Evaluation of Absolute Damping, Generalized Coordinatesp. 567
Fourier Analysis and Response in the Frequency Domainp. 569
Fourier Analysisp. 569
Response to a Loading Represented by Fourier Seriesp. 570
Fourier Coefficients for Piecewise Linear Functionsp. 573
Exponential Form of Fourier Seriesp. 574
Discrete Fourier Analysisp. 575
Fast Fourier Transformp. 578
Program 4-Response in the Frequency Domainp. 580
Summaryp. 586
Problemsp. 586
Evaluation of Absolute Damping from Modal Damping Ratiosp. 593
Equations for Damped Shear Buildingp. 593
Uncoupled Damped Equationsp. 595
Conditions for Damping Uncouplingp. 596
Program 11-Absolute Damping From Modal Damping Ratiosp. 602
Summaryp. 604
Problemsp. 604
Generalized Coordinates and Rayleigh's Methodp. 607
Principle of Virtual Workp. 607
Generalized Single-Degree-of-Freedom System-Rigid Bodyp. 609
Generalized Single-Degree-of-Freedom System-Distributed Elasticityp. 612
Shear Forces and Bending Momentsp. 617
Generalized Equation of Motion for a Multistory Buildingp. 621
Shape Functionp. 624
Rayleigh's Methodp. 628
Improved Rayleigh's Methodp. 636
Shear Wallsp. 639
Summaryp. 642
Problemsp. 643
Random Vibrationp. 649
Random Vibrationp. 651
Statistical Description of Random Functionsp. 652
Probability Density Functionp. 654
The Normal Distributionp. 656
The Rayleigh Distributionp. 657
Correlationp. 659
The Fourier Transformp. 663
Spectral Analysisp. 665
Spectral Density Functionp. 669
Narrow-Band and Wide-Band Random processesp. 671
Response to Random Excitation: Single-Degree-of-Freedom Systemp. 675
Response to Random Excitation: Multiple-Degree-of-Freedom Systemp. 681
Relationship Between Complex Frequency Response and Unit Impulse Responsep. 681
Response to Random Excitation: Two-degree-of-freedom Systemp. 683
Response to Random Excitation: N Degree of Freedom Systemp. 688
Summaryp. 691
Problemsp. 692
Earthquake Engineeringp. 697
Uniform Building Code 1997: Equivalent Lateral Force Methodp. 699
Earthquake Ground Motionp. 700
Equivalent Lateral Force Methodp. 703
Earthquake-Resistant Design Methodsp. 703
Seismic Zone Factorp. 703
Base Shear Forcep. 704
Distribution of Lateral Seismic Forcesp. 711
Story Shear Forcep. 711
Horizontal Torsional Momentp. 712
Overturning Momentp. 713
P-Delta Effect (P-[delta])p. 713
Redundancy/Reliability Factor pp. 715
Story Drift Limitationp. 715
Diaphragm Design Forcesp. 716
Earthquake Load Effectp. 717
Irregular Structuresp. 717
Summaryp. 726
Problemsp. 726
Uniform Building Code 1997: Dynamic Methodp. 731
Modal Seismic Response of Buildingsp. 731
Modal Equation and Participation Factorp. 732
Modal Shear Forcep. 733
Effective Modal Weightp. 734
Modal Lateral Forcesp. 735
Modal Displacementsp. 735
Modal Driftp. 736
Modal Overturning Momentp. 736
Modal Torsional Momentp. 737
Total Design Valuesp. 737
Provisions of UBC-97: Dynamic Methodp. 738
Scaling of Resultsp. 740
Program 24-UBC 1997 Dynamic Lateral Force Methodp. 750
Summaryp. 754
Problemsp. 755
International Building Code IBC-2000p. 757
Response Spectral Acceleration: S[subscript s], S[subscript 1]p. 757
Soil Modification Response Spectral Acceleration: S[subscript MS], S[subscript M1]p. 758
Design Response Spectral Acceleration: S[subscript DS], S[subscript D1]p. 759
Site Class Definition: A, B, ...Fp. 760
Seismic Use Group (SUG) and Occupancy Importance Factor (I[subscript E])p. 760
Seismic Design Category (A, B, C, D, E and F)p. 761
Design Response Spectral Curve: S[subscript a] v.s. Tp. 763
Determination of the Fundamental Periodp. 766
Minimum lateral Force Procedure [IBC-2000: Section 1616.4.1]p. 767
Simplified Analysis Procedure [IBC-2000: Section 1617.5]p. 768
Seismic Base Shearp. 768
Response Modification Factor Rp. 768
Vertical Distribution of Lateral Forcesp. 769
Equivalent Seismic Lateral Force Method: [IBC-2000: Section 1617.4]p. 769
Distribution of Lateral Forcesp. 771
Overturning Momentsp. 771
Horizontal Torsional Momentp. 772
P-Delta Effect (P-[delta])p. 772
Story Driftp. 773
Redundancy/Reliability Factorp. 774
Earthquake Load Effectp. 775
Building Irregularitiesp. 775
Summaryp. 781
Appendicesp. 783
Answers to Problems in Selected Chaptersp. 785
Computer Programsp. 793
Glossaryp. 795
Selected Bibliographyp. 803
Indexp. 807
Table of Contents provided by Rittenhouse. All Rights Reserved.

ISBN: 9781402076671
ISBN-10: 1402076673
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 790
Published: 20th April 2006
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 4.29
Weight (kg): 1.31
Edition Number: 5
Edition Type: Revised

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