35986841_10216840653711318_1105697261150535680_n

Structural dynamics and probabilistic analyses for engineers / Giora Maymon.

By: Maymon, Giora
Material type: TextTextPublisher: Amsterdam ; Boston : Elsevier Butterworth-Heinemann, c2008Edition: 1st edDescription: xxxiii, 440 p. : ill. ; 24 cm. + 1 CD-ROM (4 3/4 in.)ISBN: 9780750687652Subject(s): Structural dynamics | Structural analysis (Engineering) | ProbabilitiesDDC classification: 624.171 LOC classification: TA654 | .M3788 2008Online resources: Publisher description
Contents:
CHAPTER 1 Some Basics of the Theory of Vibrations 1 1.1 A Single Degree of Freedom System 1 1.2 Response of a SDOF to (Any) Transient Load 7 1.3 Multiple-Degrees-of-Freedom (MDOF) System 11 1.4 Infinite-Degrees-of-Freedom (Continuous) System 18 1.5 Mounted Mass 19 CHAPTER 2 Dynamic Response of Beams and Other Structures to Deterministic Excitation 21 2.1 A Generic Example of a Cantilever Beam 21 2.2 Some Basics of the Slender Beam Theory 21 2.3 Modal Analysis of a Slender Cantilever Beam 25 2.4 Stress Modes of a Slender Cantilever Beam 29 2.5 Response of a Slender Beam to Harmonic Excitation 35 2.5.1 Response of beams to base excitation 37 2.5.2 Response of a cantilever beam to harmonic tip force 38 2.5.3 Response of a cantilever beam to harmonic base excitation 41 2.5.4 Two external forces 44 2.6 Response of a Structure with Mounted Mass to Harmonic Excitation 45 2.7 Symmetric and Anti-symmetric Modes and Loads 52 2.8 Response of a Simply Supported Plate to Harmonic Excitation 57 2.9 Vibrations of Shells 66 CHAPTER 3 Dynamic Response of a Structure to Random Excitation 70 3.1 Random Excitation and Response 70 3.2 Response of an Elastic Structure to Random Excitation 78 3.2.1 Closed form solution 85 3.3 Response of a Cantilever Beam to Clamp Displacement Excitation 88 3.4 Response of a Cantilever Beam to Tip Displacement Excitation 92 3.5 Simulation of an Important Structural Parameter in a Vibration Test 96 3.5.1 Two examples 97 3.6 Response of a Structure to Acoustic Excitation 116 3.7 An Example of a Frame Structure 125 3.8 Response of a Structure with Mounted Mass to Random Excitation 132 3.9 Response of a Simply Supported Plate to Random Excitation 140 CHAPTER 4 Contacts In Structural Systems 146 4.1 Static Contact 146 4.1.1 An example of a static contact problem 147 4.2 Analytical Solution for a Dynamic Contact Problem 150 4.3 The Two DOF Contact Problem 157 4.4 Numerical Solution of a Dynamic Contact Problem-Force Excitation 162 4.5 Numerical Solution of a Dynamic Contact Problem-Base Excitation 167 CHAPTER 5 Nondeterministic Behavior of Structures 173 5.1 Probabilistic Analysis of Structures 173 5.1.1 The basic stress-strength case 177 5.2 Solutions for the Probability of Failure 180 5.2.1 Analytical solution-the Lagrange multiplier method 180 5.2.2 The monte carlo simulation 183 5.2.3 Solution with a probabilistic analysis program 184 5.2.4 Solutions for cases where no closed-form expressions exist 185 5.3 Solution with a Commercial Finite Element Program 191 5.4 Probability of Failure of Dynamically Excited Structures 192 5.5 Structural Systems 198 5.6 Model Uncertainties 208 CHAPTER 6 Random Crack Propagation 217 6.1 Crack Propagation in a Structural Element 217 6.2 Effects of a Static Bias on the Dynamic Crack Growth 223 6.3 Stochastic Crack Growth and the Probability of Failure for Harmonic Excitation 228 6.4 Initial Cracks and Flaws 237 6.5 Probabilistic Crack Growth Using the "Unified" Approach 246 6.6 Stochastic Crack Growth and the Probability of Failure for Random Excitation 266 CHAPTER 7 Design Criteria 275 7.1 Dynamic Design Criteria 275 7.1.1 Case of under-design 276 7.1.2 Case of over-design 277 7.2 The Factor of Safety 283 7.2.1 Factor of safety 283 7.3 Reliability Demonstration of Structural Systems 289 7.3.1 Reliability demonstration (verification) is integrated into the design process 293 7.3.2 Analysis of failure mechanism and failure modes 293 7.3.3 Modeling the structural behavior; and verifying the model by tests 294 7.3.4 Design of structural development tests to surface failure modes 294 73.5 Design of structural development tests to surface unpredicted failure modes 295 73.6 "Cleaning"failure mechanism and failure modes 295 73.7 Determination of the required safety margins, the confidence in the models and the relevant parameters 296 73.8 Determination of the demonstrated reliability by "orders of magnitude" 296 CHAPTER 8 Some Important Computer Programs for Structural Analysis 300 8.1 Finite Elements Programs 300 8.2 Probabilistic Analysis Programs 301 8.3 Crack Propagation Programs 304 8.4 Mathematical Solvers 305 CHAPTER 9 Conclusions-Do and Don't Do in Dynamic and Probabilistic Analyses 307 APPENDIX Computer Files for the Demonstration Problems 313 1 Introduction 313 2 List of Files 314 3 Files Listing 317 References 420 Index 427
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current location Call number Status Notes Date due Barcode
Compact Disk Compact Disk Centeral Library
Second Floor - Engineering & Architecture
624.171 M.G.S 2008 (Browse shelf) Available 230 ENG 900048484
Books Books Centeral Library
Second Floor - Engineering & Architecture
624.171 M.G.S 2008 (Browse shelf) Available 11511

Includes bibliographical references (p. 420-426) and index.

CHAPTER
1 Some Basics of the Theory of Vibrations 1
1.1 A Single Degree of Freedom System 1
1.2 Response of a SDOF to (Any) Transient Load 7
1.3 Multiple-Degrees-of-Freedom (MDOF) System 11
1.4 Infinite-Degrees-of-Freedom (Continuous) System 18
1.5 Mounted Mass 19
CHAPTER
2 Dynamic Response of Beams and Other Structures
to Deterministic Excitation 21
2.1 A Generic Example of a Cantilever Beam 21
2.2 Some Basics of the Slender Beam Theory 21
2.3 Modal Analysis of a Slender Cantilever Beam 25
2.4 Stress Modes of a Slender Cantilever Beam 29
2.5 Response of a Slender Beam to Harmonic Excitation 35
2.5.1 Response of beams to base excitation 37
2.5.2 Response of a cantilever beam to harmonic tip force 38
2.5.3 Response of a cantilever beam to harmonic base excitation 41
2.5.4 Two external forces 44
2.6 Response of a Structure with Mounted Mass to Harmonic
Excitation 45
2.7 Symmetric and Anti-symmetric Modes and Loads 52
2.8 Response of a Simply Supported Plate to Harmonic
Excitation 57
2.9 Vibrations of Shells 66
CHAPTER
3 Dynamic Response of a Structure to Random Excitation 70
3.1 Random Excitation and Response 70
3.2 Response of an Elastic Structure to Random Excitation 78
3.2.1 Closed form solution 85
3.3 Response of a Cantilever Beam to Clamp Displacement
Excitation 88
3.4 Response of a Cantilever Beam to Tip Displacement
Excitation 92
3.5 Simulation of an Important Structural Parameter
in a Vibration Test 96
3.5.1 Two examples 97
3.6 Response of a Structure to Acoustic Excitation 116
3.7 An Example of a Frame Structure 125
3.8 Response of a Structure with Mounted Mass to Random
Excitation 132
3.9 Response of a Simply Supported Plate to Random
Excitation 140
CHAPTER
4 Contacts In Structural Systems 146
4.1 Static Contact 146
4.1.1 An example of a static contact problem 147
4.2 Analytical Solution for a Dynamic Contact Problem 150
4.3 The Two DOF Contact Problem 157
4.4 Numerical Solution of a Dynamic Contact
Problem-Force Excitation 162
4.5 Numerical Solution of a Dynamic Contact
Problem-Base Excitation 167
CHAPTER
5 Nondeterministic Behavior of Structures 173
5.1 Probabilistic Analysis of Structures 173
5.1.1 The basic stress-strength case 177
5.2 Solutions for the Probability of Failure 180
5.2.1 Analytical solution-the Lagrange multiplier method 180
5.2.2 The monte carlo simulation 183
5.2.3 Solution with a probabilistic analysis program 184
5.2.4 Solutions for cases where no closed-form expressions exist 185
5.3 Solution with a Commercial Finite Element Program 191
5.4 Probability of Failure of Dynamically Excited Structures 192
5.5 Structural Systems 198
5.6 Model Uncertainties 208
CHAPTER
6 Random Crack Propagation 217
6.1 Crack Propagation in a Structural Element 217
6.2 Effects of a Static Bias on the Dynamic Crack Growth 223
6.3 Stochastic Crack Growth and the Probability of Failure
for Harmonic Excitation 228
6.4 Initial Cracks and Flaws 237
6.5 Probabilistic Crack Growth Using the "Unified"
Approach 246
6.6 Stochastic Crack Growth and the Probability of Failure
for Random Excitation 266
CHAPTER
7 Design Criteria 275
7.1 Dynamic Design Criteria 275
7.1.1 Case of under-design 276
7.1.2 Case of over-design 277
7.2 The Factor of Safety 283
7.2.1 Factor of safety 283
7.3 Reliability Demonstration of Structural Systems 289
7.3.1 Reliability demonstration (verification) is integrated into
the design process 293
7.3.2 Analysis of failure mechanism and failure modes 293
7.3.3 Modeling the structural behavior; and verifying the model
by tests 294
7.3.4 Design of structural development tests to surface failure
modes 294
73.5 Design of structural development tests to surface
unpredicted failure modes 295
73.6 "Cleaning"failure mechanism and failure modes 295
73.7 Determination of the required safety margins, the
confidence in the models and the relevant parameters 296
73.8 Determination of the demonstrated reliability by "orders of
magnitude" 296
CHAPTER
8 Some Important Computer Programs for Structural Analysis 300
8.1 Finite Elements Programs 300
8.2 Probabilistic Analysis Programs 301
8.3 Crack Propagation Programs 304
8.4 Mathematical Solvers 305
CHAPTER
9 Conclusions-Do and Don't Do in Dynamic and Probabilistic
Analyses 307
APPENDIX
Computer Files for the Demonstration Problems 313
1 Introduction 313
2 List of Files 314
3 Files Listing 317
References 420
Index 427

There are no comments on this title.

to post a comment.