Reliability Evaluation of Dynamic Systems Excited in Time Domain Redse - Alternative to Random Vibration and Simulation

Informationen zum Autor Achintya Haldar - University of Arizona, Tucson, Arizona, USA Hamoon Azizsoltani - North Carolina State University, Raleigh, North Carolina, USA J. Ramon Gaxiola-Camacho - Autonomous University of Sinaloa, Culiacan, Mexico Sayyed Mohsen Vazirizade - Vanderbilt University, Nashville, Tennessee, USA Jungwon Huh - Chonnam National University, Gwangju, Korea Klappentext RELIABILITY EVALUATION OF DYNAMIC SYSTEMS EXCITED IN TIME DOMAIN - REDSETMulti-disciplinary approach to structural reliability analysis for dynamic loadings offering a practical alternative to the random vibration theory and simulationReliability Evaluation of Dynamic Systems Excited in Time Domain - REDSET is a multidisciplinary concept that enables readers to estimate the underlying risk that could not be solved in the past. The major hurdle was that the required limit state functions (LSFs) are implicit in nature and the lack of progress in the reliability evaluation methods for this class of problems. The most sophisticated deterministic analysis requires that the dynamic loadings must be applied in the time domain. To satisfy these requirements, REDSET is developed. Different types and forms of dynamic loadings including seismic, wind-induced wave, and thermomechanical loading in the form of heating and cooling of solder balls used in computer chips are considered to validate REDSET. Time domain representations and the uncertainty quantification procedures including the use of multiple time histories are proposed and demonstrated for all these dynamic loadings. Both onshore and offshore structures are used for validation. The potential of REDSET is demonstrated for implementing the Performance Based Seismic Design (PBSD) concept now under development in the United States. For wider multidisciplinary applications, structures are represented by finite elements to capture different types of nonlinearity more appropriately. Any computer program capable of conducting nonlinear time domain dynamic analysis can be used, and the underlying risk can be estimated with the help of several dozens or hundreds of deterministic finite element analyses, providing an alternative to the simulation approach. To aid comprehension of REDSET, numerous illustrative examples and solution strategies are presented in each chapter. Written by award-winning thought leaders from academia and professional practice, the following sample topics are included:* Fundamentals of reliability assessment including set theory, modeling of uncertainty, the risk-based engineering design concept, and the evolution of reliability assessment methods* Implicit performance or limit state functions are expressed explicitly by the extensively modified response surface method with several new experimental designs* Uncertainty quantification procedures with multiple time histories for different dynamic loadings, illustrated with examples* The underlying risk can be estimated using any computer program representing structures by finite elements with only few deterministic analyses* REDSET is demonstrated to be an alternative to the classical random vibration concept and the basic simulation procedure for risk estimation purposes* REDSET changes the current engineering design paradigm. Instead of conducting one deterministic analysis, a design can be made more dynamic load tolerant, resilient, and sustainable with the help of a few additional deterministic analysesThis book describing REDSET is expected to complement two other books published by Wiley and authored by Haldar and Mahadevan: Probability, Reliability and Statistical Methods in Engineering Design and Reliability Assessment Using Stochastic Finite Element Analysis. The book is perfect to use as a supplementary resource for upper-level undergraduate and graduate level courses on reliability a...

List of contents

1 REDSET and Its Necessity 1
 
1.1 Introductory Comments 1
 
1.2 Reliability Evaluation Procedures Existed Around 2000 2
 
1.3 Improvements or Alternative to Stochastic Finite Element Method (SFEM) 2
 
1.4 Other Alternatives Besides SFEM 4
 
1.4.1 Random Vibration 4
 
1.4.2 Alternative to Basic Monte Carlo Simulation 5
 
1.4.3 Alternatives to Random Vibration Approach for Large Problems 5
 
1.4.4 Physics-Based Deterministic FEM Formulation 5
 
1.4.5 Multidisciplinary Activities to Study the Presence of Uncertainty in Large Engineering Systems 6
 
1.4.6 Laboratory Testing 7
 
1.5 Justification of a Novel Risk Estimation Concept REDSET Replacing SFEM 7
 
1.6 Notes for Instructors 8
 
1.7 Notes to Students 9
 
Acknowledgments 9
 
2 Fundamentals of Reliability Assessment 11
 
2.1 Introductory Comments 11
 
2.2 Set Theory 12
 
2.3 Modeling of Uncertainty 14
 
2.3.1 Continuous Random Variables 15
 
2.3.2 Discrete Random Variables 16
 
2.3.3 Probability Distribution of a Random Variable 16
 
2.3.4 Modeling of Uncertainty for Multiple Random Variables 17
 
2.4 Commonly Used Probability Distributions 19
 
2.4.1 Commonly Used Continuous and Discrete Random Variables 19
 
2.4.2 Combination of Discrete and Continuous Random Variables 20
 
2.5 Extreme Value Distributions 20
 
2.6 Other Useful Distributions 21
 
2.7 Risk-Based Engineering Design Concept 21
 
2.8 Evolution of Reliability Estimation Methods 25
 
2.8.1 First-Order Second-Moment Method 25
 
2.8.2 Advanced First-Order Reliability Method (AFOSM) 26
 
2.8.3 Hasofer-Lind Method 26
 
2.9 AFOSM for Non-Normal Variables 31
 
2.9.1 Two-Parameter Equivalent Normal Transformation 31
 
2.9.2 Three-Parameter Equivalent Normal Transformation 33
 
2.10 Reliability Analysis with Correlated Random Variables 33
 
2.11 First-Order Reliability Method (FORM) 35
 
2.11.1 FORM Method 1 35
 
2.11.2 Correlated Non-Normal Variables 37
 
2.12 Probabilistic Sensitivity Indices 39
 
2.13 FORM Method 2 40
 
2.14 System Reliability Evaluation 40
 
2.15 Fundamentals of Monte Carlo Simulation Technique 41
 
2.15.1 Steps in Numerical Experimentations Using Simulation 42
 
2.15.2 Extracting Probabilistic Information from N Data Points 43
 
2.15.3 Accuracy and Efficiency of Simulation 43
 
2.16 Concluding Remarks 44
 
3 Implicit Performance or Limit State Functions 47
 
3.1 Introductory Comments 47
 
3.2 Implicit Limit State Functions - Alternatives 48
 
3.3 Response Surface Method 49
 
3.4 Limitations of Using the Original RSM Concept for the Structural Reliability Estimation 50
 
3.5 Generation of Improved Response Surfaces 51
 
3.5.1 Polynomial Representation of an Improved Response Surface 52
 
3.6 Experimental Region, Coded Variables, and Center Point 54
 
3.6.1 Experimental Region and Coded Variables 54
 
3.6.2 Experimental Design 55
 
3.6.3 Saturated Design 56
 
3.6.4 Central Composite Design 56
 
3.7 Analysis of Variance 56
 
3.8 Experimental Design for Second-Order Polynomial 58
 
3.8.1 Experimental Design - Model 1: SD with Second-Order Polynomial without Cross Terms 58
 
3.8.2 Experimental Design - Model 2: SD with Second-Order Polynomial with Cross Terms 59
 
3.8.3 Experimental Design - Model 3: CCD with Second-Order Polynomial with Cross Terms 61
 
3.9 Comparisons of the Three Basic Factorial Desig

Product details

• Authors: Hamoon Azizsoltani, Gaxiola-Camac, J. Ramon Gaxiola-Camacho, Haldar, a Haldar, Achintya Haldar, Achintya (University of Arizona Haldar, Haldar Achintya, Jungwon Huh, Sayyed Mohsen Vazirizade
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 31.05.2023
• EAN: 9781119901648
• ISBN: 978-1-119-90164-8
• No. of pages: 304
• Subjects: Natural sciences, medicine, IT, technology > Technology > Structural and environmental engineering; Tragwerk, Tragwerke, Baustatik, Bauingenieur- u. Bauwesen, Civil Engineering & Construction, Baustatik u. Baumechanik, Structural Theory & Structural Mechanics, Tief- u. Hochbau / Massivbau, Technische Zuverlässigkeit, Structures, Structural & Building Engineering