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Reliability Evaluation Of Dynamic Systems Excited In Time Domain Redset


Reliability Evaluation Of Dynamic Systems Excited In Time Domain Redset
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Reliability Evaluation Of Dynamic Systems Excited In Time Domain Redset


Reliability Evaluation Of Dynamic Systems Excited In Time Domain Redset
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Author : Achintya Haldar
language : en
Publisher: John Wiley & Sons
Release Date : 2023-03-21

Reliability Evaluation Of Dynamic Systems Excited In Time Domain Redset written by Achintya Haldar and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-21 with Technology & Engineering categories.


RELIABILITY EVALUATION OF DYNAMIC SYSTEMS EXCITED IN TIME DOMAIN – REDSET Multi-disciplinary approach to structural reliability analysis for dynamic loadings offering a practical alternative to the random vibration theory and simulation Reliability 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 analyses This 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 and risk-based design.



Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1977

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Aeronautics categories.




Conference Papers Index


Conference Papers Index
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Author :
language : en
Publisher:
Release Date : 1987

Conference Papers Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Engineering categories.




Government Reports Annual Index


Government Reports Annual Index
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Author :
language : en
Publisher:
Release Date : 1982

Government Reports Annual Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Research categories.


Sections 1-2. Keyword Index.--Section 3. Personal author index.--Section 4. Corporate author index.-- Section 5. Contract/grant number index, NTIS order/report number index 1-E.--Section 6. NTIS order/report number index F-Z.



Government Reports Announcements Index


Government Reports Announcements Index
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Author :
language : en
Publisher:
Release Date : 1987

Government Reports Announcements Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.




Science Citation Index


Science Citation Index
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Author :
language : en
Publisher:
Release Date : 1994

Science Citation Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.


Vols. for 1964- have guides and journal lists.



Reliability Analysis Of Linear Dynamic Systems By Importance Sampling Separable Monte Carlo Technique


Reliability Analysis Of Linear Dynamic Systems By Importance Sampling Separable Monte Carlo Technique
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Author : Badal Thapa
language : en
Publisher:
Release Date : 2020

Reliability Analysis Of Linear Dynamic Systems By Importance Sampling Separable Monte Carlo Technique written by Badal Thapa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Monte Carlo method categories.


For many problems, especially nonlinear systems, the reliability assessment must be done in the time domain. Monte-Carlo simulation (MCS) can accurately assess the reliability of the system. However, its computational cost is highly expensive for the complex dynamic system. Importance Sampling (IS) method is a more efficient method than standard MCS for the reliability assessment of a system. It has been applied to dynamic systems when the excitation is defined by a Power Spectral Density (PSD) function. The central idea of the IS method is about generating sample time histories using a sampling PSD and introducing the likelihood ratio to each replication to give the unbiased estimator of the probability of failure. Another more efficient method than MCS for the reliability assessment of the dynamic system is the Separable Monte-Carlo (SMC) method. However, this method has been applied to linear dynamic systems as following. It starts with the step of drawing frequencies from PSD of excitation, calculation of system responses to each frequency, and storing them in a database. Then the stored frequencies and the respective responses are chosen randomly with the replacement for each replication to find the system response to the linear combination of the respective sinusoidal functions. Therefore, SMC can assess the reliability of the system with a proper database. The size of the database would depend on the shape of the PSD function and the complexity of the system. This research proposed a new method by combining IS with SMC to assess the reliability of linear dynamic systems. In this method, the database of the proposed method formed by using a sampling PSD is used to estimate the reliability of the system for the true spectrum The proposed method is more efficient than both IS or SMC methods individually in terms of both computational time and accuracy. The proposed method is demonstrated using a 10-bar truss.



An Efficient Method To Assess Reliability Under Dynamic Stochastic Loads


An Efficient Method To Assess Reliability Under Dynamic Stochastic Loads
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Author : Mahdi Norouzi
language : en
Publisher:
Release Date : 2012

An Efficient Method To Assess Reliability Under Dynamic Stochastic Loads written by Mahdi Norouzi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Engineering systems categories.


The objective of this research is to develop an efficient method to study the reliability of dynamic large complex engineering systems. In design of real-life dynamic systems, there are significant uncertainties in modeling the input. For instance, for an offshore wind turbine, there are considerable uncertainties in the power spectral density functions of the wave elevations or the wind speeds. Therefore, it is necessary to evaluate the reliability of a system for different power spectral density functions of the input loads. The reliability analysis of dynamic systems requires performing Monte Carlo simulations in time domain with thousands of replications. The computational cost of such analyses is prohibitive for most real-life complex systems. In this study, a new method is proposed to reduce the computational cost of the reliability study of dynamic systems. This method is applicable to the dynamic systems in which the loads are represented using power spectral density functions. This goal is achieved by estimating the reliability for several power spectral densities of a load by re-weighting the results of a single Monte Carlo simulation for one power spectral density function of the load. The proposed approach is based on Probabilistic Re-analysis method that is similar to the idea of Importance Sampling. That is the main variance reduction technique, which is used to lower the computational cost of Monte Carlo simulation. The proposed method extends the application of the Probabilistic Re-Analysis, which has already been applied to static problems, to dynamic problems. Static problems are modeled using random variables that are invariant with time whereas in dynamic systems both the excitation and the response are stochastic processes varying with time. Utilizing Shinozuka's method is the key idea because it enables representing a time varying random process in terms of random variables. This new approach can significantly lower the cost of the sensitivity reliability analysis of dynamic systems. This study also presents a new approach to apply Subset Simulation efficiently to dynamic problems. Subset Simulation is more efficient than Monte Carlo simulation in estimating the probability of first excursion failure of highly reliable systems. This method is based on the idea that a small failure probability can be calculated as a product of larger conditional probabilities of intermediate events. The method is more efficient because it is much faster to calculate several large probabilities than a single low probability. However, Subset Simulation is often impractical for random vibration problems because it requires considering numerous random variables that makes it very difficult to explore the space of the random variables due to its large dimension. A new approach is proposed in this research to perform Subset Simulation that utilizes Shinozuka's equation to calculate the time series of the loads from a power spectral density function. The commutative property of Shinozuka's equation enables taking advantage of its symmetry, thereby reducing the dimension of the space of the random variables in dynamic problems. Therefore, performing Subset Simulation using the new approach is more efficient than the original Subset Simulation. In addition, Shinozuka's equation assists in integrating Subset Simulation with Probabilistic Re-analysis. This new method, which is called Subset-PRRA, is more efficient than regular Probabilistic Re-analysis as the latter is based on Monte Carlo simulation, whereas Subset-PRRA reuses the results of Subset Simulation. For an offshore wind turbine, the wind and waves are represented by power spectral density functions; Subset-PRRA seems to be a promising tool to cut the computational cost of the sensitivity analysis of first excursion reliability of an offshore wind turbine. The application of the Probabilistic Re-analysis in reliability analysis of an offshore wind turbine is demonstrated in this research through two examples in which only changes in the power spectral density function of the wave elevation are considered. The method is also applicable to the case that the wind spectrum changes, but requires calculation of wind field time histories using Shinozuka's method. Finally, a probabilistic approach for the structural design of an offshore wind turbine under the Lake Erie environment is presented. To perform probabilistic design, the dependence between wind, wave and period should be modeled accurately. Modeling the dependence between wind and wave is expensive, as it requires a large amount of data. Many researchers, similar to the approach presented in the International Electrotechnical Commission standards, assume that wave height follows standard distributions conditional on wind speed. In this work, an alternative approach is used that is based on the application of copulas. This approach is more complete because the joint distribution is obtained without making any assumption on the conditional distributions. Using the joint distribution, a methodology to find the required load capacity of the structure to meet the target reliability based on Monte Carlo simulation and Tail-fitting method is presented.



Dynamic System Reliability


Dynamic System Reliability
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Author : Liudong Xing
language : en
Publisher: John Wiley & Sons
Release Date : 2019-03-18

Dynamic System Reliability written by Liudong Xing and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-18 with Technology & Engineering categories.


Offers timely and comprehensive coverage of dynamic system reliability theory This book focuses on hot issues of dynamic system reliability, systematically introducing the reliability modeling and analysis methods for systems with imperfect fault coverage, systems with function dependence, systems subject to deterministic or probabilistic common-cause failures, systems subject to deterministic or probabilistic competing failures, and dynamic standby sparing systems. It presents recent developments of such extensions involving reliability modelling theory, reliability evaluation methods, and features numerous case studies based on real-world examples. The presented dynamic reliability theory can enable a more accurate representation of actual complex system behavior, thus more effectively guiding the reliable design of real-world critical systems. Dynamic System Reliability: Modelling and Analysis of Dynamic and Dependent Behaviors begins by describing the evolution from the traditional static reliability theory to the dynamic system reliability theory, and provides a detailed investigation of dynamic and dependent behaviors in subsequent chapters. Although written for those with a background in basic probability theory and stochastic processes, the book includes a chapter reviewing the fundamentals that readers need to know in order to understand contents of other chapters which cover advanced topics in reliability theory and case studies. The first book systematically focusing on dynamic system reliability modelling and analysis theory Provides a comprehensive treatment on imperfect fault coverage (single-level/multi-level or modular), function dependence, common cause failures (deterministic and probabilistic), competing failures (deterministic and probabilistic), and dynamic standby sparing Includes abundant illustrative examples and case studies based on real-world systems Covers recent advances in combinatorial models and algorithms for dynamic system reliability analysis Offers a rich set of references, providing helpful resources for readers to pursue further research and study of the topics Dynamic System Reliability: Modelling and Analysis of Dynamic and Dependent Behaviors is an excellent book for undergraduate and graduate students, and engineers and researchers in reliability and related disciplines.



Reliability Assessment And Random Vibrations Of Time Dependent Systems


Reliability Assessment And Random Vibrations Of Time Dependent Systems
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Author :
language : en
Publisher:
Release Date : 2017

Reliability Assessment And Random Vibrations Of Time Dependent Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Engineering categories.


Reliability and fatigue life estimation are important in acquisition, maintenance and operation of engineering products. Time-dependent reliability has become an important area of research in recent years, in order to design products which perform their desired function throughout their lifecycle. Without considering the reliability degradation through time, munexpected (sic) failures may occur and lifecycle cost may increase due to potential warranty costs, repairs and loss of market share. In this research, we introduce three new methods for calculating the uncertainty in the output of dynamic, linear and non-linear vibratory systems excited by Gaussian and non-Gaussian imput random processes. After the calculation of output uncertainty, we estimate the time-dependent reliability as well as the probability distribution of fatigue life. The first method we introduced, performs reliability analysis of linear vibratory systems with random parameters, excited by stationary of non stationary Gaussian random processes. We space-fill the imput parameter space and for each design point, we calculate the corresponding time-dependent conditional probability of failure, using random vibration principles and integral equation involving up-crossing and joint up-crossing rates. A time-dependent metamodel is then created between the input parameters and the output conditional probabilities. Using this metamodel we can estimate the conditional probabilities for any set of input parameters. Finally, the total probability theorem is applied to calculate the overall time-dependent probability of failure. The second methodology calculates the statistics of the output process of a linear vibratory system excited by non-Gaussian random processes, condisering (sic) the effects of skewness and kurtosis. The non-Gaussian processes are characterized using their first four statistical moments and a correlation structure. For the output processes, the moments and autocorrelation can be calculated analytically. A stochastic metamodel is developed for the output, to generate new trajectories without solving the system. Finally, fatigue analysis is performed and the PDF of fatigue life is calculated. The third methodology is similar with the second, but is applicable to nonlinear vibratory systems excited by non-Gaussian random processes. The four moments and autocorrelation of output processes, are calculated using time integration of the system differential equations of motion. The time-dependent probability of failure is calculated, using a stochastic metamodel developed for the output process. All new methodologies are demonstrated with representative examples.