An Efficient Method To Assess Reliability Under Dynamic Stochastic Loads
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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.
Iutam Symposium On The Vibration Analysis Of Structures With Uncertainties
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Author : Alexander K. Belyaev
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-02
Iutam Symposium On The Vibration Analysis Of Structures With Uncertainties written by Alexander K. Belyaev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-02 with Technology & Engineering categories.
The Symposium was aimed at the theoretical and numerical problems involved in modelling the dynamic response of structures which have uncertain properties due to variability in the manufacturing and assembly process, with automotive and aerospace structures forming prime examples. It is well known that the difficulty in predicting the response statistics of such structures is immense, due to the complexity of the structure, the large number of variables which might be uncertain, and the inevitable lack of data regarding the statistical distribution of these variables. The Symposium participants presented the latest thinking in this very active research area, and novel techniques were presented covering the full frequency spectrum of low, mid, and high frequency vibration problems. It was demonstrated that for high frequency vibrations the response statistics can saturate and become independent of the detailed distribution of the uncertain system parameters. A number of presentations exploited this physical behaviour by using and extending methods originally developed in both phenomenological thermodynamics and in the fields of quantum mechanics and random matrix theory. For low frequency vibrations a number of presentations focussed on parametric uncertainty modelling (for example, probabilistic models, interval analysis, and fuzzy descriptions) and on methods of propagating this uncertainty through a large dynamic model in an effi cient way. At mid frequencies the problem is mixed, and various hybrid schemes were proposed. It is clear that a comprehensivesolution to the problem of predicting the vibration response of uncertain structures across the whole frequency range requires expertise across a wide range of areas (including probabilistic and non-probabilistic methods, interval and info-gap analysis, statistical energy analysis, statistical thermodynamics, random wave approaches, and large scale computations) and this IUTAM symposium presented a unique opportunity to bring together outstanding international experts in these fields.
Frattura Ed Integrit Strutturale Annals 2014
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Author : Luca Susmel
language : en
Publisher: Gruppo Italiano Frattura
Release Date : 2014-09-12
Frattura Ed Integrit Strutturale Annals 2014 written by Luca Susmel and has been published by Gruppo Italiano Frattura this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-12 with Technology & Engineering categories.
Statistical Methods For Qtl Mapping
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Author : Zehua Chen
language : en
Publisher: CRC Press
Release Date : 2013-11-01
Statistical Methods For Qtl Mapping written by Zehua Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-01 with Mathematics categories.
While numerous advanced statistical approaches have recently been developed for quantitative trait loci (QTL) mapping, the methods are scattered throughout the literature. Statistical Methods for QTL Mapping brings together many recent statistical techniques that address the data complexity of QTL mapping. After introducing basic genetics topics and statistical principles, the author discusses the principles of quantitative genetics, general statistical issues of QTL mapping, commonly used one-dimensional QTL mapping approaches, and multiple interval mapping methods. He then explains how to use a feature selection approach to tackle a QTL mapping problem with dense markers. The book also provides comprehensive coverage of Bayesian models and MCMC algorithms and describes methods for multi-trait QTL mapping and eQTL mapping, including meta-trait methods and multivariate sequential procedures. This book emphasizes the modern statistical methodology for QTL mapping as well as the statistical issues that arise during this process. It gives the necessary biological background for statisticians without training in genetics and, likewise, covers statistical thinking and principles for geneticists. Written primarily for geneticists and statisticians specializing in QTL mapping, the book can also be used as a supplement in graduate courses or for self-study by PhD students working on QTL mapping projects.
Stochastic Finite Element Methods
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Author : Vissarion Papadopoulos
language : en
Publisher: Springer
Release Date : 2017-10-28
Stochastic Finite Element Methods written by Vissarion Papadopoulos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-28 with Science categories.
The book provides a self-contained treatment of stochastic finite element methods. It helps the reader to establish a solid background on stochastic and reliability analysis of structural systems and enables practicing engineers to better manage the concepts of analysis and design in the presence of uncertainty. The book covers the basic topics of computational stochastic mechanics focusing on the stochastic analysis of structural systems in the framework of the finite element method. The target audience primarily comprises students in a postgraduate program specializing in structural engineering but the book may also be beneficial to practicing engineers and research experts alike.
Applications Of Statistics And Probability In Civil Engineering
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Author : Michael Faber
language : en
Publisher: CRC Press
Release Date : 2011-07-15
Applications Of Statistics And Probability In Civil Engineering written by Michael Faber and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Technology & Engineering categories.
Under the pressure of harsh environmental conditions and natural hazards, large parts of the world population are struggling to maintain their livelihoods. Population growth, increasing land utilization and shrinking natural resources have led to an increasing demand of improved efficiency of existing technologies and the development of new ones. A
Computational Structural Dynamics And Earthquake Engineering
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Author : Manolis Papadrakakis
language : en
Publisher: CRC Press
Release Date : 2008-12-04
Computational Structural Dynamics And Earthquake Engineering written by Manolis Papadrakakis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-04 with Technology & Engineering categories.
The increasing necessity to solve complex problems in Structural Dynamics and Earthquake Engineering requires the development of new ideas, innovative methods and numerical tools for providing accurate numerical solutions in affordable computing times. This book presents the latest scientific developments in Computational Dynamics, Stochastic Dynam
Slope Stochastic Dynamics
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Author : Yu Huang
language : en
Publisher: Springer Nature
Release Date : 2022-02-02
Slope Stochastic Dynamics written by Yu Huang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-02 with Science categories.
This book provides a new framework for analysis of slope nonlinear stochastic seismic dynamic response based on the new theoretical tool of stochastic dynamics. The coupling effects of uncertainty of geological parameters, strong dynamic nonlinearity, and randomness of ground motion are considered in the process of the seismic dynamic stability assessment of slope. In this book, an intensity frequency non-stationary stochastic ground motion model based on time-domain stochastic process description is preliminarily established to characterize the randomness of earthquakes. The spatial distribution random field model of geotechnical parameters is established to describe the time-space variability of geotechnical parameters. Based on the basic theory of stochastic dynamics, the seismic stability performance evaluation method of slope is established. The slope seismic dynamic model test based on large complex shaking table is performed to verify and modify the proposed framework and method. This book sheds new light on the development of nonlinear seismic stochastic dynamics and seismic design of slope engineering.
Recent Advances In Structural Engineering
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Author :
language : en
Publisher: Universities Press
Release Date : 2005-02
Recent Advances In Structural Engineering written by and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02 with Structural engineering categories.
This book contains state-of-the-art review articles on specific research areas in the civil engineering discipline-the areas include geotechnical engineering, hydraulics and water resources engineering, and structural engineering. The articles are written by invited authors who are currently active at the international level in their respective research fields.
Iutam Symposium On Nonlinearity And Stochastic Structural Dynamics
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Author : S Gummadi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Iutam Symposium On Nonlinearity And Stochastic Structural Dynamics written by S Gummadi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Nonlinearity and stochastic structural dynamics is of common interest to engineers and applied scientists belonging to many disciplines. Recent research in this area has been concentrated on the response and stability of nonlinear mechanical and structural systems subjected to random escitation. Simultaneously the focus of research has also been directed towards understanding intrinsic nonlinear phenomena like bifurcation and chaos in deterministic systems. These problems demand a high degree of sophistication in the analytical and numerical approaches. At the same time they arise from considerations of nonlinear system response to turbulence, earthquacke, wind, wave and guidancy excitations. The topic thus attracts votaries of both analytical rigour and practical applications. This books gives important and latest developments in the field presenting in a coherent fashion the research findings of leading international groups working in the area of nonlinear random vibration and chaos.