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Mathematical Models for Structural Reliability Analysis

Author : Fabio Casciati

Publisher : CRC Press

Page : 386 pages

File Size : 10,76 MB

Release : 1996-07-24

Category : Mathematics

ISBN : 9780849396311

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Book Description

Mathematical Models for Structural Reliability Analysis offers mathematical models for describing load and material properties in solving structural engineering problems. Examples are provided, demonstrating how the models are implemented, and the limitations of the models are clearly stated. Analytical solutions are also discussed, and methods are clearly distinguished from models. The authors explain both theoretical models and practical applications in a clear, concise, and readable fashion.



Structural Reliability Analysis and Prediction

Author : Robert E. Melchers

Publisher : John Wiley & Sons

Page : 530 pages

File Size : 46,35 MB

Release : 2018-04-02

Category : Technology & Engineering

ISBN : 1119265991

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Book Description

Structural Reliability Analysis and Prediction, Third Edition is a textbook which addresses the important issue of predicting the safety of structures at the design stage and also the safety of existing, perhaps deteriorating structures. Attention is focused on the development and definition of limit states such as serviceability and ultimate strength, the definition of failure and the various models which might be used to describe strength and loading. This book emphasises concepts and applications, built up from basic principles and avoids undue mathematical rigour. It presents an accessible and unified account of the theory and techniques for the analysis of the reliability of engineering structures using probability theory. This new edition has been updated to cover new developments and applications and a new chapter is included which covers structural optimization in the context of reliability analysis. New examples and end of chapter problems are also now included.





Reliability and Optimization of Structural Systems

Author : P. Thoft-Christensen

Publisher : Springer Science & Business Media

Page : 465 pages

File Size : 13,45 MB

Release : 2012-12-06

Category : Technology & Engineering

ISBN : 3642832792

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Book Description

From the Preface: The Proceedings contain papers presented at the 1st Working Conference on "Reliability and Optimization of Structural Systems", Aalborg, Denmark, May 6-8, 1987. The conference was the first scientific meeting of the new IFIP Working Group 7.5 on "Reliability and Optimization of Structural Systems". The purpose of the Working Group 7.5 is: - to promote modern structural system optimization and reliability theory, - to advance international cooperation in the field of structural system optimization and reliability theory, - to stimulate research, development and application of structural system optimization and reliability theory, - to further the dissemination and exchange of information on reliability and optimization of structural system optimization and reliability theory, - to encourage education in structural system optimization and reliability theory.



Structural Reliability and Time-Dependent Reliability

Author : Cao Wang

Publisher : Springer

Page : 363 pages

File Size : 30,43 MB

Release : 2021-12-17

Category : Technology & Engineering

ISBN : 9783030625078

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Book Description

This book provides structural reliability and design students with fundamental knowledge in structural reliability, as well as an overview of the latest developments in the field of reliability engineering. It addresses the mathematical formulation of analytical tools for structural reliability assessment. This book offers an accessible introduction to structural reliability assessment and a solid foundation for problem-solving. It introduces the topic and background, before dealing with probability models for random variables. It then explores simulation techniques for single random variables, random vectors consisting of different variables, and stochastic processes. The book addresses analytical approaches for structural reliability assessment, including the reliability models for a single structure and those for multiple structures, as well as discussing the approaches for structural time-dependent reliability assessment in the presence of discrete and continuous load processes. This book delivers a timely and pedagogical textbook, including over 170 worked-through examples, detailed solutions, and analytical tools, making it of interest to a wide range of graduate students, researchers, and practitioners in the field of reliability engineering.



Structural Reliability

Author : Jorge Eduardo Hurtado

Publisher : Springer Science & Business Media

Page : 267 pages

File Size : 38,20 MB

Release : 2013-11-11

Category : Technology & Engineering

ISBN : 3540409874

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Book Description

The last decades have witnessed the development of methods for solving struc tural reliability problems, which emerged from the efforts of numerous re searchers all over the world. For the specific and most common problem of determining the probability of failure of a structural system in which the limit state function g( x) = 0 is only implicitly known, the proposed methods can be grouped into two main categories: • Methods based on the Taylor expansion of the performance function g(x) about the most likely failure point (the design point), which is determined in the solution process. These methods are known as FORM and SORM (First- and Second Order Reliability Methods, respectively). • Monte Carlo methods, which require repeated calls of the numerical (nor mally finite element) solver of the structural model using a random real ization of the basic variable set x each time. In the first category of methods only SORM can be considered of a wide applicability. However, it requires the knowledge of the first and second deriva tives of the performance function, whose calculation in several dimensions either implies a high computational effort when faced with finite difference techniques or special programs when using perturbation techniques, which nevertheless require the use of large matrices in their computations. In or der to simplify this task, use has been proposed of techniques that can be regarded as variants of the Response Surface Method.







Concurrent Probabilistic Simulation of High Temperature Composite Structural Response

Author : National Aeronautics and Space Adm Nasa

Publisher : Independently Published

Page : 158 pages

File Size : 42,9 MB

Release : 2018-11-18

Category : Science

ISBN : 9781731350701

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Book Description

A computational structural/material analysis and design tool which would meet industry's future demand for expedience and reduced cost is presented. This unique software 'GENOA' is dedicated to parallel and high speed analysis to perform probabilistic evaluation of high temperature composite response of aerospace systems. The development is based on detailed integration and modification of diverse fields of specialized analysis techniques and mathematical models to combine their latest innovative capabilities into a commercially viable software package. The technique is specifically designed to exploit the availability of processors to perform computationally intense probabilistic analysis assessing uncertainties in structural reliability analysis and composite micromechanics. The primary objectives which were achieved in performing the development were: (1) Utilization of the power of parallel processing and static/dynamic load balancing optimization to make the complex simulation of structure, material and processing of high temperature composite affordable; (2) Computational integration and synchronization of probabilistic mathematics, structural/material mechanics and parallel computing; (3) Implementation of an innovative multi-level domain decomposition technique to identify the inherent parallelism, and increasing convergence rates through high- and low-level processor assignment; (4) Creating the framework for Portable Paralleled architecture for the machine independent Multi Instruction Multi Data, (MIMD), Single Instruction Multi Data (SIMD), hybrid and distributed workstation type of computers; and (5) Market evaluation. The results of Phase-2 effort provides a good basis for continuation and warrants Phase-3 government, and industry partnership. Abdi, Frank Glenn Research Center COMPOSITE MATERIALS; APPLICATIONS PROGRAMS (COMPUTERS); STRUCTURAL ANALYSIS; PARALLEL PROCESSING (COMPUTERS); STRUCTURAL RELIABILITY; PROBABILITY THEORY; RELIABILITY ANALYSIS; MA...



Structural Reliability Theory and Its Applications

Author : P. Thoft-Cristensen

Publisher : Springer Science & Business Media

Page : 267 pages

File Size : 26,81 MB

Release : 2012-12-06

Category : Technology & Engineering

ISBN : 3642686974

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Book Description

Structural reliability theory is concerned with the rational treatment of uncertainties in struc tural engineering and with the methods for assessing the safety and serviceability of civil en gineering and other structures. It is a subject which has grown rapidly during the last decade and has evolved from being a topic for academic research to a set of well-developed or develop ing methodologies with a wide range of practical applications. Uncertainties exist in most areas of civil and structural engineeri'1.g and rational design decisions cannot be made without modelling them and taking them into account. Many structural en gineers are shielded from having to think about such problems, at least when designing simple structures, because of the prescriptive and essentially deterministic nature of most codes of practice. This is an undesirable situation. Most loads and other structural design parameters are rarely known with certainty and should be regarded as random variables or stochastic processes, even if in design calculations they are eventually treated as deterministic. Some problems such as the analysis of load combinations cannot even be formulated without recourse to probabilistic reasoning.