Stochastic Finite Elements A Spectral Approach

Author : Roger G. Ghanem,Pol D. Spanos
Publisher : Springer Science & Business Media
Page : 217 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461230946

Get Book

Stochastic Finite Elements: A Spectral Approach by Roger G. Ghanem,Pol D. Spanos Pdf

This monograph considers engineering systems with random parame ters. Its context, format, and timing are correlated with the intention of accelerating the evolution of the challenging field of Stochastic Finite Elements. The random system parameters are modeled as second order stochastic processes defined by their mean and covari ance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used' to represent these processes in terms of a countable set of un correlated random vari ables. Thus, the problem is cast in a finite dimensional setting. Then, various spectral approximations for the stochastic response of the system are obtained based on different criteria. Implementing the concept of Generalized Inverse as defined by the Neumann Ex pansion, leads to an explicit expression for the response process as a multivariate polynomial functional of a set of un correlated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral repre sentation in terms of the Polynomial Chaoses is identified. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials.

Author : Roger Ghanem,Pol D. Spanos
Publisher : Springer Verlag
Page : 214 pages
File Size : 47,7 Mb
Release : 1991
Category : Technology & Engineering
ISBN : 0387974563

Get Book

Stochastic Finite Elements by Roger Ghanem,Pol D. Spanos Pdf

A comprehensive treatment of the theories and concepts behind analyzing a class of discrete mathematical models of engineering systems whose properties and excitations can be represented as random processes. The spectral approach extends the deterministic finite element method to the space of random functions. Addressed to students and researchers in mechanical and other branches of engineering. Annotation copyrighted by Book News, Inc., Portland, OR

Author : Vissarion Papadopoulos,Dimitris G. Giovanis
Publisher : Springer
Page : 138 pages
File Size : 54,6 Mb
Release : 2017-10-28
Category : Science
ISBN : 9783319645285

Get Book

Stochastic Finite Element Methods by Vissarion Papadopoulos,Dimitris G. Giovanis Pdf

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.

Author : Olivier Le Maitre,Omar M Knio
Publisher : Springer Science & Business Media
Page : 536 pages
File Size : 55,5 Mb
Release : 2010-03-11
Category : Science
ISBN : 9789048135202

Get Book

Spectral Methods for Uncertainty Quantification by Olivier Le Maitre,Omar M Knio Pdf

This book deals with the application of spectral methods to problems of uncertainty propagation and quanti?cation in model-based computations. It speci?cally focuses on computational and algorithmic features of these methods which are most useful in dealing with models based on partial differential equations, with special att- tion to models arising in simulations of ?uid ?ows. Implementations are illustrated through applications to elementary problems, as well as more elaborate examples selected from the authors’ interests in incompressible vortex-dominated ?ows and compressible ?ows at low Mach numbers. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematical foundation associated with probability and measure spaces. Despite the authors’ fascination with this foundation, the discussion only - ludes to those theoretical aspects needed to set the stage for subsequent applications. The book is authored by practitioners, and is primarily intended for researchers or graduate students in computational mathematics, physics, or ?uid dynamics. The book assumes familiarity with elementary methods for the numerical solution of time-dependent, partial differential equations; prior experience with spectral me- ods is naturally helpful though not essential. Full appreciation of elaborate examples in computational ?uid dynamics (CFD) would require familiarity with key, and in some cases delicate, features of the associated numerical methods. Besides these shortcomings, our aim is to treat algorithmic and computational aspects of spectral stochastic methods with details suf?cient to address and reconstruct all but those highly elaborate examples.

Author : Adnan Ibrahimbegović,Boštjan Brank
Publisher : IOS Press
Page : 428 pages
File Size : 42,7 Mb
Release : 2005
Category : Structural analysis (Engineering)
ISBN : 1586034790

Get Book

Engineering Structures Under Extreme Conditions by Adnan Ibrahimbegović,Boštjan Brank Pdf

Author : K.J Bathe
Publisher : Elsevier
Page : 2524 pages
File Size : 51,6 Mb
Release : 2003-06-02
Category : Science
ISBN : 008052947X

Get Book

Computational Fluid and Solid Mechanics 2003 by K.J Bathe Pdf

Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design. The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features Bridges the gap between academic researchers and practitioners in industry Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis

Author : Isaac Elishakoff,Yongjian Ren
Publisher : Oxford University Press, USA
Page : 282 pages
File Size : 47,5 Mb
Release : 2003
Category : Language Arts & Disciplines
ISBN : 0198526318

Get Book

Finite Element Methods for Structures with Large Stochastic Variations by Isaac Elishakoff,Yongjian Ren Pdf

The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.

Author : Michael Kleiber,Tran Duong Hien
Publisher : Wiley
Page : 336 pages
File Size : 40,8 Mb
Release : 1993-02-02
Category : Technology & Engineering
ISBN : 047193626X

Get Book

The Stochastic Finite Element Method by Michael Kleiber,Tran Duong Hien Pdf

Combines two crucial techniques created to deal with complex problems of modern engineering--the finite element method and stochastic analysis. By utilizing the computationally effective finite element approach, it offers a means to obtain extremely useful insight into the way in which ever-existing structural uncertainties propagate. Includes the latest research on the topic of stochastic finite elements. Computer programs, available on request, demonstrate the theory.

Author : Achintya Haldar,Sankaran Mahadevan
Publisher : John Wiley & Sons
Page : 356 pages
File Size : 40,9 Mb
Release : 2000-05-22
Category : Technology & Engineering
ISBN : 0471369616

Get Book

Reliability Assessment Using Stochastic Finite Element Analysis by Achintya Haldar,Sankaran Mahadevan Pdf

The first complete guide to using the Stochastic Finite Element Method for reliability assessment Unlike other analytical reliability estimation techniques, the Stochastic Finite Element Method (SFEM) can be used for both implicit and explicit performance functions, making it a particularly powerful and robust tool for today's engineer. This book, written by two pioneers in SFEM-based methodologies, shows how to use SFEM for the reliability analysis of a wide range of structures. It begins by reviewing essential risk concepts, currently available risk evaluation procedures, and the use of analytical and sampling methods in estimating risk. Next, it introduces SFEM evaluation procedures, with detailed coverage of displacement-based and stress-based deterministic finite element approaches. Linear, nonlinear, static, and dynamic problems are considered separately to demonstrate the robustness of the methods. The risk or reliability estimation procedure for each case is presented in different chapters, with theory complemented by a useful series of examples. Integrating advanced concepts in risk-based design, finite elements, and mechanics, Reliability Assessment Using Stochastic Finite Element Analysis is vital reading for engineering professionals and students in all areas of the field.

Author : Manolis Papadrakakis,George Stefanou,Vissarion Papadopoulos
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 50,5 Mb
Release : 2012-10-03
Category : Technology & Engineering
ISBN : 9789400751347

Get Book

Computational Methods in Stochastic Dynamics by Manolis Papadrakakis,George Stefanou,Vissarion Papadopoulos Pdf

The considerable influence of inherent uncertainties on structural behavior has led the engineering community to recognize the importance of a stochastic approach to structural problems. Issues related to uncertainty quantification and its influence on the reliability of the computational models are continuously gaining in significance. In particular, the problems of dynamic response analysis and reliability assessment of structures with uncertain system and excitation parameters have been the subject of continuous research over the last two decades as a result of the increasing availability of powerful computing resources and technology. This book is a follow up of a previous book with the same subject (ISBN 978-90-481-9986-0) and focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The selected chapters are authored by some of the most active scholars in their respective areas and represent some of the most recent developments in this field. The book consists of 21 chapters which can be grouped into several thematic topics including dynamic analysis of stochastic systems, reliability-based design, structural control and health monitoring, model updating, system identification, wave propagation in random media, seismic fragility analysis and damage assessment. This edited book is primarily intended for researchers and post-graduate students who are familiar with the fundamentals and wish to study or to advance the state of the art on a particular topic in the field of computational stochastic structural dynamics. Nevertheless, practicing engineers could benefit as well from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures.

Author : Alexander K. Belyaev,Robin S. Langley
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 49,5 Mb
Release : 2010-12-02
Category : Technology & Engineering
ISBN : 9789400702899

Get Book

IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties by Alexander K. Belyaev,Robin S. Langley Pdf

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 comprehensive solution 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.

Author : Subrata Chakraborty,Gautam Bhattacharya
Publisher : Springer Science & Business Media
Page : 1349 pages
File Size : 53,9 Mb
Release : 2013-03-12
Category : Technology & Engineering
ISBN : 9788132207573

Get Book

Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012) by Subrata Chakraborty,Gautam Bhattacharya Pdf

International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012) is organized by Bengal Engineering and Science University, India during the first week of January 2012 at Kolkata. The primary aim of ISEUSAM 2012 is to provide a platform to facilitate the discussion for a better understanding and management of uncertainty and risk, encompassing various aspects of safety and reliability of engineering systems. The conference received an overwhelming response from national as well as international scholars, experts and delegates from different parts of the world. Papers received from authors of several countries including Australia, Canada, China, Germany, Italy, UAE, UK and USA, besides India. More than two hundred authors have shown their interest in the symposium. The Proceedings presents ninety two high quality papers which address issues of uncertainty encompassing various fields of engineering, i.e. uncertainty analysis and modelling, structural reliability, geotechnical engineering, vibration control, earthquake engineering, environmental engineering, stochastic dynamics, transportation system, system identification and damage assessment, and infrastructure engineering.

Author : Jorgen Amdahl,C. Guedes Soares
Publisher : CRC Press
Page : 586 pages
File Size : 44,8 Mb
Release : 2021-12-17
Category : Technology & Engineering
ISBN : 9781000533804

Get Book

Developments in the Analysis and Design of Marine Structures by Jorgen Amdahl,C. Guedes Soares Pdf

Developments in the Analysis and Design of Marine Structures is a collection of papers presented at MARSTRUCT 2021, the 8th International Conference on Marine Structures (by remote transmission, 7-9 June 2021, organised by the Department of Marine Technology of the Norwegian University of Science and Technology, Trondheim, Norway), and is essential reading for academics, engineers and professionals involved in the design of marine and offshore structures. The MARSTRUCT Conference series deals with Ship and Offshore Structures, addressing topics in the fields of: - Methods and Tools for Loads and Load Effects; - Methods and Tools for Strength Assessment; - Experimental Analysis of Structures; - Materials and Fabrication of Structures; - Methods and Tools for Structural Design and Optimisation; and - Structural Reliability, Safety and Environmental Protection. The MARSTRUCT conferences series of started in Glasgow, UK in 2007, the second event of the series took place in Lisbon, Portugal in March 2009, the third in Hamburg, Germany in March 2011, the fourth in Espoo, Finland in March 2013, the fifth in Southampton, UK in March 2015, the sixth in Lisbon, Portugal in May 2017, and the seventh in Drubovnik, Croatia in May 2019. The ‘Proceedings in Marine Technology and Ocean Engineering’ series is dedicated to the publication of proceedings of peer-reviewed international conferences dealing with various aspects of ‘Marine Technology and Ocean Engineering’. The Series includes the proceedings of the following conferences: the International Maritime Association of the Mediterranean (IMAM) conferences, the Marine Structures (MARSTRUCT) conferences, the Renewable Energies Offshore (RENEW) conferences and the Maritime Technology (MARTECH) conferences. The ‘Marine Technology and Ocean Engineering’ series is also open to new conferences that cover topics on the sustainable exploration and exploitation of marine resources in various fields, such as maritime transport and ports, usage of the ocean including coastal areas, nautical activities, the exploration and exploitation of mineral resources, the protection of the marine environment and its resources, and risk analysis, safety and reliability. The aim of the series is to stimulate advanced education and training through the wide dissemination of the results of scientific research.

Author : Martina Pospiech
Publisher : Logos Verlag Berlin GmbH
Page : 142 pages
File Size : 44,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9783832531393

Get Book

Numerical Simulations in Room Acoustics Using Direct Coupling Techniques and Finite Elements by Martina Pospiech Pdf

This thesis presents a coupling approach for time-harmonic problems in linear room acoustics. Therein the closed acoustic system is subdivided into air, sound source and different boundary components. The sound field of each air component is approximated with the help of modal basis functions and continuous transitions between single components are enabled by enforcing coupling conditions. Coupling to realistic boundary conditions is realized by wavenumber- and frequency-dependent impedance functions for plate-like sound absorbers. Afterwards the solution is computed by minimizing the energy based on Hamilton's Principle. For computing the basis functions and the energies of the components the Spectral Finite Element Method and the adapted Patch Recovery Method are applied. Finally numerical benchmark-simulations show the applications of this coupling approach.

Author : Marc Maes,Luc Huyse
Publisher : CRC Press
Page : 404 pages
File Size : 51,8 Mb
Release : 2020-11-17
Category : Technology & Engineering
ISBN : 9781000151312

Get Book

Reliability and Optimization of Structural Systems by Marc Maes,Luc Huyse Pdf

This volume is an outcome of the 11th IFIP WG7.5 working conference on Reliability and Optimization of Structural Systems in Canada. The conference focuses on structural reliability methods and applications and engineering risk analysis and decision-making.