Download or read book Probabilistic Theory of Structures Using Finite Elements written by Robert Thomas Langland and published by . This book was released on 1971 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Variational Approach to Probabilistic Finite Elements written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-23 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic finite element methods (PFEM), synthesizing the power of finite element methods with second-moment techniques, are formulated for various classes of problems in structural and solid mechanics. Time-invariant random materials, geometric properties and loads are incorporated in terms of their fundamental statistics viz. second-moments. Analogous to the discretization of the displacement field in finite element methods, the random fields are also discretized. Preserving the conceptual simplicity, the response moments are calculated with minimal computations. By incorporating certain computational techniques, these methods are shown to be capable of handling large systems with many sources of uncertainties. By construction, these methods are applicable when the scale of randomness is not very large and when the probabilistic density functions have decaying tails. The accuracy and efficiency of these methods, along with their limitations, are demonstrated by various applications. Results obtained are compared with those of Monte Carlo simulation and it is shown that good accuracy can be obtained for both linear and nonlinear problems. The methods are amenable to implementation in deterministic FEM based computer codes. Belytschko, T. and Liu, W. K. and Mani, A. and Besterfield, G. Unspecified Center DYNAMIC STRUCTURAL ANALYSIS; ELASTOPLASTICITY; FINITE ELEMENT METHOD; SOLID MECHANICS; VARIATIONAL PRINCIPLES; DISPLACEMENT; LOADS (FORCES); MONTE CARLO METHOD; NONLINEARITY; PROBABILITY THEORY...

Download or read book Probabilistic Evaluation of Structures Using Finite Element Method written by Xiu-li Guan and published by . This book was released on 1992 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis the probabilistic evaluation of structures is divided in two parts: (i) the calculation of the response statistics and (ii) the determination of structural reliability.

Download or read book Probabilistic Structural Mechanics Handbook written by C.R. Sundararajan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need for a comprehensive book on probabilistic structural mechanics that brings together the many analytical and computational methods developed over the years and their applications in a wide spectrum of industries-from residential buildings to nuclear power plants, from bridges to pressure vessels, from steel structures to ceramic structures-became evident from the many discussions the editor had with practising engineers, researchers and professors. Because no single individual has the expertise to write a book with such a di.verse scope, a group of 39 authors from universities, research laboratories, and industries from six countries in three continents was invited to write 30 chapters covering the various aspects of probabilistic structural mechanics. The editor and the authors believe that this handbook will serve as a reference text to practicing engineers, teachers, students and researchers. It may also be used as a textbook for graduate-level courses in probabilistic structural mechanics. The editor wishes to thank the chapter authors for their contributions. This handbook would not have been a reality without their collaboration.

Download or read book Stochastic probabilistic Finite Element Methods for Structural Analysis written by Zhengzheng Fu and published by . This book was released on 1992 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Probabilistic Methods for Structural Design written by Carlos Guedes Soares and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions from various authors on different important topics related with probabilistic methods used for the design of structures. Initially several of the papers were prepared for advanced courses on structural reliability or on probabilistic methods for structural design. These courses have been held in different countries and have been given by different groups of lecturers. They were aimed at engineers and researchers who already had some exposure to structural reliability methods and thus they presented overviews of the work in the various topics. The book includes a selection of those contributions, which can be of support for future courses or for engineers and researchers that want to have an update on specific topics. It is considered a complement to the existing textbooks on structural reliability, which normally ensure the coverage of the basic topics but then are not extensive enough to cover some more specialised aspects. In addition to the contributions drawn from those lectures there are several papers that have been prepared specifically for this book, aiming at complementing the others in providing an overall account of the recent advances in the field. It is with sadness that in the meanwhile we have seen the disappearance of two of the contributors to the book and, in fact two of the early contributors to this field.

Download or read book Probabilistic Finite Element Model Updating Using Bayesian Statistics written by Tshilidzi Marwala and published by John Wiley & Sons. This book was released on 2016-09-23 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic Finite Element Model Updating Using Bayesian Statistics: Applications to Aeronautical and Mechanical Engineering Tshilidzi Marwala and Ilyes Boulkaibet, University of Johannesburg, South Africa Sondipon Adhikari, Swansea University, UK Covers the probabilistic finite element model based on Bayesian statistics with applications to aeronautical and mechanical engineering Finite element models are used widely to model the dynamic behaviour of many systems including in electrical, aerospace and mechanical engineering. The book covers probabilistic finite element model updating, achieved using Bayesian statistics. The Bayesian framework is employed to estimate the probabilistic finite element models which take into account of the uncertainties in the measurements and the modelling procedure. The Bayesian formulation achieves this by formulating the finite element model as the posterior distribution of the model given the measured data within the context of computational statistics and applies these in aeronautical and mechanical engineering. Probabilistic Finite Element Model Updating Using Bayesian Statistics contains simple explanations of computational statistical techniques such as Metropolis-Hastings Algorithm, Slice sampling, Markov Chain Monte Carlo method, hybrid Monte Carlo as well as Shadow Hybrid Monte Carlo and their relevance in engineering. Key features: Contains several contributions in the area of model updating using Bayesian techniques which are useful for graduate students. Explains in detail the use of Bayesian techniques to quantify uncertainties in mechanical structures as well as the use of Markov Chain Monte Carlo techniques to evaluate the Bayesian formulations. The book is essential reading for researchers, practitioners and students in mechanical and aerospace engineering.

Download or read book Probabilistic Methods in the Theory of Structures written by Isaac Elishakoff and published by John Wiley & Sons. This book was released on 1983 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well-written introduction covers probability theory from two or more random variables, reliability of such multivariable structures, theory of random function, Monte Carlo methods for problems incapable of exact solution, more.

Download or read book Probabilistic Finite Element Method PFEM for Concrete Structures written by Jan G. Teigen and published by . This book was released on 1990 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Probabilistic Finite Element Analysis written by and published by . This book was released on 1992 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method has been used extensively in structural analyses. Traditionally, the properties of the systems which have been modeled using finite elements have been assumed to be deterministic. The uncertainties in the structural response behavior estimates which result from uncertainties in the properties of the system have been accounted for in design using safety and reduction factors. As structures become more complex and industry makes use of materials such as composites, which are known to have random material properties, an alternative approach to design which quantifies the distributions in response may be required. Probabilistic finite element techniques, which are capable of assessing the distributions in response behavior for systems with random material properties, loads and boundary conditions are presented in this thesis. One particular method termed second-moment analysis is examined in detail. This method includes perturbation techniques and is used to compute the expected values and covariance matrices of probabilistic response behavior. Second-moment analyses in conjunction with the finite element method require as input the expected values of the random processes inherent to the system and their covariance matrices. Methods are also presented to compute these parameters for local element averages of the random processes which describe the uncertainty in the system. Implements probabilistic finite element techniques as developed in the study to predict the probabilistic response behavior of marine riser systems in which, certain aspects of the problem are considered probabilistic.

Download or read book FINITE ELEMENT METHOD AND COMPUTATIONAL STRUCTURAL DYNAMICS written by MANISH SHRIKHANDE and published by PHI Learning Pvt. Ltd.. This book was released on 2014-06-06 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily intended for senior undergraduate and postgraduate students of civil, mechanical and aerospace/aeronautical engineering, this text emphasises the importance of reliability in engineering computations and understanding the process of computer aided engineering. Written with a view to promote the correct use of finite element technology and to present a detailed study of a set of essential computational tools for the practice of structural dynamics, this book is a ready-reckoner for an in-depth discussion of finite element theory and estimation and control of errors in computations. It is specifically aimed at the audience with interest in vibrations and stress analysis. Several worked out examples and exercise problems have been included to describe the various aspects of finite element theory and modelling. The exercise on error analysis will be extremely helpful in grasping the essence of posteriori error analysis and mesh refinement. KEY FEATURES • Thorough discussion of numerical algorithms for reliable and efficient computation. • Ready-to-use finite element system and other scientific applications. • Tips for improving the quality of finite element solutions. • Companion DVD containing ready to use finite element applications. AUDIENCE: Senior Undergraduate and Postgraduate students of Civil, Mechanical and Aerospace/Aeronautical engineering

Download or read book NASA Technical Memorandum written by and published by . This book was released on 1994 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Probabilities and Materials written by D. Breysse and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most industrial and natural materials exhibit a macroscopic behaviour which results from the existence of microscale inhomogeneities. The influence of such inhomogeneities is commonly modelled using probabilistic methods. Most of the approaches to the evaluation of the safety of structures according to probabilistic criteria are somewhat scattered, however, and it is time to present such material in a coherent and up-to-date form. Probabilities and Materials undertakes this task, and also defines the great tasks that must be tackled in coming years. For engineers and researchers dealing with materials, geotechnics, solid mechanics, soil mechanics, statistics and stochastic processes. The expository nature of the book means that no prior knowledge of statistics or probability is required of the reader. The book can thus serve as an excellent introduction to the nature of applied statistics and stochastic modelling.

Download or read book Probabilistic Finite Element Analysis of Structures Using the Multiplicative Dimensional Reduction Method written by Georgios Balomenos and published by . This book was released on 2015 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is widely accepted that uncertainty may be present for many engineering problems, such as in input variables (loading, material properties, etc.), in response variables (displacements, stresses, etc.) and in the relationships between them. Reliability analysis is capable of dealing with all these uncertainties providing the engineers with accurate predictions of the probability of a structure performing adequately during its lifetime. In probabilistic finite element analysis (FEA), approximate methods such as Taylor series methods are used in order to compute the mean and the variance of the response, while the distribution of the response is usually approximated based on the Monte Carlo simulation (MCS) method. This study advances probabilistic FEA by combining it with the multiplicative form of dimensional reduction method (M-DRM). This combination allows fairly accurate estimations of both the statistical moments and the probability distribution of the response of interest. The response probability distribution is obtained using the fractional moments, which are calculated from M-DRM, together with the maximum entropy (MaxEnt) principle. In addition, the global variance-based sensitivity coefficients are also obtained as a by-product of the previous analysis. Therefore, no extra analytical work is required for sensitivity analysis. The proposed approach is integrated with the OpenSees FEA software using Tcl programing and with the ABAQUS FEA software using Python programing. OpenSees is used to analyze structures under seismic loading, where both pushover analysis and dynamic analysis is performed. ABAQUS is used to analyze structures under static loading, where the concrete damage plasticity model is used for the modeling of concrete. Thus, the efficient applicability of the proposed method is illustrated and its numerical accuracy is examined, through several examples of nonlinear FEA of structures. This research shows that the proposed method, which is based on a small number of finite element analyses, is robust, computational effective and easily applicable, providing a feasible alternative for finite element reliability and sensitivity analysis of practical and real life problems. The results of such work have significance in future studies for the estimation of the probability of the response exceeding a safety limit and for establishing safety factors related to acceptable probabilities of structural failures.

Download or read book Structural Dynamics and Probabilistic Analysis for Engineers written by Giora Maymon and published by Elsevier. This book was released on 2008-07-01 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic structural dynamics offers unparalleled tools for analyzing uncertainties in structural design. Once avoided because it is mathematically rigorous, this technique has recently remerged with the aide of computer software. Written by an author/educator with 40 years of experience in structural design, this user friendly manual integrates theories, formulas and mathematical models to produce a guide that will allow professionals to quickly grasp concepts and start solving problems. In this book, the author uses simple examples that provide templates for creating of more robust case studies later in the book. *Problems are presented in an easy to understand form *Practical guide to software programs to solve design problems *Packed with examples and case studies of actual projects *Classical and the new stochastic factors of safety

Download or read book Probabilistic Methods in the Theory of Structures written by Isaac Elishakoff and published by World Scientific Publishing Company. This book was released on 2017-01-03 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book appeared over three decades ago (Wiley-Interscience, 1983), whereas the second one saw light on the verge of new millennium (Dover, 1999). This is third, corrected and expanded edition that appears in conjunction with its companion volume Probabilistic Methods in the Theory of Structures: Complete Worked-Through Solutions. Thus, the reader is able to both get acquainted with the theoretical material and be able to master some of the problems, following Chinese dictum: I hear and I forget. I see and I remember. I do and I understand -- Confucius. The main idea of the book lies in the fact that three topics: probabilistic strength of materials, random vibrations, and probabilistic buckling are presented in a single package allowing one to see the forest in between the trees. Indeed, these three topics usually are presented in separate manners, in different specialized books. Here, the reader gets a feeling of true unity of the subject at large in order to appreciate that in the end what one wants is reliability of the structure, in conjunction with its operating conditions. As the author describes in the Preface of the second edition, this book was not conceived ab initio, as a book that author strived to compose. Rather, it was forced, as it were, upon me due to two reasons. One was rather a surprising but understandable requirement in the venerable Delft University of Technology, The Netherlands to prepare the lecture notes for students with the view of reducing skyrocketing costs of acquisition of textbooks by the students. The other one was an unusually warm acceptance of the notes that the author prepared while at Delft University of Technology and later in Haifa, at the Technion-Israel Institute of Technology by the legendary engineering scientist Warner Tjardus Koiter (1914-1997). The energy necessary to prepare the second and third editions came from enthusiastic reviews that appeared in various sources. Author embraced the simplicity of exposition as the main virtue following Isaac Newton's view that "Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things."

Download or read book Stochastic Finite Elements A Spectral Approach written by Roger G. Ghanem and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.