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Author : John D. Sørensen
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (474 download)
Download or read book Sensitivity analysis in reliability-based shape optimization written by John D. Sørensen and published by . This book was released on 1989 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Sokolowski
Publisher : Springer Science & Business Media
ISBN 13 : 3642581064
Total Pages : 254 pages
Book Rating : 4.6/5 (425 download)
Download or read book Introduction to Shape Optimization written by Jan Sokolowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and in the optimal control of distributed parameter systems. Many such problems can be formulated as the minimization of functionals defined over a class of admissible domains. Shape optimization is quite indispensable in the design and construction of industrial structures. For example, aircraft and spacecraft have to satisfy, at the same time, very strict criteria on mechanical performance while weighing as little as possible. The shape optimization problem for such a structure consists in finding a geometry of the structure which minimizes a given functional (e. g. such as the weight of the structure) and yet simultaneously satisfies specific constraints (like thickness, strain energy, or displacement bounds). The geometry of the structure can be considered as a given domain in the three-dimensional Euclidean space. The domain is an open, bounded set whose topology is given, e. g. it may be simply or doubly connected. The boundary is smooth or piecewise smooth, so boundary value problems that are defined in the domain and associated with the classical partial differential equations of mathematical physics are well posed. In general the cost functional takes the form of an integral over the domain or its boundary where the integrand depends smoothly on the solution of a boundary value problem.
Author : Emmanuel Laporte
Publisher : Springer Science & Business Media
ISBN 13 : 1461200695
Total Pages : 202 pages
Book Rating : 4.4/5 (612 download)
Download or read book Numerical Methods in Sensitivity Analysis and Shape Optimization written by Emmanuel Laporte and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers. Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.
Author : Kyung K. Choi
Publisher : Springer Science & Business Media
ISBN 13 : 0387271694
Total Pages : 457 pages
Book Rating : 4.3/5 (872 download)
Download or read book Structural Sensitivity Analysis and Optimization 1 written by Kyung K. Choi and published by Springer Science & Business Media. This book was released on 2006-12-30 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.
Author : K. K. Choi
Publisher : Springer Science & Business Media
ISBN 13 : 0387273069
Total Pages : 336 pages
Book Rating : 4.3/5 (872 download)
Download or read book Structural Sensitivity Analysis and Optimization 2 written by K. K. Choi and published by Springer Science & Business Media. This book was released on 2006-12-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.
Author : Zhiye Zhao
Publisher : Springer
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (91 download)
Download or read book Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method written by Zhiye Zhao and published by Springer. This book was released on 1991 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the various aspects of shape optimization of two dimensional continuum structures, including shape design sensitivity analysis, structural analysis using the boundary element method (BEM), and shape optimization implementation. The book begins by reviewing the developments of shape optimization, followed by the presentation of the mathematical programming methods for solving optimization problems. The basic theory of the BEM is presented which will be employed later on as the numerical tool to provide the structural responses and the shape design sensitivities. The key issue of shape optimization, the shape design sensitivity analy sis, is fully investigated. A general formulation of stress sensitivity using the continuum approach is presented. The difficulty of the modelling of the ad joint problem is studied, and two approaches are presented for the modelling of the adjoint problem. The first approach uses distributed loads to smooth the concentrated adjoint loads, and the second approach employs the singu larity subtraction method to remove the singular boundary displacements and tractions from the BEM equation. A novel finite difference based approach to shape design sensitivity is pre sented, which overcomes the two drawbacks of the conventional finite difference method. This approach has the advantage of being simple in concept, and eas ier implementation. A shape optimization program for two-dimensional continuum structures is developed, including structural analysis using the BEM, shape design sensitiv ity analysis, mathematical programming, and the design boundary modelling.
Author : A. Der Kiureghian
Publisher : Springer Science & Business Media
ISBN 13 : 364284362X
Total Pages : 399 pages
Book Rating : 4.6/5 (428 download)
Download or read book Reliability and Optimization of Structural Systems ’90 written by A. Der Kiureghian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains papers presented at the Third Scientific Meeting of the IFIP Working Group on "Reliabilty and Optimization of Structural Systems". The contributions reflect recent developments in the field of modern structural systems optimization and reliability theory and point out directions for further research. Also perspectives for the education in this field were discussed.
Author : Johann Sienz
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (52 download)
Download or read book Sensitivity Analysis for Shape Optimization written by Johann Sienz and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abdelkhalak El Hami
Publisher : John Wiley & Sons
ISBN 13 : 1118711831
Total Pages : 149 pages
Book Rating : 4.1/5 (187 download)
Download or read book Uncertainty and Optimization in Structural Mechanics written by Abdelkhalak El Hami and published by John Wiley & Sons. This book was released on 2013-04-08 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is generally a reduction operation of a definite quantity. This process naturally takes place in our environment and through our activities. For example, many natural systems evolve, in order to minimize their potential energy. Modeling these phenomena then largely relies on our capacity to artificially reproduce these processes. In parallel, optimization problems have quickly emerged from human activities, notably from economic concerns. This book includes the most recent ideas coming from research and industry in the field of optimization, reliability and the recognition of accompanying uncertainties. It is made up of eight chapters which look at the reviewing of uncertainty tools, system reliability, optimal design of structures and their optimization (of sizing, form, topology and multi-objectives) – along with their robustness and issues on optimal safety factors. Optimization reliability coupling will also be tackled in order to take into account the uncertainties in the modeling and resolution of the problems encountered. The book is aimed at students, lecturers, engineers, PhD students and researchers. Contents 1. Uncertainty. 2. Reliability in Mechanical Systems. 3. Optimal Structural Design. 4. Multi-object Optimization with Uncertainty. 5. Robust Optimization. 6. Reliability Optimization. 7. Optimal Security Factors Approach. 8. Reliability-based Topology Optimization. About the Authors Abdelkhalak El Hami is Professor at the Institut National des Sciences Appliquées, Rouen, France. He is the author of many articles and books on optimization and uncertainty. Bouchaib Radi is Professor in the Faculty of Sciences and Technology at the University of Hassan Premier, Settat, Morocco. His research interests are in such areas as structural optimization, parallel computation, contact problem and metal forming. He is the author of many scientific articles and books.
Author : K. K. Choi
Publisher : Springer
ISBN 13 : 9780387233369
Total Pages : 326 pages
Book Rating : 4.2/5 (333 download)
Download or read book Structural Sensitivity Analysis and Optimization 2 written by K. K. Choi and published by Springer. This book was released on 2004-12-08 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.
Author : Electra Stavropoulou
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (95 download)
Download or read book Sensitivity Analysis and Regularization for Shape Optimization of Coupled Problems written by Electra Stavropoulou and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Haslinger
Publisher : SIAM
ISBN 13 : 9780898718690
Total Pages : 291 pages
Book Rating : 4.7/5 (186 download)
Download or read book Introduction to Shape Optimization written by J. Haslinger and published by SIAM. This book was released on 2003-01-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The efficiency and reliability of manufactured products depend on, among other things, geometrical aspects; it is therefore not surprising that optimal shape design problems have attracted the interest of applied mathematicians and engineers. This self-contained, elementary introduction to the mathematical and computational aspects of sizing and shape optimization enables readers to gain a firm understanding of the theoretical and practical aspects so they may confidently enter this field. Introduction to Shape Optimization: Theory, Approximation, and Computation treats sizing and shape optimization comprehensively, covering everything from mathematical theory (existence analysis, discretizations, and convergence analysis for discretized problems) through computational aspects (sensitivity analysis, numerical minimization methods) to industrial applications. Applications include contact stress minimization for elasto-plastic bodies, multidisciplinary optimization of an airfoil, and shape optimization of a dividing tube. By presenting sizing and shape optimization in an abstract way, the authors are able to use a unified approach in the mathematical analysis for a large class of optimization problems in various fields of physics. Audience: the book is written primarily for students of applied mathematics, scientific computing, and mechanics. Most of the material is directed toward graduate students, although a portion of it is suitable for senior undergraduate students. Readers are assumed to have some knowledge of partial differential equations and their numerical solution, as well as modern programming language such as C++ Fortran 90.
Author : Rüdiger Rackwitz
Publisher : Springer Science & Business Media
ISBN 13 : 3642847536
Total Pages : 486 pages
Book Rating : 4.6/5 (428 download)
Download or read book Reliability and Optimization of Structural Systems ’91 written by Rüdiger Rackwitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains 38 papers presented at the 4th Working Conference on "Rel iability· and Optimization of Structural Systems", held at the Technical University of Munich, Germany, September 11- 13, 1991. The Working Conference was organised by the IFIP (Interna tional Federation for Information Processing) Working Group 7.5 of Technical Committee 7 and was the fourth in a series, following similar conferences held at the University of Aalborg, Den mark, May 1987, at the Imperial College, London, UK, September 1988 and at the University of California, Berkeley, California, USA, March 1990. The Working Conference was attended by 54 participants from 16 countries. The objectives of Working Group 7.5 are: • to promote modern structural systems 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 reli ability theory, • to further the dissemination and exchange of information on reliability and optimization of structural systems • to encourage education in structural system optimization and reliability theory. At present the members of the Working Group are: A. H.-S. Ang, U.S.A. M. Grimmelt, FRG G. A ugwti, Italy N. C. Lind, Canada M. J. Baker, UK H. O. Mad&en, Denmark P. Bjerager, Norway R. E. Melcher~, Australia C. A. Cornell, U.S.A. F. Mo~e~, U.S.A.
Author : K. K. Choi
Publisher : Springer
ISBN 13 : 9780387503028
Total Pages : 0 pages
Book Rating : 4.5/5 (3 download)
Download or read book Structural Sensitivity Analysis and Optimization 2 written by K. K. Choi and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.
Author : Tahoura Tabatabaie Soltani
Publisher :
ISBN 13 : 9780494272664
Total Pages : 152 pages
Book Rating : 4.2/5 (726 download)
Download or read book Sensitivity Analysis Using Fixed Basis Function Finite Element Method in Shape Optimization written by Tahoura Tabatabaie Soltani and published by . This book was released on 2007 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sensitivity of the objective functional, required in gradient-based optimization algorithms, is often hard to find explicitly. One method to determine the sensitivities called "Fixed Basis Function" Finite Element analysis assumes that during sensitivity analysis the finite element nodes will not change or move with the varying domain. Instead, they are accommodated by the boundary conditions on the adjacent nodes; therefore it evaluates the stationary derivatives of the objective function. In this work computer implementation of Fixed Basis Function plus Material Derivative approach, Complex Step and Finite Difference method is presented in one and two dimensions for a comparison study. The Fixed Basis Method produces very accurate results compared to the exact stationary derivative for the beam and converges for the plate problem. It is also very cost effective. Except for the fixed basis method, all other methods include the effect of domain change in the sensitivity and therefore produce convective derivatives.
Author : Kyung K. Choi
Publisher : Springer
ISBN 13 : 9780387232324
Total Pages : 448 pages
Book Rating : 4.2/5 (323 download)
Download or read book Structural Sensitivity Analysis and Optimization 1 written by Kyung K. Choi and published by Springer. This book was released on 2004-12-08 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method allows integration of CAD-FEA-DSA software tools, so that design optimization can be carried out using CAD geometric models instead of FEA models. This capability allows integration of CAD-CAE-CAM so that optimized designs can be manufactured effectively.
Author : Gene J.-W. Hou
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (499 download)
Download or read book A Most Probable Point-based Method for Reliability Analysis, Sensitivity Analysis and Design Optimization written by Gene J.-W. Hou and published by . This book was released on 2004 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
