Download or read book Shape Design Sensitivity Analysis and Optimization of Elastic Solids Using P version Finite Element Method written by Hsiu-Ying Hwang and published by . This book was released on 1995 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Shape design sensitivity analysis and optimization of elastic solids written by K. K. Choi and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Shape Design Sensitivity and Optimization Using the P version Finite Element Method written by Yaw-Kang Shyy and published by . This book was released on 1989 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Shape Design Sensitivity Analysis and Optimization of Three Dimensional Elastic Solids Using Geometric Modeling and Automated Regridding written by and published by . This book was released on 1989 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Shape Design Sensitivity Analysis and Optimization of Three Dimensional Elastic Solids Using Geometric Modeling and Automatic Regridding written by Tse-Min Yao and published by . This book was released on 1986 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Methods in Sensitivity Analysis and Shape Optimization written by Emmanuel Laporte and published by Birkhauser. This book was released on 2003 with total page 224 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.
Download or read book Parameter Sensitivity in Nonlinear Mechanics written by Michael Kleiber and published by . This book was released on 1997-05-12 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are various methods for the analysis and design of bodies subject to static and dynamic loadings in structural and solid mechanics. Sensitivity analysis is concerned with the relationship between parameters, describing the structure under consideration and the function describing the response of that structure under loading conditions. This book addresses the finite element computational techniques typical of sensitivity analysis for solid mechanics systems with any nonlinearity. It is an attempt to combine theoretical modelling techniques with effective computer implementation: besides the theory many suitable finite element codes have been developed by the authors and used for computing examples discussed in the text.
Download or read book Design Sensitivity Analysis written by Lisa G. Stanley and published by SIAM. This book was released on 2002-01-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an understandable introduction to one approach to design sensitivity computation and illustrates some of the important mathematical and computational issues inherent in using the sensitivity equation method (SEM) for partial differential equations. The authors use basic models to illustrate the computational issues that one might encounter when applying the SEM in a laboratory or research setting, while providing an overview of applications and computational issues regarding sensitivity calculations performed by way of continuous sensitivity equation methods (CSEM).
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.
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.
Download or read book Shape design sensitivity analysis and what if workstation for elastic solids written by Kyung K. Choi and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Optimum Shape written by James Bennett and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers presented at the International Symposium, "The Optimum Shape: Automated Structural Design," held at the General Motors Research Laboratories on September 3D-October 1, 1985. This was the 30th symposium in a series which the Research Laboratories began sponsoring in 1957. Each symposium has focused on a topic that is both under active study at the Research Laboratories and is also of interest to the larger technical community. While attempts to produce a structure which performs a certain task with the minimum amount of resources probably predates recorded civilization, the idea of coupling formal optimization techniques with computer-based structural analysis techniques was first proposed in the early 1960s. Although it was recognized at this time that the most fundamental description of the problem would be in terms of the shape or contours of the structure, much of the early work described the problem in terms of structural sizing parameters instead of geometrical descriptions. Within the past few years, several research groups have started to explore this more fundamental area of shape design. Initial research has raised many new questions about appropriate selection of design variables, methods of calculating derivatives, and generation of the underlying analysis problem.
Download or read book Sensitivity Analysis and Optimization in Nonlinear Solid Mechanics written by Liang-Jenq Leu and published by . This book was released on 1994 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Design with Advanced Materials written by P. Pedersen and published by Elsevier. This book was released on 2012-12-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal design with advanced materials is becoming a very progressive and challenging domain within applied mechanics. The increasing use of advanced materials, such as anisotropic fiber composites and ceramics, is instigating new developments to be made within constitutive modelling and the computational methods of analysis, sensitivity analysis and optimization. A new dimension of optimal design is being realised by the direct tailoring and building of new materials. Research in this area is accelerating rapidly with the results already being applied to high technology industries. Two vital high technology research areas covered in this volume include homogenization and smart materials/structures. The 31 papers will prove an indispensable reference source for all those involved in the interdisciplinary research and development aspects of mechanics, materials and mathematics in the design of advanced materials.
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.
Download or read book Control of Distributed Parameter Systems 1989 written by M. Amouroux and published by Elsevier. This book was released on 2014-06-28 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.
