# Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method

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 ...

Author: Zhiye Zhao

Publisher: Springer Science & Business Media

ISBN: 9783642843822

Category: Technology & Engineering

Page: 192

View: 951

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.
Categories: Technology & Engineering

# Boundary Element Advances in Solid Mechanics

Sensitivity analysis for internal crack or void shape perturbation using boundary integral equations and adjoint variable approach. In Proc. 2nd World Congress Structural and Multidisciplinary Optimization, Zakopane, Poland, 187-192.

Author: Dimitri Beskos

Publisher: Springer

ISBN: 9783709127902

Category: Technology & Engineering

Page: 307

View: 500

This volume presents and discusses recent advances in boundary element methods and their solid mechanics applications. It illustrates these methods in their latest forms, developed during the last five to ten years, and demonstrates their advantages in solving a wide range of solid mechanics problems.
Categories: Technology & Engineering

# Boundary Integral Methods

Burczynski, T. : The Boundary Element Method for Selected Analysis and Optimization Problems of Deformable Bodies. s. ... Burczynski, T. and Fedelinski, T. : Boundary elements in shape design sensitivity analysis and optimal design of ...

Author: Luigi Morino

Publisher: Springer Science & Business Media

ISBN: 9783642854637

Category: Science

Page: 521

View: 99

This volume contains edited papers from IABEM-90, the 1990 Symposium of the Interna tional Association for Boundary Element Methods (IABEM). As stated in the By-Laws of the Association, the purposes of IABEM are: 1. to promote the international exchange of technical information related to the devel opment and application of boundary-integral equation (BIE) formulations and their numerical implementation to problems in engineering and science, commonly referred to as the boundary element method (BEM); 2. to promote research and development activities for the advancement of boundary integral equation methods and boundary element solution algorithms; 3. to foster closer personal relationships within the BEM community of researchers. The objectives of the Symposium, in line with those of the Association, was to provide a forum where the two "souls" of the Association, i. e. , (i) mathematical foundations and numerical aspects, and (ii) engineering applications could be integrated. We believe that the first aspect has been neglected in too many of the BEM Symposia held in the past, which, with a few exceptions (notably, the IUTAM Symposia on the subject) have emphasized the practical aspects of the method. As a consequence, we have tried to give a stronger emphasis to the more theoretical issues: this is attested for instance, by the fact that the two general lectures were given by Prof. Gaetano Fichera, of the University of Rome "La Sapienza," and Prof.
Categories: Science

# Structural Sensitivity Analysis and Optimization 1

The first is using a finite element method that provides accurate results on the boundary. ... An important advantage of the boundary element method in shape design sensitivity analysis is that it represents boundary conditions better ...

Author: Kyung K. Choi

Publisher: Springer Science & Business Media

ISBN: 9780387271699

Category: Science

Page: 448

View: 702

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.
Categories: Science

# Mathematical Aspects of Boundary Element Methods

[ 9 ] Burczynski , T. , Fedelinski , P .: Boundary elements in shape design sensitivity analysis and optimal ... [ 10 ] Choi , J. O. , Kwak , B. M .: Boundary Integral Equation Method for Shape Optimization of Elastic Structures .

Author: Marc Bonnet

Publisher: CRC Press

ISBN: 1584880066

Category: Mathematics

Page: 312

View: 236

Boundary element methods relate to a wide range of engineering applications, including fluid flow, fracture analysis, geomechanics, elasticity, and heat transfer. Thus, new results in the field hold great importance not only to researchers in mathematics, but to applied mathematicians, physicists, and engineers. A two-day minisymposium Mathematical Aspects of Boundary Element Methods at the IABEM conference in May 1998 brought together top rate researchers from around the world, including Vladimir Maz’ya, to whom the conference was dedicated. Focusing on the mathematical and numerical analysis of boundary integral operators, this volume presents 25 papers contributed to the symposium. Mathematical Aspects of Boundary Element Methods provides up-to-date research results from the point of view of both mathematics and engineering. The authors detail new results, such as on nonsmooth boundaries, and new methods, including domain decomposition and parallelization, preconditioned iterative techniques, multipole expansions, higher order boundary elements, and approximate approximations. Together they illustrate the connections between the modeling of applied problems, the derivation and analysis of corresponding boundary integral equations, and their efficient numerical solutions.
Categories: Mathematics

# IUTAM Symposium on Evolutionary Methods in Mechanics

References [1] Burczynski T., Applications of BEM in sensitivity analysis and optimization Computational Mechanics, 13, ... [6] T. Burczynski, J.H. Kane, and C. Balakrishna, Comparison of shape design sensitivity analysis via material ...

Publisher: Springer Science & Business Media

ISBN: 9781402022678

Category: Science

Page: 366

View: 416

Proceedings of the IUTAM Symposium held in Cracow, Poland, 24-27 September 2002
Categories: Science

# Optimization Techniques And Applications International Conference In 2 Volumes

[7] C. A. Mota Soares, K. K. Choi, 'Boundary Elements in Shape Optimal Design of Structures', The Optimum Shape: Automated ... [8] B. M. Kwak, J. H. Choi, 'Shape Design Sensitivity Analysis Using Boundary Integral Equation for Potential ...

Author: Chou F S

Publisher: World Scientific

ISBN: 9789814554565

Category:

Page: 1260

View: 964

Categories:

# Boundary Element Methods

Burczyński T.: Stochastic boundary element method for wave propagation through continuous random media. In: BETECH'86-MIT (Eds. ... T.: Boundary element method for deterministic and stochastic shape design sensitivity analysis.

Author: S. Kobayashi

Publisher: Springer Science & Business Media

ISBN: 9783662061534

Category: Technology & Engineering

Page: 412

View: 697

The Boundary Element Methods (BEM) has become one of the most efficient tools for solving various kinds of problems in engineering science. The International Association for Boundary Element Methods (IABEM) was established in order to promote and facilitate the exchange of scientific ideas related to the theory and applications of boundary element methods. The aim of this symposium is to provide a forum for researchers in boundary element methods and boundary-integral formulations in general to present contemporary concepts and techniques leading to the advancement of capabilities and understanding of this com putational methodology. The topics covered in this symposium include mathematical and computational aspects, applications to solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, inverse problems and other interdisciplinary problems. Papers deal ing with the coupling of the boundary element method with other computational methods are also included. The editors hope that this volume presents some innovative techniques and useful knowl edge for the development of the boundary element methods. February, 1992 S. Kobayashi N. Nishimura Contents Abe, K.
Categories: Technology & Engineering

# IUTAM IACM IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method

Coupling of the boundary element method and the evolutionary methods appear to be very convenient and useful in such problems. ... References [1] T. Burczyński, Applications of BEM in sensitivity analysis and optimization Computational ...

Publisher: Springer Science & Business Media

ISBN: 9789401597937

Category: Technology & Engineering

Page: 428

View: 113

During the last two decades the boundary element method has experienced a remarkable evolution. Contemporary concepts and techniques leading to the advancements of capabilities and understanding of the mathematical and computational aspects of the method in mechanics are presented. The special emphasis on theoretical and numerical issues, as well as new formulations and approaches for special and important fields of solid and fluid mechanics are considered. Several important and new mathematical aspects are presented: singularity and hypersingular formulations, regularity, errors and error estimators, adaptive methods, Galerkin formulations, coupling of BEM-FEM and non-deterministic (stochastic and fuzzy) BEM formulations. Novel developments and applications of the boundary element method in various fields of mechanics of solids and fluids are considered: heat conduction, diffusion and radiation, non-linear problems, dynamics and time-depending problems, fracture mechanics, thermoelasticity and poroelasticity, aerodynamics and acoustics, contact problems, biomechanics, optimization and sensitivity analysis problems, ill posed and inverse problems, and identification problems.
Categories: Technology & Engineering

# Boundary Elements and other Mesh Reduction Methods XLII

In this work, we introduce the IGA BEM to 2D acoustic shape optimization. The key treatment is the acoustic sensitivity analysis using the adjoint variable method (AVM). Compared with the direct differentiation method (DDM), ...

Author: Cheng, A. H-D

Publisher: WIT Press

ISBN: 9781784663414

Category: Mathematics

Page: 312

View: 850

Originating from the 42nd conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), the research presented in this book consist of high quality papers that report on advances in techniques that reduce or eliminate the type of meshes associated with such methods as finite elements or finite differences.
Categories: Mathematics