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Optimality Criteria In Structural Design


Optimality Criteria In Structural Design
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Structural Design Via Optimality Criteria


Structural Design Via Optimality Criteria
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Author : George I. N. Rozvany
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Structural Design Via Optimality Criteria written by George I. N. Rozvany and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


"During the last two decades, research on structural optimization became increasingly concerned with two aspects: the application of general numeri cal methods of optimization to structural design of complex real structures, and the analytical derivation of necessary and sufficient conditions for the optimality of broad classes of comparatively simple and more or less ideal ized structures. Both kinds of research are important: the first for obvious reasons; the second, because it furnishes information that is useful in testing the validity, accuracy and convergence of numerical methods and in assess ing the efficiency of practical designs. {raquo} (Prager and Rozvany, 1977a) The unexpected death of William Prager in March 1980 marked, in a sense, the end of an era in structural mechanics, but his legacy of ideas will re main a source of inspiration for generations of researchers to come. Since his nominal retirement in the early seventies, Professor and Mrs. Prager lived in Savognin, an isolated alpine village and ski resort surrounded by some of Switzerland's highest mountains. It was there that the author's close as sociation with Prager developed through annual pilgrimages from Australia and lengthy discussions which pivoted on Prager's favourite topic of struc tural optimization. These exchanges took place in the picturesque setting of Graubunden, on the terrace of an alpine restaurant overlooking snow-capped peaks, on ski-lifts or mountain walks, or during evening meals in the cosy hotels of Savognin, Parsonz and Riom.



Optimality Criterion Methods In Structural Optimization


Optimality Criterion Methods In Structural Optimization
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Author :
language : en
Publisher:
Release Date : 1982

Optimality Criterion Methods In Structural Optimization written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Statistics categories.


Optimization algorithms based on an optimal criterion to design a minimum weight structure are presented. The algorithms are derived for the direct design variable and the reciprocal design variable, and their relationship is discussed. The use of different algorithms and their effect on the convergence behavior is illustrated with sample problems. The presentation is limited to structures which can be analyzed by the finite element method and which are subjected to the constraints on stresses, displacements, minimum and maximum sizes and system stability. (Author).



Optimality Criterion Methods In Structural Optimization


Optimality Criterion Methods In Structural Optimization
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Author : N. S. Khot
language : en
Publisher:
Release Date : 1982

Optimality Criterion Methods In Structural Optimization written by N. S. Khot and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Airplanes categories.


Optimization algorithms based on an optimal criterion to design a minimum weight structure are presented. The algorithms are derived for the direct design variable and the reciprocal design variable, and their relationship is discussed. The use of different algorithms and their effect on the convergence behavior is illustrated with sample problems. The presentation is limited to structures which can be analyzed by the finite element method and which are subjected to the constraints on stresses, displacements, minimum and maximum sizes and system stability. (Author).



Use Of Optimality Criteria Methods For Large Scale Systems


Use Of Optimality Criteria Methods For Large Scale Systems
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Author : L. Berke
language : en
Publisher:
Release Date : 1974

Use Of Optimality Criteria Methods For Large Scale Systems written by L. Berke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Finite element method categories.




Optimality Criteria In Structural Design


Optimality Criteria In Structural Design
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Author : William Prager (|d)
language : en
Publisher:
Release Date : 1971

Optimality Criteria In Structural Design written by William Prager (|d) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Airframes categories.


The report is concerned with the derivation of optimality conditions from extremum principles of structural theory, with special emphasis on conditions for global optimality. After a brief introduction (Sect. 1), optimal design of sandwich structures is discussed for a single behavioral constraint (Sect. 2) or multiple constraints (Sect. 3). Structural elements with solid sections are treated in Sect. 4. A three-dimensional problem that includes many problems of optimal structural design as special cases is investigated in Sect. 5. In Sect. 6, the optimality criteria discussed in the preceeding sections are presented in a unified way that frequently suggests the form of optimality conditions in new situations.



Elements Of Structural Optimization


Elements Of Structural Optimization
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Author : Raphael T. Haftka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Elements Of Structural Optimization written by Raphael T. Haftka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


The field of structural optimization is still a relatively new field undergoing rapid changes in methods and focus. Until recently there was a severe imbalance between the enormous amount of literature on the subject, and the paucity of applications to practical design problems. This imbalance is being gradually redressed. There is still no shortage of new publications, but there are also exciting applications of the methods of structural optimizations in the automotive, aerospace, civil engineering, machine design and other engineering fields. As a result of the growing pace of applications, research into structural optimization methods is increasingly driven by real-life problems. t-.Jost engineers who design structures employ complex general-purpose software packages for structural analysis. Often they do not have any access to the source program, and even more frequently they have only scant knowledge of the details of the structural analysis algorithms used in this software packages. Therefore the major challenge faced by researchers in structural optimization is to develop methods that are suitable for use with such software packages. Another major challenge is the high computational cost associated with the analysis of many complex real-life problems. In many cases the engineer who has the task of designing a structure cannot afford to analyze it more than a handful of times.



Shape And Layout Optimization Of Structural Systems And Optimality Criteria Methods


Shape And Layout Optimization Of Structural Systems And Optimality Criteria Methods
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Author : G.I.N. Rozvany
language : en
Publisher: Springer
Release Date : 2014-05-04

Shape And Layout Optimization Of Structural Systems And Optimality Criteria Methods written by G.I.N. Rozvany and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.


Shape and layout optimization represent some of the most useful but also most difficult classes of problems in structural design, which have been investigated in detail only during the last few years. Shape optimization is concerned with the optimal shape of boundaries of continua or of interfaces between two materials in composites. Layout optimization deals with the simultaneous optimization of the topology, geometry and cross-sectional sizes of structural systems. In spite of its complextiy, layout optimization is a very rewarding task, because it results in much greater savings than the optimization of cross-sectional sizes only. Because of their important role in shape and layout optimization, the book also covers in detail new optimality criteria methods, which are capable of handling many thousand design variables and active design contraints. Shape and layout optimization is becoming an indispensable tool in the design of aeroplanes, space structures, cars, ships, building and civil engineering structures, power stations, chemical plants, artificial organs, sporting equipment, and all other solid systems where stresses and deformations play an important role.



Criteria And Methods Of Structural Optimization


Criteria And Methods Of Structural Optimization
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Author : Andrzej M Brandt
language : en
Publisher: Springer Science & Business Media
Release Date : 1987-06-30

Criteria And Methods Of Structural Optimization written by Andrzej M Brandt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-06-30 with Science categories.


This book is intended to serve all those who are interested in structural opti mization, whether they work in this field or study it for other purposes. Rapid growth of interest in the cognitive aspects of optimization and the increas ing demands that the present day engineer has to meet in modern design have created the need of a monographic treatment of the subject. The vast number and wide range of structural optimization problems formulated and investigated in the last twenty years call for an attempt to sum up the pres ent state of knowledge in this domain and to outline the directions of its further development. The present authors undertook this task, hoping that the result would stimulate further work towards finding new methods and solutions and increasing the range of applications of the optimization methods to structural design. The immediate aim of the book is to present the basic criteria and methods of optimization and to provide a reference guide to the most important publications in the field. 'The book consists of fourteen chapters. Chapter 1 introduces the basic concepts, definitions and assumptions relating to structural optimization. Chapter 2 gives the foundations of optimization for minimum elastic strain potential or maximum rigidity, and sets a basis for optimization of bar, plate and lattice structures. Chapter 3 presents criteria of strength design and their applications to plane structures.



Computer Aided Optimal Design Structural And Mechanical Systems


Computer Aided Optimal Design Structural And Mechanical Systems
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Author : Carlos A. Mota Soares
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Computer Aided Optimal Design Structural And Mechanical Systems written by Carlos A. Mota Soares and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


This book contains the edited version of lectures and selected papers presented at the NATO ADVANCED STUDY INSTITUTE ON COMPUTER AIDED OPTIMAL DESIGN: Structural and Mechanical Systems, held in Tr6ia, Portugal, 29th June to 11th July 1986, and organized by CEMUL -Center of Mechanics and Materials of the Technical University of Lisbon. The Institute was attended by 120 participants from 21 countries, including leading scientists and engineers from universities, research institutions and industry, and Ph.D. students. Some participants presented invited and contributed papers during the Institute and almost all participated actively in discussions on scientific aspects during the Institute. The Advanced Study Institute provided a forum for interaction among eminent scientists and engineers from different schools of thought and young reseachers. The Institute addressed the foundations and current state of the art of essential techniques related to computer aided optimal design of structural and mechanical systems, namely: Vari ational and Finite Element Methods in Optimal Design, Numerical Optimization Techniques, Design Sensitivity Analysis, Shape Optimal Design, Adaptive Finite Element Methods in Shape Optimization, CAD Technology, Software Development Techniques, Integrated Computer Aided Design and Knowledge Based Systems. Special topics of growing importance were also pre sented.



Optimization Methods In Structural Design


Optimization Methods In Structural Design
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Author : Alan Rothwell
language : en
Publisher: Springer
Release Date : 2017-03-27

Optimization Methods In Structural Design written by Alan Rothwell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Technology & Engineering categories.


This book offers an introduction to numerical optimization methods in structural design. Employing a readily accessible and compact format, the book presents an overview of optimization methods, and equips readers to properly set up optimization problems and interpret the results. A ‘how-to-do-it’ approach is followed throughout, with less emphasis at this stage on mathematical derivations. The book features spreadsheet programs provided in Microsoft Excel, which allow readers to experience optimization ‘hands-on.’ Examples covered include truss structures, columns, beams, reinforced shell structures, stiffened panels and composite laminates. For the last three, a review of relevant analysis methods is included. Exercises, with solutions where appropriate, are also included with each chapter. The book offers a valuable resource for engineering students at the upper undergraduate and postgraduate level, as well as others in the industry and elsewhere who are new to these highly practical techniques.While the specific application is to structural design, the principles involved can be applied far more widely.