Optimal Structural Analysis

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Optimal Structural Analysis

Author : Ali Kaveh
Publisher : John Wiley & Sons
Page : 532 pages
File Size : 43,7 Mb
Release : 2014-09-02
Category : Mathematics
ISBN : 9780470033296

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Optimal Structural Analysis by Ali Kaveh Pdf

This second edition of the highly acclaimed and successful first edition, deals primarily with the analysis of structural engineering systems, with applicable methods to other types of structures. The concepts presented in the book are not only relevant to skeletal structures but can equally be used for the analysis of other systems such as hydraulic and electrical networks. The book has been substantially revised to include recent developments and applications of the algebraic graph theory and matroids.

Optimal Analysis of Structures by Concepts of Symmetry and Regularity

Author : Ali Kaveh
Publisher : Springer Science & Business Media
Page : 473 pages
File Size : 42,8 Mb
Release : 2013-05-16
Category : Science
ISBN : 9783709115657

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Optimal Analysis of Structures by Concepts of Symmetry and Regularity by Ali Kaveh Pdf

Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.

Problems and Methods of Optimal Structural Design

Author : Nikolai Vladimirovich Banichuk
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 41,6 Mb
Release : 2013-03-13
Category : Computers
ISBN : 9781461336761

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Problems and Methods of Optimal Structural Design by Nikolai Vladimirovich Banichuk Pdf

The author offers a systematic and careful development of many aspects of structural optimization, particularly for beams and plates. Some of the results are new and some have appeared only in specialized Soviet journals, or as pro ceedings of conferences, and are not easily accessible to Western engineers and mathematicians. Some aspects of the theory presented here, such as optimiza tion of anisotropic properties of elastic structural elements, have not been con sidered to any extent by Western research engineers. The author's treatment is "classical", i.e., employing classical analysis. Classical calculus of variations, the complex variables approach, and the Kolosov Muskhelishvili theory are the basic techniques used. He derives many results that are of interest to practical structural engineers, such as optimum designs of structural elements submerged in a flowing fluid (which is of obvious interest in aircraft design, in ship building, in designing turbines, etc.). Optimization with incomplete information concerning the loads (which is the case in a great majority of practical design considerations) is treated thoroughly. For example, one can only estimate the weight of the traffic on a bridge, the wind load, the additional loads if a river floods, or possible earthquake loads.

Computational Structural Analysis and Finite Element Methods

Author : A. Kaveh
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 40,7 Mb
Release : 2013-12-11
Category : Science
ISBN : 9783319029641

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Computational Structural Analysis and Finite Element Methods by A. Kaveh Pdf

Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics. Efficient methods are presented that lead to highly sparse and banded structural matrices. The main features of the book include: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering and decomposition (sparse matrix technology); efficient use of symmetry and regularity in the force method; and simultaneous analysis and design of structures.

Recent Advances in Optimal Structural Design

Author : Scott A. Burns
Publisher : ASCE Publications
Page : 396 pages
File Size : 47,6 Mb
Release : 2002-01-01
Category : Technology & Engineering
ISBN : 0784475245

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Recent Advances in Optimal Structural Design by Scott A. Burns Pdf

Sponsored by the Technical Committee on Structural Design of the Technical Administrative Committee on Analysis and Computation of the Technical Activities Division of the Structural Engineering Institute of ASCE. This report documents the dramatic new developments in the field of structural optimization over the last two decades. Changes in both computational techniques and applications can be seen by developments in computational methods and solution algorithms, the role of optimization during the various stages of structural design, and the stochastic nature of design in relation to structural optimization. Topics include: Ømethods for discrete variable structural optimization; Ødecomposition methods in structural optimization; Østate of the art on the use of genetic algorithms in design of steel structures; Øconceptual design optimization of engineering structures; Øtopology and geometry optimization of trusses and frames; Øevolutionary structural optimization; Ødesign and optimization of semi-rigid framed structures; Øoptimized performance-based design for buildings; Ømulti-objective optimum design of seismic-resistant structures; and Øreliability- and cost-oriented optimal bridge maintenance planning. The book concludes with an extensive bibliography of journal papers on structural optimization published between 1987 and 1999.

Advanced Methods of Structural Analysis

Author : Igor A. Karnovsky,Olga Lebed
Publisher : Springer Nature
Page : 824 pages
File Size : 55,5 Mb
Release : 2021-03-16
Category : Technology & Engineering
ISBN : 9783030443948

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Advanced Methods of Structural Analysis by Igor A. Karnovsky,Olga Lebed Pdf

This revised and significantly expanded edition contains a rigorous examination of key concepts, new chapters and discussions within existing chapters, and added reference materials in the appendix, while retaining its classroom-tested approach to helping readers navigate through the deep ideas, vast collection of the fundamental methods of structural analysis. The authors show how to undertake the numerous analytical methods used in structural analysis by focusing on the principal concepts, detailed procedures and results, as well as taking into account the advantages and disadvantages of each method and sphere of their effective application. The end result is a guide to mastering the many intricacies of the range of methods of structural analysis. The book differentiates itself by focusing on extended analysis of beams, plane and spatial trusses, frames, arches, cables and combined structures; extensive application of influence lines for analysis of structures; simple and effective procedures for computation of deflections; introduction to plastic analysis, stability, and free and forced vibration analysis, as well as some special topics. Ten years ago, Professor Igor A. Karnovsky and Olga Lebed crafted a must-read book. Now fully updated, expanded, and titled Advanced Methods of Structural Analysis (Strength, Stability, Vibration), the book is ideal for instructors, civil and structural engineers, as well as researches and graduate and post graduate students with an interest in perfecting structural analysis.

Optimal Structural Design

Author : Ronald A. Gellatly,Laszlo Berke
Publisher : Unknown
Page : 84 pages
File Size : 54,7 Mb
Release : 1971
Category : Numerical analysis
ISBN : UOM:39015095328665

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Optimal Structural Design by Ronald A. Gellatly,Laszlo Berke Pdf

The report considers the state of the art in methods of structural optimization. Mathematical programming based methods, while extremely successful with problems of moderate size tend to become prohibitively costly when applied to large scale structures. A novel approach to the weight optimization of indeterminate structures under multiple loading conditions with strength and displacement constraints has been developed and is presented herein. Using this method significant improvements in computational time have been achieved over direct numerical search methods. In some cases the numbers of iterations required to determine the least weight have been reduced by factors of over 20. The rate of convergence is independent of problem size permitting application to large scale structures. Examples of application of the new approach to a number of problems are included.

Singularities in Optimal Structural Design

Author : Surya N. Patnaik
Publisher : Unknown
Page : 16 pages
File Size : 49,7 Mb
Release : 1992
Category : Singularities (Mathematics)
ISBN : UIUC:30112105097338

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Singularities in Optimal Structural Design by Surya N. Patnaik Pdf

Elements of Structural Optimization

Author : Raphael T. Haftka,Zafer Gürdal,M.P. Kamat
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 52,5 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9789401578622

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Elements of Structural Optimization by Raphael T. Haftka,Zafer Gürdal,M.P. Kamat Pdf

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 now. 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. Most engineers who design structures employ complex general-purpose software packages for structural analysis. Often they do not have any access to the source the details of program, and even more frequently they have only scant knowledge 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.

Optimal Analysis of Structures by Concepts of Symmetry and Regularity

Author : A. Kaveh
Publisher : Springer
Page : 463 pages
File Size : 50,7 Mb
Release : 2013-05-18
Category : Science
ISBN : 3709115663

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Optimal Analysis of Structures by Concepts of Symmetry and Regularity by A. Kaveh Pdf

Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.

Introduction to Structural Analysis & Design

Author : S. D. Rajan
Publisher : John Wiley & Sons
Page : 722 pages
File Size : 50,7 Mb
Release : 2000-10-27
Category : Technology & Engineering
ISBN : 9780471319979

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Introduction to Structural Analysis & Design by S. D. Rajan Pdf

This book is an introductory text on structural analysis and structural design. While the emphasis is on fundamental concepts, the ideas are reinforced through a combination of limited versatile classical techniques and numerical methods. Structural analysis and structural design including optimal design are strongly linked through design examples.

Structural Design Optimization Considering Uncertainties

Author : Yannis Tsompanakis,Nikos D. Lagaros,Manolis Papadrakakis
Publisher : Taylor & Francis
Page : 669 pages
File Size : 54,6 Mb
Release : 2008-02-07
Category : Technology & Engineering
ISBN : 9781134055067

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Structural Design Optimization Considering Uncertainties by Yannis Tsompanakis,Nikos D. Lagaros,Manolis Papadrakakis Pdf

Uncertainties play a dominant role in the design and optimization of structures and infrastructures. In optimum design of structural systems due to variations of the material, manufacturing variations, variations of the external loads and modelling uncertainty, the parameters of a structure, a structural system and its environment are not given, fixed coefficients, but random variables with a certain probability distribution. The increasing necessity to solve complex problems in Structural Optimization, Structural Reliability and Probabilistic Mechanics, requires the development of new ideas, innovative methods and numerical tools for providing accurate numerical solutions in affordable computing times. This book presents the latest findings on structural optimization considering uncertainties. It contains selected contributions dealing with the use of probabilistic methods for the optimal design of different types of structures and various considerations of uncertainties. The first part is focused on reliability-based design optimization and the second part on robust design optimization. Comprising twenty-one, self-contained chapters by prominent authors in the field, it forms a complete collection of state-of-the-art theoretical advances and applications in the fields of structural optimization, structural reliability, and probabilistic computational mechanics. It is recommended to researchers, engineers, and students in civil, mechanical, naval and aerospace engineering and to professionals working on complicated costs-effective design problems.

Examples in Structural Analysis, Second Edition

Author : William M.C. McKenzie
Publisher : CRC Press
Page : 837 pages
File Size : 48,5 Mb
Release : 2013-12-20
Category : Technology & Engineering
ISBN : 9781466595262

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Examples in Structural Analysis, Second Edition by William M.C. McKenzie Pdf

This second edition of Examples in Structural Analysis uses a step-by-step approach and provides an extensive collection of fully worked and graded examples for a wide variety of structural analysis problems. It presents detailed information on the methods of solutions to problems and the results obtained. Also given within the text is a summary of each of the principal analysis techniques inherent in the design process and where appropriate, an explanation of the mathematical models used. The text emphasises that software should only be used if designers have the appropriate knowledge and understanding of the mathematical modelling, assumptions and limitations inherent in the programs they use. It establishes the use of hand-methods for obtaining approximate solutions during preliminary design and an independent check on the answers obtained from computer analyses. What’s New in the Second Edition: New chapters cover the development and use of influence lines for determinate and indeterminate beams, as well as the use of approximate analyses for indeterminate pin-jointed and rigid-jointed plane-frames. This edition includes a rewrite of the chapter on buckling instability, expands on beams and on the use of the unit load method applied to singly redundant frames. The x-y-z co-ordinate system and symbols have been modified to reflect the conventions adopted in the structural Eurocodes. William M. C. McKenzie is also the author of six design textbooks relating to the British Standards and the Eurocodes for structural design and one structural analysis textbook. As a member of the Institute of Physics, he is both a chartered engineer and a chartered physicist and has been involved in consultancy, research and teaching for more than 35 years.

Guide to Structural Optimization

Author : Jasbir S. Arora
Publisher : Amer Society of Civil Engineers
Page : 347 pages
File Size : 43,6 Mb
Release : 1997
Category : Technology & Engineering
ISBN : 0784402205

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Guide to Structural Optimization by Jasbir S. Arora Pdf

Optimization methods are perceived to be at the heart of computer methods for designing engineering systems. With these optimization methods, the designer can evaluate more alternatives, resulting in a better and more cost-effective design. This guide describes the use of modern optimization methods with simple yet meaningful structural design examples. Optimum solutions are obtained and, where possible, compared with the solutions obtained using traditional design procedures.

Dynamic Analysis of Structures

Author : John T. Katsikadelis
Publisher : Academic Press
Page : 808 pages
File Size : 47,8 Mb
Release : 2020-06-27
Category : Technology & Engineering
ISBN : 9780128186442

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Dynamic Analysis of Structures by John T. Katsikadelis Pdf

Dynamic Analysis of Structures reflects the latest application of structural dynamics theory to produce more optimal and economical structural designs. Written by an author with over 37 years of researching, teaching and writing experience, this reference introduces complex structural dynamics concepts in a user-friendly manner. The author includes carefully worked-out examples which are solved utilizing more recent numerical methods. These examples pave the way to more accurately simulate the behavior of various types of structures. The essential topics covered include principles of structural dynamics applied to particles, rigid and deformable bodies, thus enabling the formulation of equations for the motion of any structure. Covers the tools and techniques needed to build realistic modeling of actual structures under dynamic loads Provides the methods to formulate the equations of motion of any structure, no matter how complex it is, once the dynamic model has been adopted Provides carefully worked-out examples that are solved using recent numerical methods Includes simple computer algorithms for the numerical solution of the equations of motion and respective code in FORTRAN and MATLAB