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Author : Robert H. Mallett
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (713 download)
Download or read book A Mathematical Programming Approach to Nonlinear Structural Analysis written by Robert H. Mallett and published by . This book was released on 1965 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Borkowski
Publisher : Springer Science & Business Media
ISBN 13 : 9780306418624
Total Pages : 422 pages
Book Rating : 4.4/5 (186 download)
Download or read book Structural Optimization, written by A. Borkowski and published by Springer Science & Business Media. This book was released on 1990-01-31 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alfred Auslender
Publisher : North Holland
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.F/5 ( download)
Download or read book Nonlinear Analysis and Optimization written by Alfred Auslender and published by North Holland. This book was released on 1987 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study collects the papers presented at the Nonlinear Analysis and Optimization conference held at the Center for Operations Research and Econometrics (CORE) in Louvain-la-Neuve, Belgium. It was the firm belief of the organizers of the meeting that there is a natural interaction between the methods used in nonlinear analysis and the problems encountered in optimization, and that gathering the papers into one book would be beneficial for both parties concerned. The papers are mainly concerned with the following themes: nonlinear analysis, sensitivity (stability) analysis and algorithms in nonlinear programming (for smooth, nonsmooth and global problems).
Author : William R. Spillers
Publisher : Springer Science & Business Media
ISBN 13 : 0387958657
Total Pages : 304 pages
Book Rating : 4.3/5 (879 download)
Download or read book Structural Optimization written by William R. Spillers and published by Springer Science & Business Media. This book was released on 2009-06-10 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural Optimization is intended to supplement the engineer’s box of analysis and design tools making optimization as commonplace as the finite element method in the engineering workplace. It begins with an introduction to structural optimization and the methods of nonlinear programming such as Lagrange multipliers, Kuhn-Tucker conditions, and calculus of variations. It then discusses solution methods for optimization problems such as the classic method of linear programming which leads to the method of sequential linear programming. It then proposes using sequential linear programming together with the incremental equations of structures as a general method for structural optimization. It is furthermore intended to give the engineer an overview of the field of structural optimization.
Author :
Publisher :
ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.:/5 (319 download)
Download or read book NASA Technical Memorandum written by and published by . This book was released on 1990 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Levy
Publisher : Springer Science & Business Media
ISBN 13 : 9401702438
Total Pages : 277 pages
Book Rating : 4.4/5 (17 download)
Download or read book Analysis of Geometrically Nonlinear Structures written by Robert Levy and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The availability of computers has, in real terms, moved forward the practice of structural engineering. Where it was once enough to have any analysis given a complex configuration, the profession today is much more demanding. How engineers should be more demanding is the subject of this book. In terms of the theory of structures, the importance of geometric nonlinearities is explained by the theorem which states that "In the presence of prestress, geometric nonlinearities are of the same order of magnitude as linear elastic effects in structures. " This theorem implies that in most cases (in all cases of incremental analysis) geometric nonlinearities should be considered. And it is well known that problems of buckling, cable nets, fabric structures, ... REQUIRE the inclusion of geometric nonlinearities. What is offered in the book which follows is a unified approach (for both discrete and continuous systems) to geometric nonlinearities which incidentally does not require a discussion of large strain. What makes this all work is perturbation theory. Let the equations of equilibrium for a system be written as where P represents the applied loads, F represents the member forces or stresses, and N represents the operator which describes system equilibrium.
Author : Ahmed K. Noor
Publisher : Elsevier
ISBN 13 : 1483145646
Total Pages : 472 pages
Book Rating : 4.4/5 (831 download)
Download or read book Computational Methods in Nonlinear Structural and Solid Mechanics written by Ahmed K. Noor and published by Elsevier. This book was released on 2014-05-20 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.
Author : Simeon Reich
Publisher : Springer Science & Business Media
ISBN 13 : 1461495334
Total Pages : 529 pages
Book Rating : 4.4/5 (614 download)
Download or read book Genericity in Nonlinear Analysis written by Simeon Reich and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences. Each chapter is self-contained; proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach space, and the structure of minimal energy configurations with rational numbers in the Aubry–Mather theory.
Author : D. Lloyd Smith
Publisher : Springer
ISBN 13 : 3709126185
Total Pages : 433 pages
Book Rating : 4.7/5 (91 download)
Download or read book Mathematical Programming Methods in Structural Plasticity written by D. Lloyd Smith and published by Springer. This book was released on 2014-05-04 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Civil engineering structures tend to be fabricated from materials that respond elastically at normal levels of loading. Most such materials, however, would exhibit a marked and ductile inelasticity if the structure were overloaded by accident or by some improbable but naturally occuring phenomeon. Indeed, the very presence of such ductility constitutes an important safety provision for large-scale constructions where human life is at risk. In the comprehensive evaluation of safety in structural design, it is therefore unrealistic not to consider the effects of ductility. This book sets out to show that the bringing together of the theory and methods of mathematical programming with the mathematical theory of plasticity furnishes a model which has a unifying theoretical nature and is entirely representative of observed structural behaviour. The contents of the book provide a review of the relevant aspects of mathematical programming and plasticity theory, together with a detailed presentation of the most interesting and potentially useful applications in both framed and continuum structures: ultimate strength and elastoplastic deformability; shakedown and practical upper bounds on deformation measures; evolutive dynamic response; large displacements and instability; stochastic and fuzzy programming for representing uncertainty in ultimate strength calculations. Besides providing a ready fund of computational algorithms, mathematical programming invests applications in mechanics with a refined mathematical formalism, rich in fundamental theorems, which often gives addi- tional insight into known results and occasionally lead to new ones. In addition to its obvious practical utility, the educational value of the material thoroughly befits a university discipline.
Author : Peiming Wu
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.:/5 (89 download)
Download or read book Structural Optimization with Nonlinear and Discrete Programming written by Peiming Wu and published by . This book was released on 1986 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Muthukrishnan Sathyamoorthy
Publisher : CRC Press
ISBN 13 : 1351359827
Total Pages : 640 pages
Book Rating : 4.3/5 (513 download)
Download or read book Nonlinear Analysis of Structures (1997) written by Muthukrishnan Sathyamoorthy and published by CRC Press. This book was released on 2017-11-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.
Author : Raphael T. Haftka
Publisher : Springer Science & Business Media
ISBN 13 : 9401578621
Total Pages : 402 pages
Book Rating : 4.4/5 (15 download)
Download or read book Elements of Structural Optimization written by Raphael T. Haftka and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Xuyang Li
Publisher :
ISBN 13 :
Total Pages : 193 pages
Book Rating : 4.:/5 (544 download)
Download or read book Mathematical Programming Approach to Elasto-plastic Structural Analysis written by Xuyang Li and published by . This book was released on 2001 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H.R. Hörnlein
Publisher : Birkhäuser
ISBN 13 : 3034885539
Total Pages : 287 pages
Book Rating : 4.0/5 (348 download)
Download or read book Software Systems for Structural Optimization written by H.R. Hörnlein and published by Birkhäuser. This book was released on 2013-03-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Herbert Hornlein, Klaus Schittkowski The finite element method (FEM) has been used successfully for many years to simulate and analyse mechanical structural problems. The results are accepted or rejected by means of comparison of state variables (stresses, displacements, natural frequencies etc.) and user requirements. In further analyses the design variables will be updated until the user specifications are met and the design is feasible. This is the primary aim of the design process. On this set of feasible designs, the additional requirement given by an objective function (e.g. weight, stiffness, efficiency, etc.) defines the structural optimization problem. In recent years more and more finite element based analysis systems were ex tended and offer now optimization modules. They proceed from the design model as defined for structural analysis, to perform an internal adaption of design pa rameters based on formal mathematical methods. Despite of many common features, there are significant differences in the selected optimization strategy, the current implementation and the numerical results.
Author : Raphael T. Haftka
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Koiter-type Method for Finite Element Analysis of Nonlinear Structural Behavior written by Raphael T. Haftka and published by . This book was released on 1970 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Koiter's method for the asymptotic analysis of post-buckling behavior is reformulted in finite element notation for application to structures idealized by finite element models. Koiter's method is herein adapted to a general class of structures exhibiting the common snap-through (limit point) type of buckling. This is referred to as the Modified Structure method. It is accomplished by modification of the actual energy functional to create a hypothetical modified structure having a strictly linear pre-buckling path along which buckling must be of the bifurcation type. The analysis of the actual structure is then accomplished by application of Koiter's method through consideration of the actual structure as an imperfect version of the modified structure. The effects of pre-buckling nonlinearity are approximated asymptotically. The use of the Modified Structure method in conjunction with direct methods of nonlinear analysis is examined. A highly accurate finite element representation is employed in presenting a comprehensive numerical evaluation of the Modified Structure method of analysis on the basis of a number of planar frame problems.
Author : Lahbib Chibani
Publisher : Springer Science & Business Media
ISBN 13 : 3642838901
Total Pages : 165 pages
Book Rating : 4.6/5 (428 download)
Download or read book Optimum Design of Structures written by Lahbib Chibani and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the integrated approach of analysis and optimal design of structures. This approach, which is more convenient than the so-called nested approach, has the difficulty of generating a large optimization problem. To overcome this problem a methodology of decomposition by multilevel is developed. This technique, which is also suitable for implementation on parallel processing computers, has the advantage of reducing the size of the optimization problem generated. The geometric programming for both equality and inequality constraints is used in the optimization.
Author : Muthukrishnan Sathyamoorthy
Publisher : CRC Press
ISBN 13 : 9780849396526
Total Pages : 644 pages
Book Rating : 4.3/5 (965 download)
Download or read book Nonlinear Analysis of Structures written by Muthukrishnan Sathyamoorthy and published by CRC Press. This book was released on 1997-10-28 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.
