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Author : U. Leipholz
Publisher : Springer
ISBN 13 : 9028601066
Total Pages : 246 pages
Book Rating : 4.0/5 (286 download)
Download or read book Direct Variational Methods and Eigenvalue Problems in Engineering written by U. Leipholz and published by Springer. This book was released on 1976-12-31 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : U. Leipholz
Publisher : Springer
ISBN 13 : 9789048184668
Total Pages : 246 pages
Book Rating : 4.1/5 (846 download)
Download or read book Direct Variational Methods and Eigenvalue Problems in Engineering written by U. Leipholz and published by Springer. This book was released on 2010-12-25 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. F. Weinberger
Publisher : SIAM
ISBN 13 : 9781611970531
Total Pages : 165 pages
Book Rating : 4.9/5 (75 download)
Download or read book Variational Methods for Eigenvalue Approximation written by H. F. Weinberger and published by SIAM. This book was released on 1974-01-01 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.
Author : S. H. Gould
Publisher : University of Toronto Press
ISBN 13 : 1487597711
Total Pages : 292 pages
Book Rating : 4.4/5 (875 download)
Download or read book Variational Methods for Eigenvalue Problems written by S. H. Gould and published by University of Toronto Press. This book was released on 1966-12-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book gave a systematic exposition of the Weinstein method of calculating lower bounds of eigenvalues by means of intermediate problems. From the reviews of this edition and from subsequent shorter expositions it has become clear that the method is of considerable interest to the mathematical world; this interest has increased greatly in recent years by the success of some mathematicians in simplifying and extending the numerical applications, particularly in quantum mechanics. Until now new developments have been available only in articles scattered throughout the literature: this second edition presents them systematically in the framework of the material contained in the first edition, which is retained in somewhat modified form.
Author : S. H. Gould
Publisher : Courier Corporation
ISBN 13 : 0486165809
Total Pages : 210 pages
Book Rating : 4.4/5 (861 download)
Download or read book Variational Methods for Eigenvalue Problems written by S. H. Gould and published by Courier Corporation. This book was released on 2012-05-24 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Purely mathematical treatment offers simple exposition of general theory of variational methods with special reference to the vibrating plate. No math beyond basic calculus. Includes exercises. 1957 edition.
Author : J. N. Reddy
Publisher : John Wiley & Sons
ISBN 13 : 1119087392
Total Pages : 1069 pages
Book Rating : 4.1/5 (19 download)
Download or read book Energy Principles and Variational Methods in Applied Mechanics written by J. N. Reddy and published by John Wiley & Sons. This book was released on 2017-07-21 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.
Author : Sydney Henry Gould
Publisher :
ISBN 13 :
Total Pages : 275 pages
Book Rating : 4.:/5 (91 download)
Download or read book Variational Methods for Eigenvalue Problems written by Sydney Henry Gould and published by . This book was released on 1966 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. A. Brebbia
Publisher : Springer
ISBN 13 :
Total Pages : 564 pages
Book Rating : 4.:/5 (318 download)
Download or read book Variational Methods in Engineering written by C. A. Brebbia and published by Springer. This book was released on 1985 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dumitru Motreanu
Publisher : Springer Science & Business Media
ISBN 13 : 1475769210
Total Pages : 384 pages
Book Rating : 4.4/5 (757 download)
Download or read book Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems written by Dumitru Motreanu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects a significant part of authors' research activity dur ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. The treatment relies on variational methods, monotonicity principles, topo logical arguments and optimization techniques. Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed. The outline of our work is the following.
Author : BERESTYCKI
Publisher : Springer Science & Business Media
ISBN 13 : 1475710801
Total Pages : 468 pages
Book Rating : 4.4/5 (757 download)
Download or read book Variational Methods written by BERESTYCKI and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the framework of the "Annee non lineaire" (the special nonlinear year) sponsored by the C.N.R.S. (the French National Center for Scien tific Research), a meeting was held in Paris in June 1988. It took place in the Conference Hall of the Ministere de la Recherche and had as an organizing theme the topic of "Variational Problems." Nonlinear analysis has been one of the leading themes in mathemat ical research for the past decade. The use of direct variational methods has been particularly successful in understanding problems arising from physics and geometry. The growth of nonlinear analysis is largely due to the wealth of ap plications from various domains of sciences and industrial applica tions. Most of the papers gathered in this volume have their origin in applications: from mechanics, the study of Hamiltonian systems, from physics, from the recent mathematical theory of liquid crystals, from geometry, relativity, etc. Clearly, no single volume could pretend to cover the whole scope of nonlinear variational problems. We have chosen to concentrate on three main aspects of these problems, organizing them roughly around the following topics: 1. Variational methods in partial differential equations in mathemat ical physics 2. Variational problems in geometry 3. Hamiltonian systems and related topics.
Author : Sydney H. Gould
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (634 download)
Download or read book Variational Methods for Eigenvalue Problems written by Sydney H. Gould and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edgardo O. Taroco
Publisher : John Wiley & Sons
ISBN 13 : 1119600901
Total Pages : 606 pages
Book Rating : 4.1/5 (196 download)
Download or read book Introduction to the Variational Formulation in Mechanics written by Edgardo O. Taroco and published by John Wiley & Sons. This book was released on 2020-02-25 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces readers to the fundamentals and applications of variational formulations in mechanics Nearly 40 years in the making, this book provides students with the foundation material of mechanics using a variational tapestry. It is centered around the variational structure underlying the Method of Virtual Power (MVP). The variational approach to the modeling of physical systems is the preferred approach to address complex mathematical modeling of both continuum and discrete media. This book provides a unified theoretical framework for the construction of a wide range of multiscale models. Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications enables readers to develop, on top of solid mathematical (variational) bases, and following clear and precise systematic steps, several models of physical systems, including problems involving multiple scales. It covers: Vector and Tensor Algebra; Vector and Tensor Analysis; Mechanics of Continua; Hyperelastic Materials; Materials Exhibiting Creep; Materials Exhibiting Plasticity; Bending of Beams; Torsion of Bars; Plates and Shells; Heat Transfer; Incompressible Fluid Flow; Multiscale Modeling; and more. A self-contained reader-friendly approach to the variational formulation in the mechanics Examines development of advanced variational formulations in different areas within the field of mechanics using rather simple arguments and explanations Illustrates application of the variational modeling to address hot topics such as the multiscale modeling of complex material behavior Presentation of the Method of Virtual Power as a systematic tool to construct mathematical models of physical systems gives readers a fundamental asset towards the architecture of even more complex (or open) problems Introduction to the Variational Formulation in Mechanics: Fundamentals and Applications is a ideal book for advanced courses in engineering and mathematics, and an excellent resource for researchers in engineering, computational modeling, and scientific computing.
Author : Karel Rektorys
Publisher : Springer Science & Business Media
ISBN 13 : 9401164509
Total Pages : 566 pages
Book Rating : 4.4/5 (11 download)
Download or read book Variational Methods in Mathematics, Science and Engineering written by Karel Rektorys and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: The impulse which led to the writing of the present book has emerged from my many years of lecturing in special courses for selected students at the College of Civil Engineering of the Tech nical University in Prague, from experience gained as supervisor and consultant to graduate students-engineers in the field of applied mathematics, and - last but not least - from frequent consultations with technicians as well as with physicists who have asked for advice in overcoming difficulties encountered in solving theoretical problems. Even though a varied combination of problems of the most diverse nature was often in question, the problems discussed in this book stood forth as the most essential to this category of specialists. The many discussions I have had gave rise to considerations on writing a book which should fill the rather unfortunate gap in our literature. The book is designed, in the first place, for specialists in the fields of theoretical engineering and science. However, it was my aim that the book should be of interest to mathematicians as well. I have been well aware what an ungrateful task it may be to write a book of the present type, and what problems such an effort can bring: Technicians and physicists on the one side, and mathematicians on the other, are often of diametrically opposing opinions as far as books con ceived for both these categories are concerned.
Author : Peretz P. Friedmann
Publisher : Cambridge University Press
ISBN 13 : 1108906192
Total Pages : 586 pages
Book Rating : 4.1/5 (89 download)
Download or read book Structural Dynamics: Volume 50 written by Peretz P. Friedmann and published by Cambridge University Press. This book was released on 2023-02-28 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the principles of structural dynamics with this comprehensive and self-contained textbook, with key theoretical concepts explained through real-world engineering applications. The theory of natural modes of vibration, the finite element method and the dynamic response of structures is balanced with practical applications to give students a thorough contextual understanding of the subject. Enhanced coverage of damping, rotating systems, and parametric excitation provides students with superior understanding of these essential topics. Examples and homework problems, closely linked to real-world applications, enrich and deepen student understanding. Curated mathematical appendices equip students with all the tools necessary to excel, without disrupting coverage of core topics. Containing all the material needed for a one- or two-semester course, and accompanied online by Matlab code, this authoritative textbook is the ideal introduction for graduate students in aerospace, mechanical and civil engineering.
Author : Jack R. Vinson
Publisher : Springer Science & Business Media
ISBN 13 : 940158141X
Total Pages : 569 pages
Book Rating : 4.4/5 (15 download)
Download or read book The Behavior of Shells Composed of Isotropic and Composite Materials written by Jack R. Vinson and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shell structures are used in all phases of structures, from space vehicles to deep submergence hulls, from nuclear reactors to domes on sport arenas and civic buildings. With new materials and manufacturing methods, curved thin walled structures are being used increasingly. This text is a graduate course in the theory of shells. It covers shells of isotropic materials, such as metal alloys and plastics, and shells of composite materials, such as fibre reinforced polymer, metal or ceramic matrix materials. It provides the essential information for an understanding of the underlying theory, and solution of some of the basic problems. It also provides a basis to study the voluminous shell literature. Beyond being primarily a textbook, it is intended also for self study by practising engineers who would like to learn more about the behaviour of shells. The book has two parts: Part I deals with shells of isotropic materials. In this part the mathematical formulations are introduced involving curvilinear coordinates. The techniques of solutions and resulting behavior is compared to planar thin walled isotropic structures such as plates and beams. Part II then treats the behavior of shells, involving anisotropic composite materials, so widely used today. The analysis involves the complications due to the many elastic constants, effects of transverse shear deformation, thermal thickening and offer effects arising from the properties of composite materials.
Author : J. Angeles
Publisher : Springer Science & Business Media
ISBN 13 : 940113572X
Total Pages : 274 pages
Book Rating : 4.4/5 (11 download)
Download or read book Optimization of Cam Mechanisms written by J. Angeles and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1 Preliminary Concepts A cam mechanism is a mechanical system consisting of three basic components: a driving element, called the cam; a driven element, termed the follower; and a fixed frame. Sometimes, an intermediate element is introduced between the cam and the follower with the purpose of improving the mechanism performance. This element is called the roller because function is to produce a pure-rolling relative motion be tween the cam and the follower. The purpose ofa cam mechanism is the transmission of power or information. In applications concerning power transmission, the main good to be transmitted is force or torque; in applications ofinformation transmission, the main good transmitted takes the form of motion signals. Most modern appli cations of cam mechanisms, to be described shortly, are of the former type. Cam mechanisms used for information transmission were traditionally found in measuring instruments. With the advent ofmodern microprocessor-based hardware, this typeof application is becoming less common. Nevertheless, cam mechanisms are still used in a wide spectrum of applications, especially in automatic machines and instruments, textile machinery, computers, printing presses, food-processing equipment, internal combustion engines, control systems, and photographic equipment (Prenzel, 1989). In the design of cam mechanisms, the engineer performs several activities, namely, task definition, synthesis, analysis, optimization, and dynamic simulation. These tasks do not always follow this order. In fact, some loops may appear in the foregoing tasks, such as those illustrated in Fig. 1. 1. 1.
Author : L. Kachanov
Publisher : Springer Science & Business Media
ISBN 13 : 9789024733194
Total Pages : 162 pages
Book Rating : 4.7/5 (331 download)
Download or read book Introduction to continuum damage mechanics written by L. Kachanov and published by Springer Science & Business Media. This book was released on 1986-05-31 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern engineering materials subjected to unfavorable mechanical and environmental conditions decrease in strength due to the accumulation of microstructural changes. For example, considering damage in metals we can mention creep damage, ductile plastic damage, embrittlement of steels and fatigue damage. To properly estimate the value of damage when designing reliable structures it is necessary to formulate the damage phenomenon in terms of mechanics. Then it is possible to analyse various engineering problems using analytical and computational techniques. During the last two decades the basic principles of continuum damage mechanics were formulated and some special problems were solved. Many scientific papers were published and several conferences on damage mechanics took place. Now continuum damage mechanics is rapidly developing branch of fracture mechanics. This book is probably the first one on the subject; it contains a sys tematic description of the basic aspects of damage mechanics and some of its applications. In general, a theoretical description of damage can be rather compli cated. The experiments in this field are difficult (especially under multiax ial stress and non-proportional loading). Therefore, experimental data, as a rule, are scarce. Determination of functions and constants, which play a role in the complex variants of the theory, from available experimental data is often practically impossible. ix L.M. Kachanov The problems of damage mechanics are mainly engineering ones. Therefore, the author tries to avoid superfluous mathematical formalism. Some more details of the book's subject can be found in the list of con tents.
