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Eigenvalues Of Inhomogeneous Structures


Eigenvalues Of Inhomogeneous Structures
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Eigenvalues Of Inhomogeneous Structures


Eigenvalues Of Inhomogeneous Structures
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Author : Isaac Elishakoff
language : en
Publisher: CRC Press
Release Date : 2004-10-28

Eigenvalues Of Inhomogeneous Structures written by Isaac Elishakoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-28 with Science categories.


The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation



Mechanics Of Functionally Graded Material Structures


Mechanics Of Functionally Graded Material Structures
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Author : Isaac E. T. Al ELISHAKOFF
language : en
Publisher: World Scientific
Release Date : 2015-10-29

Mechanics Of Functionally Graded Material Structures written by Isaac E. T. Al ELISHAKOFF and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-29 with Technology & Engineering categories.


Mechanics of Functionally Graded Material Structures is an authoritative and fresh look at various functionally graded materials, customizing them with various structures. The book is devoted to tailoring material properties to the needed structural performance. The authors pair materials with the appropriate structures based upon their purpose and use.Material grading of structures depending upon thickness, axial and polar directions are discussed. Three dimensional analysis of rectangular plates made of functional graded materials and vibrational tailoring of inhomogeneous beams and circular plates are both covered in great detail. The authors derive novel closed form solutions that can serve as benchmarks that numerical solutions can be compared to. These are published for the first time in the literature. This is a unique book that gives the first exposition of the effects of various grading mechanisms on the structural behavior as well as taking into account vibrations and buckling.



Stability Of Structures


Stability Of Structures
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Author : Chai H Yoo
language : en
Publisher: Elsevier
Release Date : 2011-05-12

Stability Of Structures written by Chai H Yoo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-12 with Technology & Engineering categories.


The current trend of building more streamlined structures has made stability analysis a subject of extreme importance. It is mostly a safety issue because Stability loss could result in an unimaginable catastrophe. Written by two authors with a combined 80 years of professional and academic experience, the objective of Stability of Structures: Principles and Applications is to provide engineers and architects with a firm grasp of the fundamentals and principles that are essential to performing effective stability analysts. Concise and readable, this guide presents stability analysis within the context of elementary nonlinear flexural analysis, providing a strong foundation for incorporating theory into everyday practice. The first chapter introduces the buckling of columns. It begins with the linear elastic theory and proceeds to include the effects of large deformations and inelastic behavior. In Chapter 2 various approximate methods are illustrated along with the fundamentals of energy methods. The chapter concludes by introducing several special topics, some advanced, that are useful in understanding the physical resistance mechanisms and consistent and rigorous mathematical analysis. Chapters 3 and 4 cover buckling of beam-columns. Chapter 5 presents torsion in structures in some detail, which is one of the least well understood subjects in the entire spectrum of structural mechanics. Strictly speaking, torsion itself does not belong to a topic in structural stability, but needs to be covered to some extent for a better understanding of buckling accompanied with torsional behavior. Chapters 6 and 7 consider stability of framed structures in conjunction with torsional behavior of structures. Chapters 8 to 10 consider buckling of plate elements, cylindrical shells, and general shells. Although the book is primarily devoted to analysis, rudimentary design aspects are discussed. - Balanced presentation for both theory and practice - Well-blended contents covering elementary to advanced topics - Detailed presentation of the development



Mechanical Vibration Where Do We Stand


Mechanical Vibration Where Do We Stand
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Author : Isaac Elishakoff
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-12

Mechanical Vibration Where Do We Stand written by Isaac Elishakoff 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 2007-12-12 with Technology & Engineering categories.


''There is always a delightful sense of movement, vibration and life"". Theodore Robinson (1852-1896) "/ have never solved a major mechanical or interpretive problem at the keyboard. I have always solved it in my mind". Jorge Bolet (1914-1990) The idea of this book stems from the realization that scientists, not unlike laymen, should occasionally interrupt their regular work and reflect on the past, to see both the accomplishments and the drawbacks, so as to be able to plan for future research in the "proper" perspective. But an inquisitive reader may ask: Can one really document in any field, let alone mechanical vibrations (whose very name signifies change), ''where do we stand"? Did not a Greek philosopher famously claim that one cannot enter a river twice? Another, on an even more sophisticated note, added that actually it is impossible to enter a river even once! For in the process of entering, both entrant and river change. Likewise, one can argue that it is nearly impossible to answer the question posed in the title of this volume. But experience shows, despite the sage observations of the philosophers, that one does enter a river, lake, sea, or ocean. Likewise, scientists do stop (if not for a minute, for a conference) to reflect on the past, and if not in its detail, then at least in big strokes on various topics presented by the participants; questions by the listeners often change the research direction of the presenter.



Fundamentals Of Structural Optimization


Fundamentals Of Structural Optimization
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Author : Vladimir Kobelev
language : en
Publisher: Springer Nature
Release Date : 2023-12-01

Fundamentals Of Structural Optimization written by Vladimir Kobelev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-01 with Technology & Engineering categories.


This book serves as a complementary resource to the courses "Advanced structural optimization" and "Structural optimization in automotive engineering" taught by the author at the University of Siegen, North-Rhine-Westphalia, Germany since 2001. Focusing on optimization problems in the field of structural engineering, this book offers a rigorous and analytical approach to problem-solving. Each chapter of the book begins with a brief overview of classical results and the derivation of governing equations. The solutions to optimization problems are then presented in a closed form, with the author guiding readers through several analytical methods for solving stability and contact tasks. Throughout the book, the author takes care to ensure that even readers without extensive experience in numerical computations can understand the conclusion of each relation. The book features several basic optimization problems, selected from a large pool of previously solvedproblems, with a particular emphasis on the unique features of optimization problems. By presenting analytical solutions, readers can better understand other known optimization problems and gain the skills needed to independently set and solve new problems. With its comprehensive and rigorous approach to problem-solving, this book is sure to enhance the reader's understanding of the field and equip them with the skills needed to tackle new challenges.



Mechanics For Materials And Technologies


Mechanics For Materials And Technologies
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2017-04-02

Mechanics For Materials And Technologies written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-02 with Science categories.


This book shows impressively how complex mathematical modeling of materials can be applied to technological problems. Top-class researchers present the theoretical approaches in modern mechanics and apply them to real-world problems in solid mechanics, creep, plasticity, fracture, impact, and friction. They show how they can be applied to technological challenges in various fields like aerospace technology, biological sciences and modern engineering materials.



Modern Trends In Structural And Solid Mechanics 3


Modern Trends In Structural And Solid Mechanics 3
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Author : Noel Challamel
language : en
Publisher: John Wiley & Sons
Release Date : 2021-06-02

Modern Trends In Structural And Solid Mechanics 3 written by Noel Challamel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-02 with Science categories.


This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This third volume is devoted to non-deterministic mechanics. Modern Trends in Structural and Solid Mechanics 3 has broad scope, covering topics such: design optimization under uncertainty, interval field approaches, convex analysis, quantum inspired topology optimization and stochastic dynamics. The book is illustrated by many applications in the field of aerospace engineering, mechanical engineering, civil engineering, biomedical engineering and automotive engineering. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.



Modern Trends In Structural And Solid Mechanics 2


Modern Trends In Structural And Solid Mechanics 2
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Author : Noel Challamel
language : en
Publisher: John Wiley & Sons
Release Date : 2021-06-08

Modern Trends In Structural And Solid Mechanics 2 written by Noel Challamel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with Science categories.


This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.



Modern Trends In Structural And Solid Mechanics 1


Modern Trends In Structural And Solid Mechanics 1
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Author : Noel Challamel
language : en
Publisher: John Wiley & Sons
Release Date : 2021-06-29

Modern Trends In Structural And Solid Mechanics 1 written by Noel Challamel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-29 with Science categories.


This book - comprised of three separate volumes - presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.



Asymptotic Analysis Of Fields In Multi Structures


Asymptotic Analysis Of Fields In Multi Structures
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Author : Vladimir Kozlov
language : en
Publisher: Oxford University Press, USA
Release Date : 1999

Asymptotic Analysis Of Fields In Multi Structures written by Vladimir Kozlov and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


This book outlines a powerful new method in analysis which has already been instrumental in solving complicated partial differential equations arising in various areas of engineering. It is suitable for those working with partial differential equations and their applications, and an undergraduate knowledge of PDE's and functional analysis is assumed.