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Vibration Of Functionally Graded Beams And Plates

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Vibration of Functionally Graded Beams and Plates

Vibration of Functionally Graded Beams and Plates Book
Author : Snehashish Chakraverty,Karan Kumar Pradhan
Publisher : Academic Press
Release : 2016-02-11
ISBN : 0128042702
Language : En, Es, Fr & De

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Book Description :

Vibration of Functionally Graded Beams and Plates uses numerically efficient computational techniques to analyze vibration problems associated with FG beams and plates. Introductory material on FG materials and structural members, as well as a range of vibration and shear deformation theories are discussed, providing a valuable summary of these broader themes. The latest research and analysis of vibration in FG materials is presented in an application-oriented manner, linking the research to its importance in fields such as aerospace, nuclear power, and automotive engineering. The book also features research on the complicating effects of thermal environments, piezoelectricity, and elastic foundations. The innovative computational procedures and simulation results are shown in full throughout, providing a uniquely valuable resource for users of numerical modeling software. This book is essential reading for any researcher or practitioner interested in FG materials, or the design of technology for the nuclear power, aerospace, and automotive industries. Defines the basic preliminaries of vibration and FG materials Introduces historical background and recent developments in functionally graded materials with references for further reading Shows computational procedures with simulation results Includes many easy to understand example problems Presents various analytical and numerical procedures for each solution

New Paradigms in Computational Modeling and Its Applications

New Paradigms in Computational Modeling and Its Applications Book
Author : Snehashish Chakraverty
Publisher : Academic Press
Release : 2021-01-09
ISBN : 0128221682
Language : En, Es, Fr & De

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Book Description :

In general, every problem of science and engineering is governed by mathematical models. There is often a need to model, solve and interpret the problems one encounters in the world of practical problems. Models of practical application problems usually need to be handled by efficient computational models. New Paradigms in Computational Modeling and Its Applications deals with recent developments in mathematical methods, including theoretical models as well as applied science and engineering. The book focuses on subjects that can benefit from mathematical methods with concepts of simulation, waves, dynamics, uncertainty, machine intelligence, and applied mathematics. The authors bring together leading-edge research on mathematics combining various fields of science and engineering. This perspective acknowledges the inherent characteristic of current research on mathematics operating in parallel over different subject fields. New Paradigms in Computational Modeling and Its Applications meets the present and future needs for the interaction between various science and technology/engineering areas on the one hand and different branches of mathematics on the other. As such, the book contains 13 chapters covering various aspects of computational modeling from theoretical to application problems. The first six chapters address various problems of structural and fluid dynamics. The next four chapters include solving problems where the governing parameters are uncertain regarding fuzzy, interval, and affine. The final three chapters will be devoted to the use of machine intelligence in artificial neural networks. Presents a self-contained and up to date review of modelling real life scientific and engineering application problems Introduces new concepts of various computing techniques to handle different engineering and science problems Demonstrates the efficiency and power of the various algorithms and models in a simple and easy to follow style, including numerous examples to illustrate concepts and algorithms

Mechanics of Functionally Graded Material Structures

Mechanics of Functionally Graded Material Structures Book
Author : Isaac Elishakoff,Demetris Pentaras,Cristina Gentilini
Publisher : World Scientific
Release : 2015-10-29
ISBN : 9814656607
Language : En, Es, Fr & De

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Book Description :

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. Contents:Three-Dimensional Analysis of Rectangular Plates Made of Functionally Graded Materials:Elastic PlatesIntroduction to Functionally Graded MaterialsDynamic Analysis of Plates Made of Functionally Graded MaterialsStatic Analysis of Plates Made of Functionally Graded MaterialsVibration Tailoring of Inhomogenous Beams and Circular Plates:Beams Made of Functionally Graded MaterialVibration Tailoring of Inhomogeneous Elastically Restrained Vibrating BeamsSome Intriguing Results Pertaining to Functionally Graded ColumnsDesign of Heterogeneous Polar–Orthotropic Clamped Circular Plates with Specified Fundamental Natural FrequencyVibration Tailoring of Simply-Supported Polar Orthotropic Inhomogeneous Circular PlatesVibration Tailoring of Clamped–Clamped Polar Orthotropic Inhomogeneous Circular PlatesVibration Tailoring of a Polar Orthotropic Circular Plate with Translational SpringConclusionAppendices:A Novel Formulation Leading to Closed-Form Solutions for Buckling of Circular PlatesInverse Vibration Problem for Inhomogeneous Circular Plate with Translational SpringApparently First Closed-Form Solutions for Non-Symmetric Vibrations of Inhomogeneous Circular PlatesClosed-Form Solution for Axisymmetric Vibration of Inhomogeneous Simply-Supported Circular Plates Readership: Graduate students, academics, professional and researchers interested in the effects of various grading mechanisms on structural behavior as well as vibration and buckling.Key Features:This book deals with material grading of structures in (a) thickness, (b) axial and (c) polar directionsIt derives novel closed-form solutions that can serve as benchmarks with which numerical solutions can be compared withIt contains extensive bibliography in this fascinating topicKeywords:Materials;Structures;Vibrations;Three-Dimensional Analysis

Mechanics of Functionally Graded Materials and Structures

Mechanics of Functionally Graded Materials and Structures Book
Author : Farzad Ebrahimi
Publisher : BoD – Books on Demand
Release : 2020-01-08
ISBN : 1789845548
Language : En, Es, Fr & De

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Book Description :

The Functionally Graded Materials (FGM) concept originated in Japan in 1984 during the spaceplane project, in the form of a proposed thermal barrier material capable of withstanding a surface temperature of 2000 K and a temperature gradient of 1000 K across a cross section 10 mm. The materials can be designed for specific function and applications. FGMs offer great promise in applications where the operating conditions are extreme. For example, wear-resistant linings for handling large, heavy, abrasive ore particles; rocket heat shields; heat exchanger tubes; thermoelectric generators; heat-engine components; plasma facings for fusion reactors; and electrically insulating metal/ceramic joints. They are also ideal for minimizing thermomechanical mismatch in metal-ceramic bonding. This book is a result of contributions of experts from the international scientific community working in different aspects of functionally graded materials and structures and reports on the latest research and development findings on this topic through original and innovative research studies. Through its six chapters, the reader will have access to works related to processing, characteristics, modeling, and applications of functionally graded materials and structures.The book contains up-to-date publications from leading experts and the edition is intended to provide valuable recent information to the professionals involved in functionally graded materials and structure analysis and applications. The text is addressed not only to researchers, but also to professional engineers, students, and other experts in a variety of disciplines, both academic and industrial, seeking to gain a better understanding of what has been done in the field recently, and what open problems are in this area.

Computational Structural Mechanics

Computational Structural Mechanics Book
Author : Snehashish Chakraverty,Karan Kumar Pradhan
Publisher : Academic Press
Release : 2018-09-13
ISBN : 0128156422
Language : En, Es, Fr & De

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Book Description :

Computational Structural Mechanics: Static and Dynamic Behaviors provides a cutting-edge treatment of functionally graded materials and the computational methods and solutions of FG static and vibration problems of plates. Using the Rayleigh-Ritz method, static and dynamic problems related to behavior of FG rectangular, Levy, elliptic, skew and annular plates are discussed in detail. A thorough review of the latest research results, computational methods and applications of FG technology make this an essential resource for researchers in academia and industry. Explains application-oriented treatments of the functionally graded materials used in industry Addresses relevant algorithms and key computational techniques Provides numerical solutions of static and vibration problems associated with functionally graded beams and plates of different geometries

Mechanics of Functionally Graded Material Structures

Mechanics of Functionally Graded Material Structures Book
Author : Isaac E. T. Al ELISHAKOFF
Publisher : World Scientific
Release : 2015-10-29
ISBN : 9814656593
Language : En, Es, Fr & De

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Book Description :

Download Mechanics of Functionally Graded Material Structures book written by Isaac E. T. Al ELISHAKOFF, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Buckling and Postbuckling of Beams Plates and Shells

Buckling and Postbuckling of Beams  Plates  and Shells Book
Author : M. Reza Eslami
Publisher : Springer
Release : 2017-11-03
ISBN : 3319623680
Language : En, Es, Fr & De

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Book Description :

This book contains eight chapters treating the stability of all major areas of the flexural theory. It covers the stability of structures under mechanical and thermal loads and all areas of structural, loading and material types. The structural element may be assumed to be made of a homogeneous/isotropic material, or of a functionally graded material. Structures may experience the bifurcation phenomenon, or they may follow the postbuckling path. This volume explains all these aspects in detail. The book is self-contained and the necessary mathematical concepts and numerical methods are presented in such a way that the reader may easily follow the topics based on these basic tools. It is intended for people working or interested in areas of structural stability under mechanical and/or thermal loads. Some basic knowledge in classical mechanics and theory of elasticity is required.

Modern Mechanics and Applications

Modern Mechanics and Applications Book
Author : Nguyen Tien Khiem,Tran Van Lien,Nguyen Xuan Hung
Publisher : Springer Nature
Release : 2021-09-06
ISBN : 9811632391
Language : En, Es, Fr & De

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Book Description :

This proceedings book includes a selection of refereed papers presented at the International Conference on Modern Mechanics and Applications (ICOMMA) 2020, which took place in Ho Chi Minh City, Vietnam, on December 2–4, 2020. The contributions highlight recent trends and applications in modern mechanics. Subjects covered include biological systems; damage, fracture, and failure; flow problems; multiscale multi-physics problems; composites and hybrid structures; optimization and inverse problems; lightweight structures; mechatronics; dynamics; numerical methods and intelligent computing; additive manufacturing; natural hazards modeling. The book is intended for academics, including graduate students and experienced researchers interested in recent trends in modern mechanics and application.

Handbook On Timoshenko ehrenfest Beam And Uflyand Mindlin Plate Theories

Handbook On Timoshenko ehrenfest Beam And Uflyand  Mindlin Plate Theories Book
Author : Elishakoff Isaac E
Publisher : World Scientific
Release : 2019-10-29
ISBN : 9813236531
Language : En, Es, Fr & De

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Book Description :

The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)

Beam Structures

Beam Structures Book
Author : Erasmo Carrera,Gaetano Giunta,Marco Petrolo
Publisher : John Wiley & Sons
Release : 2011-07-28
ISBN : 1119951046
Language : En, Es, Fr & De

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Book Description :

Beam theories are exploited worldwide to analyze civil, mechanical, automotive, and aerospace structures. Many beam approaches have been proposed during the last centuries by eminent scientists such as Euler, Bernoulli, Navier, Timoshenko, Vlasov, etc. Most of these models are problem dependent: they provide reliable results for a given problem, for instance a given section and cannot be applied to a different one. Beam Structures: Classical and Advanced Theories proposes a new original unified approach to beam theory that includes practically all classical and advanced models for beams and which has become established and recognised globally as the most important contribution to the field in the last quarter of a century. The Carrera Unified Formulation (CUF) has hierarchical properties, that is, the error can be reduced by increasing the number of the unknown variables. This formulation is extremely suitable for computer implementations and can deal with most typical engineering challenges. It overcomes the problem of classical formulae that require different formulas for tension, bending, shear and torsion; it can be applied to any beam geometries and loading conditions, reaching a high level of accuracy with low computational cost, and can tackle problems that in most cases are solved by employing plate/shell and 3D formulations. Key features: compares classical and modern approaches to beam theory, including classical well-known results related to Euler-Bernoulli and Timoshenko beam theories pays particular attention to typical applications related to bridge structures, aircraft wings, helicopters and propeller blades provides a number of numerical examples including typical Aerospace and Civil Engineering problems proposes many benchmark assessments to help the reader implement the CUF if they wish to do so accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given in the book as well as to solve other problems of their own www.mul2.com Researchers of continuum mechanics of solids and structures and structural analysts in industry will find this book extremely insightful. It will also be of great interest to graduate and postgraduate students of mechanical, civil and aerospace engineering.

Current Advances in Mechanical Engineering

Current Advances in Mechanical Engineering Book
Author : Saroj Kumar Acharya,Dipti Prasad Mishra
Publisher : Springer Nature
Release : 2021-03-17
ISBN : 9813347953
Language : En, Es, Fr & De

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Book Description :

This book presents select proceedings of the International Conference on Recent Advances in Mechanical Engineering Research and Development (ICRAMERD 2020). The contents focus on latest research and current problems in various branches of mechanical engineering. Some of the topics discussed here include fracture and failure analysis, fuels and alternative fuels, combustion and IC engines, advanced manufacturing technologies, powder metallurgy and rapid prototyping, industrial engineering and automation, supply chain management, design of mechanical systems, vibrations and control engineering, automobile engineering, fluid mechanics and machines, heat transfer, composite materials, micro and nano-engineering for energy storage and conversion, and modeling and simulations. The wide range of topics presented in this book can make it useful for beginners, researchers as well as professionals in mechanical engineering.

Advances in Nonlinear Dynamics

Advances in Nonlinear Dynamics Book
Author : Walter Lacarbonara
Publisher : Springer Nature
Release : 2022-07-07
ISBN : 303081162X
Language : En, Es, Fr & De

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Book Description :

Download Advances in Nonlinear Dynamics book written by Walter Lacarbonara, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Functionally Graded Materials FGMs

Functionally Graded Materials  FGMs  Book
Author : Pulak M. Pandey,Sandeep Rathee,Manu Srivastava,Prashant K. Jain
Publisher : CRC Press
Release : 2021-09-15
ISBN : 1000439364
Language : En, Es, Fr & De

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Book Description :

The science and study of functionally graded materials (FGMs) have intrigued researchers over the last few decades. Their application has the capability to produce parts with unmatched properties which are virtually impossible to obtain via conventional material routes. This book addresses various FGM aspects and provides a relevant, high-quality, and comprehensive data source. The book covers trends, process classification on various bases, physical processes involved, structure, properties, applications, advantages, and limitations. Emerging trends in the field are discussed in detail and advancements are thoroughly reviewed and presented to broaden the spectrum of FGM applications. This reference book will be of interest to scholars, researchers, academicians, industry practitioners, government labs, libraries, and anyone interested in the area of materials engineering.

Thermal Stress Analysis of Composite Beams Plates and Shells

Thermal Stress Analysis of Composite Beams  Plates and Shells Book
Author : Erasmo Carrera,Fiorenzo A. Fazzolari,Maria Cinefra
Publisher : Academic Press
Release : 2016-11-25
ISBN : 0124200931
Language : En, Es, Fr & De

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Book Description :

Thermal Stress Analysis of Composite Beams, Plates and Shells: Computational Modelling and Applications presents classic and advanced thermal stress topics in a cutting-edge review of this critical area, tackling subjects that have little coverage in existing resources. It includes discussions of complex problems, such as multi-layered cases using modern advanced computational and vibrational methods. Authors Carrera and Fazzolari begin with a review of the fundamentals of thermoelasticity and thermal stress analysis relating to advanced structures and the basic mechanics of beams, plates, and shells, making the book a self-contained reference. More challenging topics are then addressed, including anisotropic thermal stress structures, static and dynamic responses of coupled and uncoupled thermoelastic problems, thermal buckling, and post-buckling behavior of thermally loaded structures, and thermal effects on panel flutter phenomena, amongst others. Provides an overview of critical thermal stress theory and its relation to beams, plates, and shells, from classical concepts to the latest advanced theories Appeals to those studying thermoelasticity, thermoelastics, stress analysis, multilayered structures, computational methods, buckling, static response, and dynamic response Includes the authors' unified formulation (UF) theory, along with cutting-edge topics that receive little coverage in other references Covers metallic and composite structures, including a complete analysis and sample problems of layered structures, considering both mesh and meshless methods Presents a valuable resource for those working on thermal stress problems in mechanical, civil, and aerospace engineering settings

Mathematical Modelling and Numerical Analysis of Size Dependent Structural Members in Temperature Fields

Mathematical Modelling and Numerical Analysis of Size Dependent Structural Members in Temperature Fields Book
Author : Jan Awrejcewicz,Anton V. Krysko,Maxim V. Zhigalov,Vadim A. Krysko
Publisher : Springer Nature
Release : 2020-10-08
ISBN : 3030559939
Language : En, Es, Fr & De

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Book Description :

This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.

Analytical or Semi analytical Solutions of Functionally Graded Material Structures

Analytical or Semi analytical Solutions of Functionally Graded Material Structures Book
Author : Zheng Zhong,Guojun Nie
Publisher : Springer Nature
Release : 2021-04-23
ISBN : 9811620040
Language : En, Es, Fr & De

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Book Description :

This book provides a comprehensive introduction to the analysis of functionally graded materials and structures. Functionally graded materials (FGMs), in which the volume fractions of two or more constituent materials are designed to vary continuously as a function of position along certain direction(s), have been developed and studied over the past three decades. The major advantage of FGMs is that no distinct internal boundaries exist, and failures from interfacial stress concentrations developed in conventional components can be avoided. The gradual change of material properties can be tailored to different applications and working environments. As these materials’ range of application expands, new methodologies have to be developed to characterize them, and to design and analyze structural components made of them. Despite a number of existing papers on the analysis of functionally graded materials and structures, there is no single book that is devoted entirely to the analysis of functionally graded beams, plates and shells using different methods, e.g.,analytical or semi-analytical methods. Filling this gap in the literature, the book offers a valuable reference resource for senior undergraduates, graduate students, researchers, and engineers in this field. The results presented here can be used as a benchmark for checking the validity and accuracy of other numerical solutions. They can also be used directly in the design of functionally graded materials and structures.

Handbook of Research on Advancements in Manufacturing Materials and Mechanical Engineering

Handbook of Research on Advancements in Manufacturing  Materials  and Mechanical Engineering Book
Author : Burstein, Leonid
Publisher : IGI Global
Release : 2020-09-18
ISBN : 1799849406
Language : En, Es, Fr & De

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Book Description :

Production, new materials development, and mechanics are the central subjects of modern industry and advanced science. With a very broad reach across several different disciplines, selecting the most forward-thinking research to review can be a hefty task, especially for study in niche applications that receive little coverage. For those subjects, collecting the research available is of utmost importance. The Handbook of Research on Advancements in Manufacturing, Materials, and Mechanical Engineering is an essential reference source that examines emerging obstacles in these fields of engineering and the methods and tools used to find solutions. Featuring coverage of a broad range of topics including fabricating procedures, automated control, and material selection, this book is ideally designed for academics; tribology and materials researchers; mechanical, physics, and materials engineers; professionals in related industries; scientists; and students.

Wave Propagation Analysis of Smart Nanostructures

Wave Propagation Analysis of Smart Nanostructures Book
Author : Farzad Ebrahimi,Ali Dabbagh
Publisher : CRC Press
Release : 2019-12-06
ISBN : 1000760189
Language : En, Es, Fr & De

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Book Description :

Wave Propagation Analysis of Smart Nanostructures presents a mathematical framework for the wave propagation problem of small-scale nanobeams and nanoplates manufactured from various materials, including functionally graded composites, smart piezoelectric materials, smart magneto-electro-elastic materials, smart magnetostrictive materials, and porous materials. In this book, both classical and refined higher-order shear deformation beam and plate hypotheses are employed to formulate the wave propagation problem using the well-known Hamilton’s principle. Additionally, the influences of small-scale nanobeams on the mechanical behaviors of nanostructures are covered using both nonlocal elasticity and nonlocal strain gradient elasticity theories. Impacts of various terms, such as elastic springs of elastic foundation, damping coefficient of viscoelastic substrate, different types of temperature change, applied electric voltage and magnetic potential, and intensity of an external magnetic field on the dispersion curves of nanostructures, are included in the framework of numerous examples.

Proceedings of the 6th National Symposium on Rotor Dynamics

Proceedings of the 6th National Symposium on Rotor Dynamics Book
Author : J. S. Rao,V. Arun Kumar,Soumendu Jana
Publisher : Springer Nature
Release : 2020-10-13
ISBN : 9811557012
Language : En, Es, Fr & De

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Book Description :

This book presents select papers presented during the 6th National Symposium on Rotor Dynamics, held at CSIR-NAL, Bangalore, and focuses on the latest trends in rotor dynamics and various challenges encountered in the design of rotating machinery. The book is of interest to researchers from mechanical, aerospace, tribology and power industries, engineering service providers and academics.

Nonlinear Vibrations and Stability of Shells and Plates

Nonlinear Vibrations and Stability of Shells and Plates Book
Author : Marco Amabili
Publisher : Cambridge University Press
Release : 2008-01-14
ISBN : 1139469029
Language : En, Es, Fr & De

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Book Description :

This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.