Vibration of Functionally Graded Beams and Plates

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

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  • Author : Snehashish Chakraverty
  • Publisher : Academic Press
  • Pages : 248 pages
  • ISBN : 0128042702
  • Rating : 5/5 from 6 reviews
CLICK HERE TO GET THIS BOOKVibration of Functionally Graded Beams and Plates

Vibration of Functionally Graded Beams and Plates

Vibration of Functionally Graded Beams and Plates
  • Author : Snehashish Chakraverty,Karan Kumar Pradhan
  • Publisher : Academic Press
  • Release : 11 February 2016
GET THIS BOOKVibration of Functionally Graded Beams and Plates

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,

New Paradigms in Computational Modeling and Its Applications

New Paradigms in Computational Modeling and Its Applications
  • Author : Snehashish Chakraverty
  • Publisher : Academic Press
  • Release : 09 January 2021
GET THIS BOOKNew Paradigms in Computational Modeling and Its Applications

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

Computational Structural Mechanics

Computational Structural Mechanics
  • Author : Snehashish Chakraverty,Karan Kumar Pradhan
  • Publisher : Academic Press
  • Release : 13 September 2018
GET THIS BOOKComputational Structural Mechanics

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

Mechanics of Functionally Graded Material Structures

Mechanics of Functionally Graded Material Structures
  • Author : Isaac Elishakoff,Demetris Pentaras,Cristina Gentilini
  • Publisher : World Scientific
  • Release : 29 October 2015
GET THIS BOOKMechanics of Functionally Graded Material Structures

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

Mechanics of Functionally Graded Materials and Structures

Mechanics of Functionally Graded Materials and Structures
  • Author : Farzad Ebrahimi
  • Publisher : BoD – Books on Demand
  • Release : 08 January 2020
GET THIS BOOKMechanics of Functionally Graded Materials and Structures

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

Beam Structures

Beam Structures
  • Author : Erasmo Carrera,Gaetano Giunta,Marco Petrolo
  • Publisher : John Wiley & Sons
  • Release : 28 July 2011
GET THIS BOOKBeam Structures

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

Buckling and Postbuckling of Beams, Plates, and Shells

Buckling and Postbuckling of Beams, Plates, and Shells
  • Author : M. Reza Eslami
  • Publisher : Springer
  • Release : 03 November 2017
GET THIS BOOKBuckling and Postbuckling of Beams, Plates, and Shells

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

Shear Deformable Beams and Plates

Shear Deformable Beams and Plates
  • Author : C.M. Wang,J.N. Reddy,K.H. Lee
  • Publisher : Elsevier
  • Release : 19 July 2000
GET THIS BOOKShear Deformable Beams and Plates

Most books on the theory and analysis of beams and plates deal with the classical (Euler-Bernoulli/Kirchoff) theories but few include shear deformation theories in detail. The classical beam/plate theory is not adequate in providing accurate bending, buckling, and vibration results when the thickness-to-length ratio of the beam/plate is relatively large. This is because the effect of transverse shear strains, neglected in the classical theory, becomes significant in deep beams and thick plates. This book illustrates how shear

Nonlinear Vibrations and Stability of Shells and Plates

Nonlinear Vibrations and Stability of Shells and Plates
  • Author : Marco Amabili
  • Publisher : Cambridge University Press
  • Release : 14 January 2008
GET THIS BOOKNonlinear Vibrations and Stability of Shells and Plates

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

Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories

Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories
  • Author : Elishakoff Isaac E
  • Publisher : World Scientific
  • Release : 29 October 2019
GET THIS BOOKHandbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories

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

Structural Vibration

Structural Vibration
  • Author : C.Y. Wang,C.M. Wang
  • Publisher : CRC Press
  • Release : 19 April 2016
GET THIS BOOKStructural Vibration

Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates offers an introduction to structural vibration and highlights the importance of the natural frequencies in design. It focuses on free vibrations for analysis and design of structures and machine and presents the exact vibration solutions for strings, membranes, beams, a

Modern Mechanics and Applications

Modern Mechanics and Applications
  • Author : Nguyen Tien Khiem,Tran Van Lien,Nguyen Xuan Hung
  • Publisher : Springer Nature
  • Release : 06 September 2021
GET THIS BOOKModern Mechanics and Applications

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

Thermal Stress Analysis of Composite Beams, Plates and Shells

Thermal Stress Analysis of Composite Beams, Plates and Shells
  • Author : Erasmo Carrera,Fiorenzo A. Fazzolari,Maria Cinefra
  • Publisher : Academic Press
  • Release : 25 November 2016
GET THIS BOOKThermal Stress Analysis of Composite Beams, Plates and Shells

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

Analytical or Semi-analytical Solutions of Functionally Graded Material Structures

Analytical or Semi-analytical Solutions of Functionally Graded Material Structures
  • Author : Zheng Zhong,Guojun Nie
  • Publisher : Springer Nature
  • Release : 23 April 2021
GET THIS BOOKAnalytical or Semi-analytical Solutions of Functionally Graded Material Structures

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