Vibration of Functionally Graded Beams and Plates - 1st Edition - ISBN: 9780128042281, 9780128042700

Vibration of Functionally Graded Beams and Plates

1st Edition

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Authors: Snehashish Chakraverty Karan Kumar Pradhan
Paperback ISBN: 9780128042281
eBook ISBN: 9780128042700
Imprint: Academic Press
Published Date: 26th January 2016
Page Count: 248
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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.

Key Features

  • 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


Researchers in materials and mechanics of materials, and designers of thermal resistant technology for nuclear power generation, aerospace, automotive and structural engineering

Table of Contents

  • Chapter 1: Introduction
    • Abstract
    • 1.1 Structural Beams and Plates
    • 1.2 Background of Composites
    • 1.3 Vibration Preliminaries
  • Chapter 2: Origin and Basics of Functionally Graded Structural Members
    • Abstract
    • 2.1 History and Application of FG Composites
    • 2.2 Variation of Material Properties
    • 2.3 Beam and Plate Theories
    • 2.4 Governing Equations
  • Chapter 3: Analytical and Numerical Methods
    • Abstract
    • 3.1 History of Various Methods
    • 3.2 Analytical Methods
    • 3.3 Numerical Method(s)
  • Chapter 4: Functionally Graded Beams
    • Abstract
    • 4.1 Vibration of Uniform FG Beam
    • 4.2 Concluding Remarks
  • Chapter 5: Vibration Problems of Functionally Graded Rectangular Plates
    • Abstract
    • 5.1 Numerical Modeling
    • 5.2 Convergence and Comparison Studies
    • 5.3 Results and Discussions
    • 5.4 Concluding Remarks
  • Chapter 6: Vibration Problems of Functionally Graded Elliptic Plates
    • Abstract
    • 6.1 Numerical Modeling
    • 6.2 Convergence and Comparison Studies
    • 6.3 Results and Discussions
    • 6.4 Concluding Remarks
  • Chapter 7: Vibration Problems of Functionally Graded Triangular Plates
    • Abstract
    • 7.1 Types of FG Triangular Elements
    • 7.2 Numerical Modeling
    • 7.3 Convergence and Comparison Studies
    • 7.4 Results and Discussions
    • 7.5 Concluding Remarks
  • Chapter 8: Complicating Effects
    • Abstract
    • 8.1 Winkler and Pasternak Foundations
    • 8.2 Thermal Environments
    • 8.3 Piezoelectricity
    • 8.4 Concluding Remarks
  • Chapter 9: Practical Examples and Experimental Studies
    • Abstract
    • 9.1 Practical Applications
    • 9.2 Experimental Studies
  • References
  • Index


No. of pages:
© Academic Press 2016
26th January 2016
Academic Press
Paperback ISBN:
eBook ISBN:

About the Author

Snehashish Chakraverty

Prof. S. Chakraverty has 29 years of experience as a researcher and teacher. Presently he is working in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, Odisha as a full (HAG) Professor. Prior to this he was with CSIR-Central Building Research Institute, Roorkee, India. He has authored/co-authored 14 books, with others in progress, and published more than 300 research papers and is on several editorial boards. He was the President of the Section of Mathematical sciences (including Statistics) of Indian Science Congress (2015-2016) and was the Vice President of the Orissa Mathematical Society (2011-2013). Prof. Chakraverty is the recipient of numerous awards and has undertaken around 16 research projects as Principle Investigator funded by international and national agencies. His present research area includes Differential Equations, Soft Computing and Machine Intelligence, Numerical Analysis, Mathematical Modeling, Uncertainty Modelling, Vibration and Inverse Vibration Problems.

Affiliations and Expertise

Professor, Department of Mathematics, National Institute of Technology Rourkela, Rourkela-769008, Odisha, India

Karan Kumar Pradhan

Karan Kumar Pradhan is the Assistant Professor (NPIU, TEQIP-III) in Department of Basic Science, Parala Maharaja Engineering College, Berhampur (Odisha). Formerly, he was the Senior Research Fellow, Department of Mathematics, National Institute of Technology, Rourkela, India and also the recipient of SERB National Post-Doctoral Fellowship. KK Pradhan’s research interests are numerical modeling, vibration problems, and structural members.

Affiliations and Expertise

Senior Research Fellow, Dept of Mathematics, National Institute of Technology, Rourkela, India

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