Vibration of Functionally Graded Beams and Plates

by Snehashish Chakraverty Ph.D., Karan Kumar Pradhan

Overview

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.

Product Details

ISBN-13:	9780128042281
Publisher:	Elsevier Science
Publication date:	01/27/2016
Pages:	248
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Dr. Snehashish Chakraverty has over thirty years of experience as a teacher and researcher. Currently, he is a Senior Professor in the Department of Mathematics (Applied Mathematics Group) at the National Institute of Technology Rourkela, Odisha, India. He has a Ph.D. from IIT Roorkee in Computer Science. Thereafter he did his post-doctoral research at Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K. and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill Universities, Canada, and visiting professor at the University of Johannesburg, South Africa. He has authored/co-authored 14 books, published 315 research papers in journals and conferences, and has four more books in development. Dr. Chakraverty is on the Editorial Boards of various International Journals, Book Series and Conferences. Dr. Chakraverty is the Chief Editor of the International Journal of Fuzzy Computation and Modelling (IJFCM), Associate Editor of Computational Methods in Structural Engineering, Frontiers in Built Environment, and is the Guest Editor for several other journals. He was the President of the Section of Mathematical sciences (including Statistics) of the Indian Science Congress. His present research area includes Differential Equations (Ordinary, Partial and Fractional), Soft Computing and Machine Intelligence (Artificial Neural Network, Fuzzy and Interval Computations), Numerical Analysis, Mathematical Modeling, Uncertainty Modelling, Vibration and Inverse Vibration Problems.

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.

Table of Contents

1. Introduction2. Origin and basics of functionally graded structural members2.1. History of FG materials2.2. Variation of material properties (power-law and exponential laws)3. Analytical and numerical methods3.1. History of various methods3.2. Analytical Methods3.3. Computational procedure of numerical method(s)4. Functionally graded beams4.1. Power-law variation4.2. Shear deformation beam theories4.3. Kinematic relations 4.4. Vibration of FG beams5. Functionally graded plates5.1. Power-law and exponential law variation5.2. Classical plate theory5.3. Kinematic relations6. Vibration of rectangular FG plates 6.1. Power-law variation6.2. Exponential law variation7. Vibration of circular and elliptic FG plates 8. Vibration of triangular FG plates 9. Functionally graded plates with complicating effects9.1. Thermal environments9.2. Elastic foundations9.3. Piezoelectricity10. Practical examples and experimental studies

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From the Publisher

This comprehensive book on functionally graded beams and plates uses the latest numerical investigation techniques to describe the vibration characteristics of these types of beams and plates, which are of particular interest to industries such as nuclear power, aerospace, and automotive engineering