Vibration of Functionally Graded Beams and Plates
- 1st Edition - January 27, 2016
- Imprint: Academic Press
- Authors: Snehashish Chakraverty, Karan Kumar Pradhan
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 0 4 2 2 8 - 1
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 0 4 2 7 0 - 0
Vibration of Functionally Graded Beams and Plates uses numerically efficient computational techniques to analyze vibration problems associated with FG beams and plates. Introduct… Read more
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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.
- 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
- 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
- Edition: 1
- Published: January 27, 2016
- Imprint: Academic Press
- Language: English
SC
Snehashish Chakraverty
Dr. Snehashish Chakraverty is a Senior Professor in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, with over 30 years of teaching and research experience. A gold medalist from the University of Roorkee (now IIT Roorkee), he earned his Ph.D. from IIT Roorkee and completed post-doctoral work at the University of Southampton (UK) and Concordia University (Canada). He has also served as a visiting professor in Canada and South Africa. Dr. Chakraverty has authored/edited 38 books and published over 495 research papers. His research spans differential equations (ordinary, partial, fractional), numerical and computational methods, structural and fluid dynamics, uncertainty modeling, and soft computing techniques. He has guided 27 Ph.D. scholars, with 10 currently under his supervision.
He has led 16 funded research projects and hosted international researchers through prestigious fellowships. Recognized in the top 2% of scientists globally (Stanford-Elsevier list, 2020–2024), he has received numerous awards including the CSIR Young Scientist Award, BOYSCAST Fellowship, INSA Bilateral Exchange, and IOP Top Cited Paper Awards. He is Chief Editor of International Journal of Fuzzy Computation and Modelling and serves on several international editorial boards.
Affiliations and expertise
HAG Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology Rourkela, Rourkela, Odisha, India. Differential Equations (ordinary, partial, and fractional), Numerical Analysis, Computational Methods, Structural Dynamics (FGM, Nano), Fluid Dynamics, Mathematical and Uncertainty Modelling, Soft Computing and Machine Intelligence (Artificial Neural Network, Fuzzy, Interval, and Affine Computations).KP
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, IndiaRead Vibration of Functionally Graded Beams and Plates on ScienceDirect