Vibration of Functionally Graded Beams and Plates
- 1st Edition - January 26, 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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Request a sales quoteVibration 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 26, 2016
- No. of pages (Paperback): 248
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9780128042281
- eBook ISBN: 9780128042700
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Snehashish Chakraverty
Snehashish Chakraverty has thirty-one 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 senior (Higher Administrative Grade) professor. Dr Chakraverty received his PhD in Mathematics from IIT-Roorkee in 1993. Thereafter, he did his post-doctoral research at the Institute of Sound and Vibration Research (ISVR), University of Southampton, UK, and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill Universities, Canada, during 1997–1999 and visiting professor at the University of Johannesburg, Johannesburg, South Africa, during 2011–2014. He has authored/co-authored/edited 33 books, published 482 research papers (till date) in journals and conferences. He was the president of the section of mathematical sciences of Indian Science Congress (2015–2016) and was the vice president of Orissa Mathematical Society (2011–2013). Prof. Chakraverty is a recipient of prestigious awards, viz. “Careers360 2nd Faculty Research Award” for the Most Outstanding Researcher in the country in the field of Mathematics, Indian National Science Academy (INSA) nomination under International Collaboration/Bilateral Exchange Program (with the Czech Republic), Platinum Jubilee ISCA Lecture Award (2014), CSIR Young Scientist Award (1997), BOYSCAST Fellow. (DST), UCOST Young Scientist Award (2007, 2008), Golden Jubilee Director’s (CBRI) Award (2001), INSA International Bilateral Exchange Award (2015), Roorkee University Gold Medals (1987, 1988) for first positions in MSc and MPhil (Computer Application). He is in the list of 2% world scientists (2020 to 2024) in the Artificial Intelligence and Image Processing category based on an independent study done by Stanford University scientists.
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