Computational Nanostructural Dynamics
Published on 1. September 2022
Book
Paperback/Softback
240 pages
978-0-12-821999-7 (ISBN)
Description
Nanomaterials possess special mechanical, electrical, and electronic properties. As a result, nanomaterials play a significant role in various nanoelectromechanical systems. Some of these materials include nanoparticles, nanowires, nanotubes, nanotube resonators, and nanoactuators. These structures are broadly utilized in civil, mechanical, and aerospace engineering. The dynamic analysis of nanostructures is important, because one must have knowledge about the mechanical behaviours to get an accurate prediction of dynamic characteristics. Conducting experiments at the nanoscale size is both complicated and expensive. Therefore, the development of appropriate mathematical models for the study of the dynamic behaviour of nanostructures is important. These models/problems are governed by linear/nonlinear differential equations which are not always possible to solve analytically. This deficiency compels us to search for numerical and computational methods. This book provides a detailed explanation of these methods.
Computational Nano Structural Dynamics presents several computational methods together in one place to investigate the dynamic characteristics of nanostructures. It includes different numerical methods to systematically handle basic and advanced equations arising in the dynamic study. This will help both materials scientists and engineers gain a greater understanding of how the properties of nanomaterials can best be exploited.
Computational Nano Structural Dynamics presents several computational methods together in one place to investigate the dynamic characteristics of nanostructures. It includes different numerical methods to systematically handle basic and advanced equations arising in the dynamic study. This will help both materials scientists and engineers gain a greater understanding of how the properties of nanomaterials can best be exploited.
More details
Series
Language
English
Place of publication
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 235 mm
Width: 191 mm
ISBN-13
978-0-12-821999-7 (9780128219997)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
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. Subrat Kumar Jena is Senior Research Fellow at the Department of Mathematics, National Institute of Technology Rourkela, India. His research focuses in the areas of structural dynamics, nano vibration, and computational methods analysis. Rajarama Mohan Jena is Senior Research Fellow in the Department of Mathematics (Applied Mathematics Group) at the National Institute of Technology Rourkela, Odisha, India. He has an M.Sc. in Applied Mathematics and Computing from the Indian Institute of Technology, Dhanbad, India. Rajarama's area of research interest includes Fractional Calculus, Partial Differential Equations, Numerical Analysis, Mathematical Modelling, and Uncertainty Modelling, and he has been assisting Dr. Chakraverty in various research projects relating to this book.
Author
Full Professor, Department of Mathematics, Applied Mathematics Group, National Institute of Technology Rourkela, Rourkela, Odisha, India
Senior Research Fellow, Department of Mathematics, National Institute of Technology Rourkela, India
Senior Research Fellow, Department of Mathematics (MA), National Institute of Technology Rourkela, India
Content
1. Introduction to Nanostructures2. Recent Trends in Nano Structural Dynamics and Numerical Methods3. Rayleigh-Ritz Method4. Boundary Characteristics Orthogonal Polynomials based Rayleigh Ritz Method5. Differential Quadrature Method based on Quan and Chang's Approach6. Generalized Differential Quadrature Method (GDQM)7. Harmonic Differential Quadrature Method (HDQM)8. Differential Transform Method (DTM)9. Galerkin's Method10. Least Square Method11. Haar Wavelet Method (HWM)12. Higher Order Haar Wavelet Method (HOHWM)13. Adomian decomposition method14. Navier's Method15. Finite Element Method (FEM)16. Comparison of Methods with Example