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.

Prof. S. Chakraverty has 30 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 Senior (Higher Administrative Grade) Professor. Prior to this, he was with CSIR-Central Building Research Institute, Roorkee, India. After completing Graduation from St. Columba's College (Ranchi University), his career started from the then University of Roorkee (currently Indian Institute of Technology Roorkee) and completed M. Sc. (Mathematics) and M. Phil. (Computer Applications) from there securing the first positions in the university. Dr. Chakraverty received his Ph.D. from IIT Roorkee in 1992. Thereafter, he completed his postdoctoral research at the Institute of Sound and Vibration Research (ISVR), University of Southampton, England 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 a visiting professor of the University of Johannesburg, South Africa, during 2011-2014. So far, he has authored/co-authored 21 books, published 374 research papers in journals and conferences; another book is in press and he is now writing two books. He is in the editorial boards of various international journals, book series and conferences. Prof. Chakraverty is the Chief Editor of International Journal of Fuzzy Computation and Modelling (IJFCM), Inderscience Publishers, Switzerland (http://www.inderscience.com/ijfcm), Associate Editor of the "Computational Methods in Structural Engineering¿ section of Frontiers in Built Environment and an editorial board member of Springer Nature Applied Sciences, IGI Research Insights Books, Springer Book Series of Modeling and Optimization in Science and Technologies, Coupled Systems Mechanics (Techno Press), Curved and Layered Structures (De Gruyter), Journal of Composites Science (MDPI), Engineering Research Express (IOP) and Applications and Applied Mathematics: An International Journal. He is also the reviewer of around 50 national and international journals of repute, and he was the president of the Section of Mathematical Sciences (including Statistics) 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 such as 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 Award (CBRI; 2001), INSA International Bilateral Exchange Award ([2010-11 (selected but could not undertake), 2015 (selected)], and Roorkee University gold medals (1987, 1988) for first positions in M.Sc. and M. Phil. (Comp. Appl.). He has so far guided 18 Ph.D. students and is guiding 9 students currently. Prof. Chakraverty has undertaken around 16 research projects as principle investigator funded by international and national agencies, with a total worth of about Rs.1.5 crores. A good number of international and national conferences, workshops, and training programs have also been organized by him. His present research area includes differential equations (ordinary, partial, and fractional), numerical analysis and computational methods, structural dynamics (FGM, Nano) and fluid dynamics, mathematical and uncertainty Modeling, soft computing and machine intelligence (artificial neural network, fuzzy, interval and affine computations).

1. Introduction to Nanostructures
2. Recent Trends in Nano Structural Dynamics and Numerical Methods
3. Rayleigh-Ritz Method
4. Boundary Characteristics Orthogonal Polynomials based Rayleigh Ritz Method
5. Differential Quadrature Method based on Quan and Chang's Approach
6. Generalized Differential Quadrature Method (GDQM)
7. Harmonic Differential Quadrature Method (HDQM)
8. Differential Transform Method (DTM)
9. Galerkin's Method
10. Least Square Method
11. Haar Wavelet Method (HWM)
12. Higher Order Haar Wavelet Method (HOHWM)
13. Adomian decomposition method
14. Navier's Method
15. Finite Element Method (FEM)
16. Comparison of Methods with Example