Subrat Kumar Jena's Books

Structural Dynamics in Uncertain Environments

Micro, Nano, and Functionally Graded Beam Analysis

By: Subrat Kumar Jena,S. Chakraverty

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Structural Dynamics in Uncertain Environments

Micro, Nano, and Functionally Graded Beam Analysis

By: Subrat Kumar Jena,S. Chakraverty

The uncertainties or randomness of the material properties of structural components are of serious concern to engineers. Structural analysis is usually done by taking into account only deterministic or crisp parameters; however, building materials can have the aspects of uncertainty. The causes of this uncertainty or randomness are defects in atomic configurations, measurement errors, environmental conditions, and other factors. The influence of uncertainties is more profound for nanoscale and microstructures due to their small-scale effects. Several nanoscale experiments and molecular dynamics studies also support the claim of possible attachment of randomness for various parameters. With regard to these concerns, it is necessary to propose new models that specifically integrate and effectively overcome imprecisely defined parameters of the system. Structural Dynamics in Uncertain Environments presents the uncertainty modeling of nanobeams, microbeams, and Funtionally Graded (FG) beams using non-probabilistic approaches which include interval and fuzzy concepts. Vibration and stability analyses of the beams are conducted using different analytical, semi-analytical, and numerical methods for finding exact and/or approximate solutions of governing equations arising in uncertain environments. In this context, this book addresses structural uncertainties and investigates the dynamic behavior of micro-, nano-, and FG beams. Examines the concepts of fuzzy uncertain environments in structural dynamics Presents comprehensive analysis of propagation of uncertainty in vibration and buckling analyses Explains efficient mathematical methods to handle uncertainties in the governing equations

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Page Count

162

Publisher

CRC Press

Published Date

ISBN 10

1040154727

ISBN 13

9781040154724

Time-Fractional Order Biological Systems with Uncertain Parameters

By: Snehashish Chakraverty,Rajarama Mohan Jena,Subrat Kumar Jena

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Time-Fractional Order Biological Systems with Uncertain Parameters

By: Snehashish Chakraverty,Rajarama Mohan Jena,Subrat Kumar Jena

The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering. It is a generalization of ordinary differentiation and integration to arbitrary (non-integer) order. The fractional derivative has been used in various physical problems, such as frequency-dependent damping behavior of structures, biological systems, motion of a plate in a Newtonian fluid, λμ controller for the control of dynamical systems, and so on. It is challenging to obtain the solution (both analytical and numerical) of related nonlinear partial differential equations of fractional order. So for the last few decades, a great deal of attention has been directed towards the solution for these kind of problems. Different methods have been developed by other researchers to analyze the above problems with respect to crisp (exact) parameters. However, in real-life applications such as for biological problems, it is not always possible to get exact values of the associated parameters due to errors in measurements/experiments, observations, and many other errors. Therefore, the associated parameters and variables may be considered uncertain. Here, the uncertainties are considered interval/fuzzy. Therefore, the development of appropriate efficient methods and their use in solving the mentioned uncertain problems are the recent challenge. In view of the above, this book is a new attempt to rigorously present a variety of fuzzy (and interval) time-fractional dynamical models with respect to different biological systems using computationally efficient method. The authors believe this book will be helpful to undergraduates, graduates, researchers, industry, faculties, and others throughout the globe.

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Page Count

144

Publisher

Springer Nature

Published Date

ISBN 10

3031024230

ISBN 13

9783031024238

Computational Fractional Dynamical Systems

Fractional Differential Equations and Applications

By: Snehashish Chakraverty,Rajarama M. Jena,Subrat K. Jena

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Computational Fractional Dynamical Systems

Fractional Differential Equations and Applications

By: Snehashish Chakraverty,Rajarama M. Jena,Subrat K. Jena

Computational Fractional Dynamical Systems A rigorous presentation of different expansion and semi-analytical methods for fractional differential equations Fractional differential equations, differential and integral operators with non-integral powers, are used in various science and engineering applications. Over the past several decades, the popularity of the fractional derivative has increased significantly in diverse areas such as electromagnetics, financial mathematics, image processing, and materials science. Obtaining analytical and numerical solutions of nonlinear partial differential equations of fractional order can be challenging and involve the development and use of different methods of solution. Computational Fractional Dynamical Systems: Fractional Differential Equations and Applications presents a variety of computationally efficient semi-analytical and expansion methods to solve different types of fractional models. Rather than focusing on a single computational method, this comprehensive volume brings together more than 25 methods for solving an array of fractional-order models. The authors employ a rigorous and systematic approach for addressing various physical problems in science and engineering. Covers various aspects of efficient methods regarding fractional-order systems Presents different numerical methods with detailed steps to handle basic and advanced equations in science and engineering Provides a systematic approach for handling fractional-order models arising in science and engineering Incorporates a wide range of methods with corresponding results and validation Computational Fractional Dynamical Systems: Fractional Differential Equations and Applications is an invaluable resource for advanced undergraduate students, graduate students, postdoctoral researchers, university faculty, and other researchers and practitioners working with fractional and integer order differential equations.

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Page Count

276

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119696992

ISBN 13

9781119696995

Computational Nanostructural Dynamics

By: Snehashish Chakraverty,Subrat Kumar Jena,Rajarama Mohan Jena

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Computational Nanostructural Dynamics

By: Snehashish Chakraverty,Subrat Kumar Jena,Rajarama Mohan Jena

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. Outlines the computational methods in nanostructural dynamics Discusses the major challenges for using a variety of computational methods for nanostructure analysis Explains the different computational analysis methods used for different types of nanomaterial

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Page Count

240

Publisher

Elsevier

Published Date

ISBN 10

0128219998

ISBN 13

9780128219997

Time-Fractional Order Biological Systems with Uncertain Parameters

By: Snehashish Chakraverty,Rajarama Mohan Jena,Subrat Kumar Jena

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Time-Fractional Order Biological Systems with Uncertain Parameters

By: Snehashish Chakraverty,Rajarama Mohan Jena,Subrat Kumar Jena

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Page Count

144

Publisher

Springer Nature

Published Date

ISBN 10

3031024230

ISBN 13

9783031024238

Structural Dynamics in Uncertain Environments

Micro, Nano, and Functionally Graded Beam Analysis

By: Subrat Kumar Jena,S. Chakraverty

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Structural Dynamics in Uncertain Environments

Micro, Nano, and Functionally Graded Beam Analysis

By: Subrat Kumar Jena,S. Chakraverty

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Write a review

Solve jigsaw puzzle

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Page Count

162

Publisher

CRC Press

Published Date

ISBN 10

1040154727

ISBN 13

9781040154724

Book's by Subrat Kumar Jena

Structural Dynamics in Uncertain Environments

Structural Dynamics in Uncertain Environments

Time-Fractional Order Biological Systems with Uncertain Parameters

Time-Fractional Order Biological Systems with Uncertain Parameters

Computational Fractional Dynamical Systems

Computational Fractional Dynamical Systems

Computational Nanostructural Dynamics

Computational Nanostructural Dynamics

Time-Fractional Order Biological Systems with Uncertain Parameters

Time-Fractional Order Biological Systems with Uncertain Parameters

Structural Dynamics in Uncertain Environments

Structural Dynamics in Uncertain Environments

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