Download or read book Vibration Analysis of Carbon Nanotubes Using Continuum Model and Finite Element Model written by Hari Subramaniam and published by . This book was released on 2005 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of the thesis is to propose the methods of determining vibration behavior of carbon nanotubes (CNTs) using continuum models and finite element models. Secondary objective is to find the effect of van der Waals force on vibration of multiwalled carbon nanotubes . The study of vibration behavior of CNTs is important because of their potential engineering applications such as nano-mechanical resonators and tips of scanning probe instruments where they are subjected to mechanical vibrations. Continuum modeling is based on an elastic beam model. The interlayer van der Waals interactions are represented by Lennard- Jones potential. In finite element modeling, single walled nanotubes (SWNTs) are modeled as finite beam elements and multi-walled nanotubes (MWNTs) as finite solid elements. The interlayer van der Waals interactions are simulated by distributed springs. The proposed finite element approach and continuum approach for vibration analysis of CNTs are verified by comparing the results with experimental and analytical results available in the literature. The results from both continuum and finite element modeling show that the effect of van der Waals force on vibration of MWNTs are high for smaller aspect ratios irrespective of boundary conditions and number of layers; fixed nanotube than cantilever nanotube for the same dimensions ; five-walled nanotube than a double walled nanotube for the same aspect ratio.
Download or read book On Finite Element Vibration Analysis of Carbon Nanotubes written by Ishan Ali Khan and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter, a finite element formulation is proposed to study the natural frequencies of double-walled carbon nanotubes modeled as, both, local and nonlocal Euler-Bernoulli beams, coupled with van der Waals interaction forces. The formulation uses Galerkin-weighted residual approach and employs Hermite cubic polynomial function to derive the linear eigenvalue problem. Natural frequencies are found for clamped-free, clamped-clamped and simply supported-simply supported boundary conditions. The results are in good agreement with the formulations found in the literature. The effect of nonlocal factor on the natural frequencies of the system is found out by comparing local and nonlocal results. Additionally, the universality of the proposed model is proven by application to a double-elastic Euler-Bernoulli beam. This formulation paves way for Finite Element Method (FEM) analysis of multi-walled CNTs-either locally or nonlocally.
Download or read book Finite Element Modeling of Nanotube Structures written by Mokhtar Awang and published by Springer. This book was released on 2015-10-24 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new approach to modeling carbon structures such as graphene and carbon nanotubes using finite element methods, and addresses the latest advances in numerical studies for these materials. Based on the available findings, the book develops an effective finite element approach for modeling the structure and the deformation of grapheme-based materials. Further, modeling processing for single-walled and multi-walled carbon nanotubes is demonstrated in detail.
Download or read book Carbon Nanotube Reinforced Polymers written by Roham Rafiee and published by Elsevier. This book was released on 2017-10-06 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carbon Nanotube-Reinforced Polymers: From Nanoscale to Macroscale addresses the advances in nanotechnology that have led to the development of a new class of composite materials known as CNT-reinforced polymers. The low density and high aspect ratio, together with their exceptional mechanical, electrical and thermal properties, render carbon nanotubes as a good reinforcing agent for composites. In addition, these simulation and modeling techniques play a significant role in characterizing their properties and understanding their mechanical behavior, and are thus discussed and demonstrated in this comprehensive book that presents the state-of-the-art research in the field of modeling, characterization and processing. The book separates the theoretical studies on the mechanical properties of CNTs and their composites into atomistic modeling and continuum mechanics-based approaches, including both analytical and numerical ones, along with multi-scale modeling techniques. Different efforts have been done in this field to address the mechanical behavior of isolated CNTs and their composites by numerous researchers, signaling that this area of study is ongoing. - Explains modeling approaches to carbon nanotubes, together with their application, strengths and limitations - Outlines the properties of different carbon nanotube-based composites, exploring how they are used in the mechanical and structural components - Analyzes the behavior of carbon nanotube-based composites in different conditions
Download or read book Advances in Vibration Analysis Research written by Farzad Ebrahimi and published by BoD – Books on Demand. This book was released on 2011-04-04 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibrations are extremely important in all areas of human activities, for all sciences, technologies and industrial applications. Sometimes these Vibrations are useful but other times they are undesirable. In any case, understanding and analysis of vibrations are crucial. This book reports on the state of the art research and development findings on this very broad matter through 22 original and innovative research studies exhibiting various investigation directions. The present book is a result of contributions of experts from international scientific community working in different aspects of vibration analysis. The text is addressed not only to researchers, but also to professional engineers, students and other experts in a variety of disciplines, both academic and industrial seeking to gain a better understanding of what has been done in the field recently, and what kind of open problems are in this area.
Download or read book Perusal of the Finite Element Method written by Radostina Petrova and published by BoD – Books on Demand. This book was released on 2016-12-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) is a numerical technique for finding approximate solutions to different numerical problems. The practical applications of FEM are known as finite element analysis (FEA). FEA is a good choice for analyzing problems over complicated domains. The first three chapters of this book contribute to the development of new FE techniques by examining a few key hurdles of the FEM and proposing techniques to mitigate them. The next four chapters focus on the close connection between the development of a new technique and its implementation. Current state-of-the-art software packages for FEA allow the construction, refinement, and optimization of entire designs before manufacturing. This is convincingly demonstrated in the last three chapters of the book with examples from the field of biomechanical engineering. This book presents a current research by highlighting the vitality and potential of the finite elements for the future development of more efficient numerical techniques, new areas of application, and FEA's important role in practical engineering.
Download or read book Modeling of Carbon Nanotubes Graphene and their Composites written by Konstantinos I. Tserpes and published by Springer Science & Business Media. This book was released on 2013-10-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large part of the research currently being conducted in the fields of materials science and engineering mechanics is devoted to carbon nanotubes and their applications. In this process, modeling is a very attractive investigation tool due to the difficulties in manufacturing and testing of nanomaterials. Continuum modeling offers significant advantages over atomistic modeling. Furthermore, the lack of accuracy in continuum methods can be overtaken by incorporating input data either from experiments or atomistic methods. This book reviews the recent progress in continuum modeling of carbon nanotubes and their composites. The advantages and disadvantages of continuum methods over atomistic methods are comprehensively discussed. Numerical models, mainly based on the finite element method, as well as analytical models are presented in a comparative way starting from the simulation of isolated pristine and defected nanotubes and proceeding to nanotube-based composites. The ability of continuum methods to bridge different scales is emphasized. Recommendations for future research are given by focusing on what still continuum methods have to learn from the nano-scale. The scope of the book is to provide current knowledge aiming to support researchers entering the scientific area of carbon nanotubes to choose the appropriate modeling tool for accomplishing their study and place their efforts to further improve continuum methods.
Download or read book Atomistic based Finite Element Simulation of Carbon Nanotubes written by Yang Yang and published by . This book was released on 2008 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since first found in the form of multi-walled carbon nanotubes (MWNTs) by Iijima (1991), carbon nanotube (CNT) for its outstanding and unique properties have gained overwhelming attentions from across the spectrum of the science and engineering fields. CNTs are structurally perfect, small size, low density, high stiffness, high strength (Qian et al., 2002), and their electronic properties depend on the particular distortion as well as the initial tube diameter and chirality, ranging from narrow-gap or moderate-gap semiconducting to metallic (Pantano et al., 2004b), which can be utilized in nanoscale sensors and devices. These appealing characteristics provide strong drives for the possible applications of CNTs as a novel material. However, a sufficient understanding of the mechanics of CNTs and the effects of mechanical deformations on the electrical properties still remains obscure. In this study we focus on CNTs' mechanical responses to externally applied loads by implementing a new atomistic formulation-based finite element method. The skeleton of this new diagram lies in two facts, firstly it uses the subdivision scheme which can render a high-order smooth limit surface so that Kirchoff-love thin shell formulae could be applied, secondly the Born rule for space-filling crystals is used to link between the atomistic and the continuum deformations.
Download or read book Small scale Computational Vibration of Carbon Nanotubes Composite Structure written by Muzamal Hussain and published by CRC Press. This book was released on 2024-08-09 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents orthotropic vibration modeling and analysis of carbon nanotubes (CNTs) which be helpful in applications such as oscillators and in non-destructive testing, and also vibrations characteristics of armchair double-walled CNT by means of nonlocal elasticity shell model. The nonlocal shell model is established by inferring the nonlocal elasticity equations in to Kelvin’s theory, which is our particular motivation. The suggested method to investigate the solution of fundamental Eigen relations is wave propagation, which is a well-known and efficient technique to develop the fundamental frequency equations. The frequencies of three different types of SWCNTs are calculated. Also, the vibrations of the chiral single-walled carbon nanotube (SWCNTs) with non-local theory using wave propagation approach is investigated. It has been investigated that by increasing the nonlocal parameter decreases the frequencies and on increasing the aspect ratio increases the frequencies throughout the computation frequencies of clamped-free lower than that of clamped-clamped. Carbon nanotubes have a variety of applications because of their distinctive molecular structure and show unique electronic and mechanical properties because of their curvature. Nanotubes and micro-beams can be cited as one of the very applicable micro- and nano-structures in various systems, namely, sensing devices, communications and the quantum mechanics. The application of the tiny structures, specifically, carbon nanotubes in the sensors and actuators enforce the engineers to study vibrational properties of those structures experimentally and theoretically. In addition, they are utilized in different fields such as bioengineering, tissue engineering, computer engineering, optics, energy and environmental systems.
Download or read book The NASTRAN Theoretical Manual written by and published by . This book was released on 1970 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Synthesis Characterization and Finite Element Analysis of Carbon Nts written by Pandu Ratnakar and published by LAP Lambert Academic Publishing. This book was released on 2015-05-21 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: A RESEARCH BOOK ON SYNTHESIS, CHARACTERIZATION AND FINITE ELEMENT ANALYSIS OF CARBON NANOTUBES. The main objective of writing this book has been to give a clear understanding of the concepts, methods, and research studies of synthesis and characterization, and use of finite element simulations. The book is meant to be useful to the degree and research level students and for practicing engineers and active scientists with the ultimate goal of promoting the growing interest in this field. Chapter-1 introduces the concepts and background of nanomaterials and nanotechnology. Chapter-2 describes the researchers work in the nanotechnology developments, Chapter-3 gives methodology: synthesis, characterization techniques and finite element simulations and chapter-4 includes the synthesis and characterizations carbon nanotubes and Chapter-5 describes the finite element analyses of single walled carbon nanotubes. Chapter-6 details the finite element analyses of multi walled carbon nanotubes. Finally chapter-7 narrates the future scope of study for the nanotechnology.
Download or read book Mechanical Behaviors of Carbon Nanotubes written by K.M. Liew and published by William Andrew. This book was released on 2016-12-25 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanical Behaviors of Carbon Nanotubes: Theoretical and Numerical Approaches presents various theoretical and numerical studies on mechanical behaviors of carbon nanotubes. The main theoretical aspects included in the book contain classical molecular dynamics simulation, atomistic-continuum theory, atomic finite element method, continuum plate, nonlocal continuum plate, and shell models. Detailed coverage is also given to structural and elastic properties, trace of large deformation, buckling and post-buckling behaviors, fracture, vibration characteristics, wave propagation, and the most promising engineering applications. This book not only illustrates the theoretical and numerical methods for analyzing the mechanical behavior of carbon nanotubes, but also contains computational results from experiments that have already taken place. - Covers various theoretical and numerical studies, giving readers a greater understanding of the mechanical behavior of carbon nanotubes - Includes multiscale methods that provide the advantages of atomistic and continuum approaches, helping readers solve complex, large-system engineering problems - Allows engineers to create more efficient carbon nanotube structures and devices
Download or read book Characterization of Carbon Nanotube Based Composites under Consideration of Defects written by Moones Rahmandoust and published by Springer. This book was released on 2015-10-14 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the characterization methods involved with carbon nanotubes and carbon nanotube-based composites, with a more detailed look at computational mechanics approaches, namely the finite element method. Special emphasis is placed on studies that consider the extent to which imperfections in the structure of the nanomaterials affect their mechanical properties. These defects may include random distribution of fibers in the composite structure, as well as atom vacancies, perturbation and doping in the structure of individual carbon nanotubes.
Download or read book Evaluation of Mechanical Behavior of Single walled Carbon Nanotubes by Finite Element Analysis written by Xiaoxing Lu and published by . This book was released on 2011 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Primer on the Geometry of Carbon Nanotubes and Their Modifications written by Sadegh Imani Yengejeh and published by Springer. This book was released on 2015-01-12 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a comprehensive system for categorizing carbon nanotubes and their modifications in terms of nano sheets, nanotubes, microscopic and atomic modifications. In addition, the material and geometric properties of these nano-configurations are addressed. Lastly, it introduces a number of common software packages for geometry generation and several commercial finite element programs.
Download or read book Finite Element Analysis of Polymers and Composites written by Sathish Kumar Palaniappan and published by Elsevier. This book was released on 2024-08-30 with total page 821 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Analysis of Polymers and its Composites offers up-to-date and significant findings on the finite element analysis of polymers and its composite materials. It is important to point out, that to date, there are no books that have been published in this concept. Thus, academicians, researchers, scientists, engineers, and students in the similar field will benefit from this highly application-oriented book. This book summarizes the experimental, mathematical and numerical analysis of polymers and its composite materials through finite element method. It provides detailed and comprehensive information on mechanical properties, fatigue and creep behaviour, thermal behaviour, vibrational analysis, testing methods and their modeling techniques. In addition, this book lists the main industrial sectors in which polymers and its composite materials simulation is used, and their gains from it, including aeronautics, medical, aerospace, automotive, naval, energy, civil, sports, manufacturing and even electronics. Expands knowledge about the finite element analysis of polymers and composite materials to broaden application range Presents an extensive survey of recent developments in research Offers advancements of finite element analysis of polymers and composite materials Written by leading experts in the field Provides cutting-edge, up-to-date research on the characterization, analysis, and modeling of polymeric composite materials
Download or read book Linear Theory written by A. Cemal Eringen and published by Academic Press. This book was released on 2013-10-22 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastodynamics, Volume II: Linear Theory is a continuation of Volume I and discusses the dynamical theory of linear isotropic elasticity. The volume deals with the fundamental theorems regarding elastodynamics and the different mathematical methods of solution and their employment in one, two, and three dimensions. The text outlines the fundamentals of linear elastodynamics and explains basic equations, displacement formulation, stress formulation, and the uniqueness theorem of elastodynamics. The book also investigates elastodynamic problems involving one-space dimension in governing boundaries, equations, and initial conditions. The book then compares two-dimensional problems as being subject to more precise mathematical analysis compared to three-dimensional situations by using scalar wave equations. The text then analyzes elastodynamic problems in three space dimensions when the solution depends on the condition of separability of the vector wave equation and the satisfaction of the boundary conditions. The diffraction of elastic waves is also described using two approaches: the integral equation method or the Eigen function technique. The book can prove valuable to researchers and practitioners whose work involves advanced statistics, general physics, and thermodynamics.
