A Primer On The Kinematics Of Discrete Elastic Rods
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A Primer On The Kinematics Of Discrete Elastic Rods
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Author : M. Khalid Jawed
language : en
Publisher: Springer
Release Date : 2018-05-04
A Primer On The Kinematics Of Discrete Elastic Rods written by M. Khalid Jawed and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Technology & Engineering categories.
This primer discusses a numerical formulation of the theory of an elastic rod, known as a discrete elastic rod, that was recently developed in a series of papers by Miklós Bergou et al. Their novel formulation of discrete elastic rods represents an exciting new method to simulate and analyze the behavior of slender bodies that can be modeled using an elastic rod. The formulation has been extensively employed in computer graphics and is highly cited. In the primer, we provide relevant background from both discrete and classical differential geometry so a reader familiar with classic rod theories can appreciate, comprehend, and use Bergou et al.’s computational efficient formulation of a nonlinear rod theory. The level of coverage is suitable for graduate students in mechanics and engineering sciences.
Engineering Dynamics
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Author : Oliver M. O'Reilly
language : en
Publisher: Springer
Release Date : 2019-02-23
Engineering Dynamics written by Oliver M. O'Reilly and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-23 with Mathematics categories.
This Primer is intended to provide the theoretical background for the standard undergraduate, mechanical engineering course in dynamics. The book contains several worked examples and summaries and exercises at the end of each chapter to aid readers in their understanding of the material. Teachers who wish to have a source of more detailed theory for the course, as well as graduate students who need a refresher course on undergraduate dynamics when preparing for certain first year graduate school examinations, and students taking the course will find the work very helpful.
Bioinspired Sensing Actuation And Control In Underwater Soft Robotic Systems
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Author : Derek A. Paley
language : en
Publisher: Springer Nature
Release Date : 2020-11-06
Bioinspired Sensing Actuation And Control In Underwater Soft Robotic Systems written by Derek A. Paley and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-06 with Technology & Engineering categories.
This book includes representative research from the state‐of‐the‐art in the emerging field of soft robotics, with a special focus on bioinspired soft robotics for underwater applications. Topics include novel materials, sensors, actuators, and system design for distributed estimation and control of soft robotic appendages inspired by the octopus and seastar. It summarizes the latest findings in an emerging field of bioinspired soft robotics for the underwater domain, primarily drawing from (but not limited to) an ongoing research program in bioinspired autonomous systems sponsored by the Office of Naval Research. The program has stimulated cross‐disciplinary research in biology, material science, computational mechanics, and systems and control for the purpose of creating novel robotic appendages for maritime applications. The book collects recent results in this area.
Higher Gradient Materials And Related Generalized Continua
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2019-11-04
Higher Gradient Materials And Related Generalized Continua written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-04 with Technology & Engineering categories.
This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.
Engineering Dynamics
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Author : Oliver M. O'Reilly
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-25
Engineering Dynamics written by Oliver M. O'Reilly and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-25 with Mathematics categories.
This Primer is intended to provide the theoretical background for the standard undergraduate, mechanical engineering course in dynamics. The book contains several worked examples and summaries and exercises at the end of each chapter to aid readers in their understanding of the material. Teachers who wish to have a source of more detailed theory for the course, as well as graduate students who need a refresher course on undergraduate dynamics when preparing for certain first year graduate school examinations, and students taking the course will find the work very helpful.
A Primer In Elasticity
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Author : P. Podio-Guidugli
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
A Primer In Elasticity written by P. Podio-Guidugli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.
I want to thank R. L. Fosdick, M. E. Gurtin and W. O. Williams for their detailed criticism of the manuscript. I also thank F. Davi, M. Lembo, P. Nardinocchi and M. Vianello for valuable remarks prompted by their reading of one or another of the many previous drafts, from 1988 to date. Since it has taken me so long to bring this writing to its present form, many other colleagues and students have episodically offered useful comments and caught mistakes: a list would risk to be incomplete, but I am heartily grateful to them all. Finally, I thank V. Nicotra for skillfully transforming my hand sketches into book-quality figures. P. PODIO-GUIDUGLI Roma, April 2000 Journal of Elasticity 58: 1-104,2000. 1 P. Podio-Guidugli, A Primer in Elasticity. © 2000 Kluwer Academic Publishers. CHAPTER I Strain 1. Deformation. Displacement Let 8 be a 3-dimensional Euclidean space, and let V be the vector space associated with 8. We distinguish a point p E 8 both from its position vector p(p):= (p-o) E V with respect to a chosen origin 0 E 8 and from any triplet (~1, ~2, ~3) E R3 of coordinates that we may use to label p. Moreover, we endow V with the usual inner product structure, and orient it in one of the two possible manners. It then makes sense to consider the inner product a .
Approximate Theories Of Elastic Rods With Applications
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Author : Jeffrey Stephen Turcotte
language : en
Publisher:
Release Date : 1996
Approximate Theories Of Elastic Rods With Applications written by Jeffrey Stephen Turcotte and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
In this dissertation, approximate theories involving combinations of small and moderate strains and rotations for elastic rods are developed. Their usefulness is illustrated with several applications. The rod theory used to construct these theories is the directed (or Cosserat) rod theory developed by Green, Naghdi and several of their co-workers. The approximate theories which are developed in this dissertation are rendered properly invariant under arbitrary superposed rigid body motions by extending some recent work of Casey and Naghdi, and of O'Reilly. These extensions were developed to render the properly invariant theories more amenable to applications. The approximate theory that is the primary focus of this work is one involving small strain and moderate rotation. A parallel development for a directed surface was performed earlier by Naghdi and Vongsarnpigoon. Specifically, it is shown that there are considerable simplifications in the balance and constitutive laws as well as in the strain-displacement relations because of the assumptions made in this theory. p5
Elasticity And Geometry
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Author : Basile Audoly
language : en
Publisher: Oxford University Press
Release Date : 2010-06-24
Elasticity And Geometry written by Basile Audoly and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-24 with Mathematics categories.
We experience elasticity everywhere in everyday life. This book covers several modern aspects of the established field of elasticity theory, applying general methods of classical analysis including advanced nonlinear aspects to derive detailed solutions to specific problems. It can serve as an introduction to nonlinear methods in science.
Elasticity
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Author : Martin H. Sadd
language : en
Publisher: Elsevier
Release Date : 2010-08-04
Elasticity written by Martin H. Sadd and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-04 with Science categories.
Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. Contains exercises for student engagement as well as the integration and use of MATLAB Software Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
Math For The Digital Factory
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Author : Luca Ghezzi
language : en
Publisher: Springer
Release Date : 2017-10-30
Math For The Digital Factory written by Luca Ghezzi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Science categories.
This volume provides a unique collection of mathematical tools and industrial case studies in digital manufacturing. It addresses various topics, ranging from models of single production technologies, production lines, logistics and workflows to models and optimization strategies for energy consumption in production. The digital factory represents a network of digital models and simulation and 3D visualization methods for the holistic planning, realization, control and ongoing improvement of all factory processes related to a specific product. In the past ten years, all industrialized countries have launched initiatives to realize this vision, sometimes also referred to as Industry 4.0 (in Europe) or Smart Manufacturing (in the United States). Its main goals are • reconfigurable, adaptive and evolving factories capable of small-scale production • high-performance production, combining flexibility, productivity, precision and zero defects • energy and resource efficiency in manufacturing None of these goals can be achieved without a thorough modeling of all aspects of manufacturing together with a multi-scale simulation and optimization of process chains; in other words, without mathematics. To foster collaboration between mathematics and industry in this area the European Consortium for Mathematics in Industry (ECMI) founded a special interest group on Math for the Digital Factory (M4DiFa). This book compiles a selection of review papers from the M4DiFa kick-off meeting held at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin, Germany, in May 2014. The workshop aimed at bringing together mathematicians working on modeling, simulation and optimization with researchers and practitioners from the manufacturing industry to develop a holistic mathematical view on digital manufacturing. This book is of interest to practitioners from industry who want to learn about important mathematical concepts, as well as to scientists who want to find out about an exciting new area of application that is of vital importance for today’s highly industrialized and high-wage countries.