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Author: A. Klarbring
Publisher: Springer Science & Business Media
ISBN: 1402048351
Category : Technology & Engineering
Languages : en
Pages : 214
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Book Description
This textbook on models and modeling in mechanics introduces a new unifying approach to applied mechanics: through the concept of the open scheme, a step-by-step approach to modeling evolves. The unifying approach enables a very large scope on relatively few pages: the book treats theories of mass points and rigid bodies, continuum models of solids and fluids, as well as traditional engineering mechanics of beams, cables, pipe flow and wave propagation.
Author: A. Klarbring
Publisher: Springer Science & Business Media
ISBN: 1402048351
Category : Technology & Engineering
Languages : en
Pages : 214
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Book Description
This textbook on models and modeling in mechanics introduces a new unifying approach to applied mechanics: through the concept of the open scheme, a step-by-step approach to modeling evolves. The unifying approach enables a very large scope on relatively few pages: the book treats theories of mass points and rigid bodies, continuum models of solids and fluids, as well as traditional engineering mechanics of beams, cables, pipe flow and wave propagation.
Author: Bernard Brogliato
Publisher: Springer Science & Business Media
ISBN: 1447105575
Category : Technology & Engineering
Languages : en
Pages : 565
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Book Description
Thank you for opening the second edition of this monograph, which is devoted to the study of a class of nonsmooth dynamical systems of the general form: ::i; = g(x,u) (0. 1) f(x, t) 2: 0 where x E JRn is the system's state vector, u E JRm is the vector of inputs, and the function f (-, . ) represents a unilateral constraint that is imposed on the state. More precisely, we shall restrict ourselves to a subclass of such systems, namely mechanical systems subject to unilateral constraints on the position, whose dynamical equations may be in a first instance written as: ii= g(q,q,u) (0. 2) f(q, t) 2: 0 where q E JRn is the vector of generalized coordinates of the system and u is an in put (or controller) that generally involves a state feedback loop, i. e. u= u(q, q, t, z), with z= Z(z, q, q, t) when the controller is a dynamic state feedback. Mechanical systems composed of rigid bodies interacting fall into this subclass. A general prop erty of systems as in (0. 1) and (0. 2) is that their solutions are nonsmooth (with respect to time): Nonsmoothness arises primarily from the occurence of impacts (or collisions, or percussions) in the dynamical behaviour, when the trajectories attain the surface f(x, t) = O. They are necessary to keep the trajectories within the subspace = {x : f(x, t) 2: O} of the system's state space.
Author: Alan B. Tayler
Publisher: Oxford University Press
ISBN: 9780198515593
Category : Language Arts & Disciplines
Languages : en
Pages : 292
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Book Description
This textbook demonstrates the power of mathematics in solving practical, scientific, and technical problems through mathematical modelling techniques. It has been designed specifically for final year undergraduate and graduate students, and springs from the author's extensive teaching experience. The text is combined with twenty-one carefully ordered problems taken from real situations, and students are encouraged to develop the skill of constructing their own models of new situations.
Author: Leonid I. Slepyan
Publisher: Springer Science & Business Media
ISBN: 3540480102
Category : Technology & Engineering
Languages : en
Pages : 588
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Book Description
Presenting the most important results, methods, and open questions, this book describes and compares advanced models in fracture mechanics. The author introduces the required mathematical technique, mainly the theory of analytical functions, from scratch.
Author: Ken H. Seto
Publisher: B & K Publishing House
ISBN: 9780964713604
Category : Mechanics
Languages : en
Pages : 187
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Book Description
Abstractive, holistic, weird, counterintuitive, spooky, duality, AD HOC, virtual particles & complex; these are terms that are frequently used to describe modern physics. The complexity of modern physics precludes a layperson from having a good understanding of the various processes of nature. This has been the limiting factor for people to appreciate the full beauty of nature. To cut through the immense complexity of modern physics, Ken H. Seto invented the PYRAMID TECHNIQUES for doing physics. With the PYRAMID TECHNIQUES, he was able to formulate a realistic present state of the universe. MODEL MECHANICS was the result of this formulation process. According to MODEL MECHANICS, the S-Particle is the only truly fundamental particle in the universe & space is occupied by a substance called the E-MATRIX. The motions of the S-Particles in the E-MATRIX give rise to all the other particles & all the forces of nature. Also, MODEL MECHANICS gives a realistic description of the origin of the universe, a connection between physics & God, a connection between physics & life processes & a unified theory for all the forces of nature. A QUOTATION FROM TONI E. WEAVER, PH.D "Modern physics is like a card game in which most of the cards in the deck are wild. MODEL MECHANICS eliminates the need for this wild scheme of doing physics. It gives us a realistic view of the physical world without resorting to abstractions & fudge factors." Available from: KHS Publishing, P.O. Box 275, Englewood, OH 45322-0275. or Call 1-800-519-0149. Home page:- http:\\www.erinet.com\kenseto.
Author: Rodney J. Baxter
Publisher: Elsevier
ISBN: 1483265943
Category : Science
Languages : en
Pages : 499
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Book Description
Exactly Solved Models in Statistical Mechanics
Author: Y. Ben-Haim
Publisher: Elsevier
ISBN: 1483290972
Category : Mathematics
Languages : en
Pages : 240
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Book Description
Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity to recognize that uncertainty exists, to learn to evaluate it rationally, and to incorporate it into design.This volume provides a timely and stimulating overview of the analysis of uncertainty in applied mechanics. It is not just one more rendition of the traditional treatment of the subject, nor is it intended to supplement existing structural engineering books. Its aim is to fill a gap in the existing professional literature by concentrating on the non-probabilistic model of uncertainty. It provides an alternative avenue for the analysis of uncertainty when only a limited amount of information is available. The first chapter briefly reviews probabilistic methods and discusses the sensitivity of the probability of failure to uncertain knowledge of the system. Chapter two discusses the mathematical background of convex modelling. In the remainder of the book, convex modelling is applied to various linear and nonlinear problems. Uncertain phenomena are represented throughout the book by convex sets, and this approach is referred to as convex modelling.This book is intended to inspire researchers in their goal towards further growth and development in this field.
Author: Martin H. Sadd
Publisher: Academic Press
ISBN: 0128116498
Category : Technology & Engineering
Languages : en
Pages : 432
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Book Description
Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries: kinematics of motion and deformation; force and stress measures; and general principles of mass, momentum and energy balance. The book then moves beyond other books by dedicating several chapters to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity. Linear multiple field problems of thermoelasticity, poroelasticity and electoelasticity are also presented. Discussion of nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials are also given. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. - Offers a thorough, concise and organized presentation of continuum mechanics formulation - Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems - Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study - Features extensive use of exercises, providing more material for student engagement and instructor presentation
Author: Petre P. Teodorescu
Publisher: Springer Science & Business Media
ISBN: 9048127645
Category : Science
Languages : en
Pages : 781
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Book Description
All phenomena in nature are characterized by motion. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion. In the study of a science of nature, mathematics plays an important rôle. Mechanics is the first science of nature which has been expressed in terms of mathematics, by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool. As it was already seen in the first two volumes of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, that is on its five principles, i.e.: the inertia, the forces action, the action and reaction, the independence of the forces action and the initial conditions principle, respectively. Other models, e.g., the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler’s laws brilliantly verify this model in case of velocities much smaller then the light velocity in vacuum.
Author: Sergio Albeverio
Publisher: Springer Science & Business Media
ISBN: 3642882013
Category : Science
Languages : en
Pages : 458
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Book Description
Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.
