Tag: Mechanics

Computational Mechanics of Arbitrarily Shaped Granular Materials


Free Download Computational Mechanics of Arbitrarily Shaped Granular Materials by Siqiang Wang , Shunying Ji
English | PDF EPUB (True) | 2024 | 240 Pages | ISBN : 981999926X | 129.2 MB
This book focuses on discrete element methods for arbitrarily shaped granular materials, including super-quadric models, spherical harmonic functions and level set methods, and numerical analysis of the flow characteristics of non-spherical granular materials. This book is used as a reference book for scientific researchers engaged in dynamic analysis of granular materials and optimal design of equipment structures in the fields of engineering mechanics, applied physics, mechanical engineering, and chemical engineering, as well as for graduate students or senior undergraduates of related majors in institutions of higher education.

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Bohmian Mechanics and Quantum Theory An Appraisal


Free Download Bohmian Mechanics and Quantum Theory: An Appraisal by James T. Cushing, Arthur Fine, Sheldon Goldstein
English | PDF | 1996 | 406 Pages | ISBN : 0792340280 | 42.6 MB
We are often told that quantum phenomena demand radical revisions of our scientific world view and that no physical theory describing well defined objects, such as particles described by their positions, evolving in a well defined way, let alone deterministically, can account for such phenomena. The great majority of physicists continue to subscribe to this view, despite the fact that just such a deterministic theory, accounting for all of the phe nomena of nonrelativistic quantum mechanics, was proposed by David Bohm more than four decades ago and has arguably been around almost since the inception of quantum mechanics itself. Our purpose in asking colleagues to write the essays for this volume has not been to produce a Festschrift in honor of David Bohm (worthy an undertaking as that would have been) or to gather together a collection of papers simply stating uncritically Bohm’s views on quantum mechanics. The central theme around which the essays in this volume are arranged is David Bohm’s version of quantum mechanics. It has by now become fairly standard practice to refer to his theory as Bohmian mechanics and to the larger conceptual framework within which this is located as the causal quantum theory program. While it is true that one can have reservations about the appropriateness of these specific labels, both do elicit distinc tive images characteristic of the key concepts of these approaches and such terminology does serve effectively to contrast this class of theories with more standard formulations of quantum theory.

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Anyons Quantum Mechanics of Particles with Fractional Statistics


Free Download Anyons: Quantum Mechanics of Particles with Fractional Statistics by Alberto Lerda
English | PDF | 1992 | 143 Pages | ISBN : 3662138980 | 6.2 MB
Particles with fractional statistics interpolating between bosons and fermions have attracted considerable interest from mathematical physicists. In recent years it has emerged that these so-called anyons have rather unexpected applications, such as the fractional Hall effect, anyonic excitations in films of liquid helium, and high-temrperature superconductivity. Furthermore, they are discussed also in the context of conformal field theories. This book is a systematic and pedagogical introduction that considers the subject of anyons from many different points of view. In particular, the author presents the relation of anyons to braid groups and Chern-Simons field theory and devotes three chapters to physical applications. The book, while being of interest to researchers, primarily addresses advanced students of mathematics and physics.

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Analytical Mechanics


Free Download Analytical Mechanics by J. L. Lagrange
English | PDF | 1997 | 634 Pages | ISBN : 0792343492 | 81.2 MB
to the English translation of Lagrange’s Mecanique Analytique Lagrange’s Mecanique Analytique appeared early in 1788 almost exactly one cen tury after the publication of Newton’s Principia Mathematica. It marked the culmination of a line of research devoted to recasting Newton’s synthetic, geomet ric methods in the analytic style of the Leibnizian calculus. Its sources extended well beyond the physics of central forces set forth in the Principia. Continental au thors such as Jakob Bernoulli, Daniel Bernoulli, Leonhard Euler, Alexis Clairaut and Jean d’Alembert had developed new concepts and methods to investigate problems in constrained interaction, fluid flow, elasticity, strength of materials and the operation of machines. The Mecanique Analytique was a remarkable work of compilation that became a fundamental reference for subsequent research in exact science. During the eighteenth century there was a considerable emphasis on extending the domain of analysis and algorithmic calculation, on reducing the dependence of advanced mathematics on geometrical intuition and diagrammatic aids. The analytical style that characterizes the Mecanique Analytique was evident in La grange’s original derivation in 1755 of the 8-algorithm in the calculus of variations. It was expressed in his consistent attempts during the 1770s to prove theorems of mathematics and mechanics that had previously been obtained synthetically. The scope and distinctiveness of his 1788 treatise are evident if one compares it with an earlier work of similar outlook, Euler’s Mechanica sive Motus Scientia Analyt 1 ice Exposita of 1736.

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Advances in Computational Mechanics and Applications OES 2023


Free Download Advances in Computational Mechanics and Applications: OES 2023 by Dimitrios Pavlou, Hojjat Adeli, José A. F. O. Correia, Nicholas Fantuzzi, Georgios C. Georgiou, Knut Erik Giljarhus, Yanyan Sha
English | PDF EPUB (True) | 2024 | 439 Pages | ISBN : 3031497902 | 155.9 MB
This book publishes the work presented at the 1st Olympiad in Engineering Science (OES 2023), an international congress and contest aiming to disseminate and evaluate the recent advances in Engineering Science. The book covers diverse domains of engineering. From Machine Learning applications in Thrust Bearings’ behavior to Optimization Techniques for space applications, each chapter presents innovative solutions to complex challenges. The Automatic Control section explores distributed intelligence in watercraft and supervisory control for manufacturing systems. In Data-Driven Engineering, simulations assess pedestrian comfort and model reconstruction. The Diagnostic-Prognostic Methods section delves into unbalance identification and steel truss bridge validation. Finally, Numerical and Analytical Methods in Engineering Mathematics cover everything from boundary integral methods to analytical solutions for fluid flows.

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A Mathematical Introduction to Fluid Mechanics


Free Download A Mathematical Introduction to Fluid Mechanics by Alexandre J. Chorin , Jerrold E. Marsden
English | PDF | 1993 | 180 Pages | ISBN : 0387979182 | 12.6 MB
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as weil as the clas sical techniques of applied mathematics. This renewal of interest, bothin research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high Ievel of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Seiences (AMS) series, whichwill focus on advanced textbooks and research Ievel monographs. Preface This book is based on a one-term coursein fluid mechanics originally taught in the Department of Mathematics of the U niversity of California, Berkeley, during the spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approximation procedures.

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