Download or read book Discrete Mechanics A Unified Approach written by H. Kardestuncer and published by Springer. This book was released on 2014-05-04 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete Mechanics a Unified Approach written by H. Kardestuncer and published by . This book was released on 2014-09-01 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete Mechanics written by Hayrettin Kardestuncer and published by Springer. This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book DISCRETE MECHANICS A UNIFIED APPROACH written by KARDESTUNCER Hayrettin and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete Mathematics written by Stephen A. Wiitala and published by McGraw-Hill Companies. This book was released on 1987 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete Mechanics written by Jean-Paul Caltagirone and published by John Wiley & Sons. This book was released on 2019-01-24 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discrete vision of mechanics is based on the founding ideas of Galileo and the principles of relativity and equivalence, which postulate the equality between gravitational mass and inertial mass. To these principles are added the Hodge–Helmholtz decomposition, the principle of accumulation of constraints and the hypothesis of the duality of physical actions. These principles make it possible to establish the equation of motion based on the conservation of acceleration considered as an absolute quantity in a local frame of reference, in the form of a sum of the gradient of the scalar potential and the curl of the vector potential. These potentials, which represent the constraints of compression and rotation, are updated from the discrete operators. Discrete Mechanics: Concepts and Applications shows that this equation of discrete motion is representative of the compressible or incompressible flows of viscous or perfect fluids, the state of stress in an elastic solid or complex fluid and the propagation of nonlinear waves.
Download or read book Introduction to Solid Mechanics written by Jacob Lubliner and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Solid Mechanics: An Integrated Approach presents for the first time in one text the concepts and processes covered in statics and mechanics of materials curricula following a granular, topically integrated approach. Since the turn of the millennium, it has become common in engineering schools to combine the traditional undergraduate offerings in rigid-body statics (usually called “statics”) and deformable body mechanics (known traditionally as “strength of materials” or, more recently, “mechanics of materials”) into a single, introductory course in solid mechanics. Many textbooks for the new course sequentially meld pieces of existing, discrete books--sometimes, but not always, acknowledging the origin--into two halves covering Statics and Mechanics of Materials. In this volume, Professors Lubliner and Papadopoulos methodically combine the essentials of statics and mechanics of materials, illustrating the relationship of concepts throughout, into one "integrated" text. Introduction to Solid Mechanics: An Integrated Perspective offers a holistic treatment of the depth and breadth of solid mechanics, proceeding from first principles to applications.
Download or read book Quasimolecular Modelling written by Donald Greenspan and published by World Scientific. This book was released on 1991 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author has tried to apply ?a little imagination and thinking? to modelling dynamical phenomena from a classical atomic and molecular point of view. Nonlinearity is emphasized, as are phenomena which are elusive from the continuum mechanics point of view. FORTRAN programs are provided in the Appendices.
Download or read book A Unified Approach to Continuous and Discrete Dynamics written by Bernd Aulbach and published by . This book was released on 1988 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Mechanics written by Peter Hansbo and published by . This book was released on 2025 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mechanics: Continuous and Discrete Models for Solids, Fluids and Structures offers a unified presentation of continuum mechanical models and their discrete counterparts, giving a deeper understanding of the relationship that exists between the main numerical methods, finite element methods, and finite volume methods, also presenting the advantages and shortcomings of each. This book shows, with the use of MATLAB code snippets, how to implement the methods described for all types of different problems, including linear and nonlinear, stationary and time dependent, and solids and fluids, all presented for the typical common finite element, finite volume, and time stepping methods. Contains derivation of continuous models and discrete models in a unified, mixed engineering/mathematical manner Presents numerical methods and their implementation in MATLAB Explores finite element methods, discontinuous finite element methods, and finite volume methods within the same framework
Download or read book Particle Modeling written by Donald Greenspan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Arithmetic Applied Mathematics written by Donald Greenspan and published by Elsevier. This book was released on 2016-06-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic Applied Mathematics deals with the deterministic theories of particle mechanics using a computer approach. Models of classical physical phenomena are formulated from both Newtonian and special relativistic mechanics with the aid only of arithmetic. The computational power of modern digital computers is highlighted, along with simple models of complex physical phenomena and solvable dynamical equations for both linear and nonlinear behavior. This book is comprised of nine chapters and opens by describing an experiment with gravity, followed by a discussion on the two basic types of forces that are important in classical physical modeling: long range forces and short range forces. Gravitation and molecular attraction and repulsion are considered, along with the basic concepts of position, velocity, and acceleration. The reader is then introduced to the N-body problem; conservative and non-conservative models of complex physical phenomena; foundational concepts of special relativity; and arithmetic special relativistic mechanics in one space dimension and three space dimensions. The final chapter is devoted to Lorentz invariant computations, with emphasis on the arithmetic modeling and analysis of a harmonic oscillator. This monograph will be of interest to mathematicians, physicists, and computer scientists.
Download or read book Structural Mechanics written by Alberto Carpinteri and published by CRC Press. This book was released on 2017-12-21 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete and unified treatment of the fundamental themes of structural mechanics, ranging from the traditional to the most advanced topics, covering mechanics of linear elastic solids, theory of beam systems, and phenomena of structural failure. The book considers explicitly all the static and kenetic operators of structural mechanics with their dual character. Topics relating to structural symmetry are covered in a single chapter while dynamics is dealt with at various points. The logical presentation allows the clear introduction of topics such as finite element methods, automatic calculation of framed beam systems, plate and shell theory, theory of plasticity, and fracture mechanics. Numerous worked examples, exercises with complete solutions and illustrations make it accessible both as a text for students and as a reference for research workers and practicing engineers.
Download or read book Unified Field Mechanics Ii Formulations And Empirical Tests Proceedings Of The Xth Symposium Honoring Noted French Mathematical Physicist Jean pierre Vigier written by Richard L Amoroso and published by World Scientific. This book was released on 2018-01-08 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory. UFM represents a developing paradigm shift with many new parameters extending the Standard Model to a 3rd regime of Natural Science beyond Quantum Mechanics. UFM is now experimentally testable, thus putatively able to demonstrate the existence of large-scale additional dimensionality (LSXD), test for QED violating phenomena and surmount the quantum uncertainty principle leading to a new 'Age of Discovery' paling all prior ages in the historical progression: Classical Mechanics (3D) to Quantum Mechanics (4D) and now to the birth of the 3rd regime of UFM in additional dimensionality correlating with M-Theory. Many still consider the Planck-scale as the 'basement of reality'. This could only be considered true under the limitations of the Standard Model. As we methodically enter the new regime a profound understanding of the multiverse and additional dimensionality beckons.
Download or read book Acta Numerica 2001 Volume 10 written by Arieh Iserles and published by Cambridge University Press. This book was released on 2001-08-23 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: An annual volume presenting substantive survey articles in numerical analysis and scientific computing.
Download or read book Discrete and Continuum Models for Complex Metamaterials written by Francesco dell'Isola and published by Cambridge University Press. This book was released on 2020-03-12 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Including a comprehensive bibliography and historical review of the field, and a pedagogical mathematical treatment, it is ideal for graduate students and researchers in mechanical and civil engineering, and materials science.
Download or read book Unification of Finite Element Methods written by H. Kardestuncer and published by Elsevier. This book was released on 2000-04-01 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unification of Finite Element Methods
