Discrete Mechanics A Unified Approach PDF Download
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Author: H. Kardestuncer
Publisher: Springer
ISBN: 3709143500
Category : Technology & Engineering
Languages : en
Pages : 57
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Book Description
Author: H. Kardestuncer
Publisher: Springer
ISBN: 3709143500
Category : Technology & Engineering
Languages : en
Pages : 57
Get Book Here
Book Description
Author: H. Kardestuncer
Publisher:
ISBN: 9783709143513
Category :
Languages : en
Pages : 64
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Book Description
Author: Jean-Paul Caltagirone
Publisher: John Wiley & Sons
ISBN: 1119575141
Category : Mathematics
Languages : en
Pages : 277
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Book Description
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.
Author: Donald Greenspan
Publisher: World Scientific
ISBN: 9789810207199
Category : Mathematics
Languages : en
Pages : 220
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Book Description
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.
Author: Hayrettin Kardestuncer
Publisher: Springer
ISBN: 9780387813790
Category : Calcul des variations
Languages : en
Pages : 0
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Book Description
Author: Donald Greenspan
Publisher: Springer Science & Business Media
ISBN: 1461219922
Category : Computers
Languages : en
Pages : 268
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Book Description
Author: Donald Greenspan
Publisher: Elsevier
ISBN: 1483138305
Category : Mathematics
Languages : en
Pages : 174
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Book Description
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.
Author: Richard L Amoroso
Publisher: World Scientific
ISBN: 9813232056
Category : Science
Languages : en
Pages : 652
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Book Description
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.
Author: H. Kardestuncer
Publisher: Elsevier
ISBN: 0080872050
Category : Mathematics
Languages : en
Pages : 371
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Book Description
Unification of Finite Element Methods
Author: Alberto Carpinteri
Publisher: CRC Press
ISBN: 1351990896
Category : Technology & Engineering
Languages : en
Pages : 782
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Book Description
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.
