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 Jean-Paul Caltagirone and published by John Wiley & Sons. This book was released on 2019-01-23 with total page 277 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 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 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 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 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 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 Proceedings of the Eighth International Conference on Difference Equations and Applications written by Saber N. Elaydi and published by CRC Press. This book was released on 2005-04-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. These papers cover all important themes, conjectures, and open problems in the fields of discrete dynamical systems and ordinary and partial differen
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
Download or read book Proceedings of the Second International Conference on Structural Stability and Dynamics written by K. K. Ang and published by World Scientific. This book was released on 2003 with total page 1090 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICSSD 2002 is the second in the series of International Conferences on Structural Stability and Dynamics, which provides a forum for the exchange of ideas and experiences in structural stability and dynamics among academics, engineers, scientists and applied mathematicians. Held in the modern and vibrant city of Singapore, ICSSD 2002 provides a peep at the areas which experts on structural stability and dynamics will be occupied with in the near future. From the technical sessions, it is evident that well-known structural stability and dynamic theories and the computational tools have evolved to an even more advanced stage. Many delegates from diverse lands have contributed to the ICSSD 2002 proceedings, along with the participation of colleagues from the First Asian Workshop on Meshfree Methods and the International Workshop on Recent Advances in Experiments and Computations on Modeling of Heterogeneous Systems. Forming a valuable source for future reference, the proceedings contain 153 papers OCo including 3 keynote papers and 23 invited papers OCo contributed by authors from all over the world who are working in advanced multi-disciplinary areas of research in engineering. All these papers are peer-reviewed, with excellent quality, and cover the topics of structural stability, structural dynamics, computational methods, wave propagation, nonlinear analysis, failure analysis, inverse problems, non-destructive evaluation, smart materials and structures, vibration control and seismic responses.The major features of the book are summarized as follows: a total of 153 papers are included with many of them presenting fresh ideas and new areas of research; all papers have been peer-reviewed and are grouped into sections for easy reference; wide coverage of research areas is provided and yet there is good linkage with the central topic of structural stability and dynamics; the methods discussed include those that are theoretical, analytical, computational, artificial, evolutional and experimental; the applications range from civil to mechanical to geo-mechanical engineering, and even to bioengineering."
Download or read book Optical Metrology written by Olivério D.D. Soares and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optical Metrology is a rapidly expanding field i'n both its scientific foundations and technological developments, being of major concern to measurements, quality control, non-destructive tes ting and in fundamental research. In order to define the state-of-the-art, and to evaluate pre sent accomplishments, whilst giving an appraisal of how each of the particular topics will evolve the Optical Metrology-anAdvancedStudy Institute was organized with a concourse of the world's acknowledged experts. Thus, the Institute provided a forum for tutorial reviews blended with topics of current research in the form of a progressive and comprehensive presentation of recent promising developments, lea ding techniques and instrumentation in incoherent and coherent optics for Metrology, Sensing and Control in Science, Industry and Biomedici ne. Optical Metrology is a very broad field which is highly inter disciplinary in its applications, and in its scientific and technolo gical background. It is related to such diverse disciplines as physi cal and chemical sciences, engineering, electronics, computer scien ces, biological sciences and theoretical sciences, such as statistics. Although there was an emphasis on photomechanics and industri al applications, a marked diversity was reflected in the different background and interests of the participants. The vitality and viabi lity of the discipline was enhanced not only by the encouraging number of young scientists and industrialists participating and authoring, but also by the remarkably promising prospects found in x the practical applications supported by advanced electronic hybridi zation.
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 778 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 The Finite Element Method Its Basis and Fundamentals written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2013-08-31 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book's content to enable clearer development of the finite element method, with major new chapters and sections added to cover: - Weak forms - Variational forms - Multi-dimensional field problems - Automatic mesh generation - Plate bending and shells - Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. - A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development - Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience - Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1977 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes articles, as well as notes and other features, about mathematics and the profession.
Download or read book Large Strain Finite Element Method written by Antonio A. Munjiza and published by John Wiley & Sons. This book was released on 2015-02-16 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory approach to the subject of large strains and large displacements in finite elements. Large Strain Finite Element Method: A Practical Course, takes an introductory approach to the subject of large strains and large displacements in finite elements and starts from the basic concepts of finite strain deformability, including finite rotations and finite displacements. The necessary elements of vector analysis and tensorial calculus on the lines of modern understanding of the concept of tensor will also be introduced. This book explains how tensors and vectors can be described using matrices and also introduces different stress and strain tensors. Building on these, step by step finite element techniques for both hyper and hypo-elastic approach will be considered. Material models including isotropic, unisotropic, plastic and viscoplastic materials will be independently discussed to facilitate clarity and ease of learning. Elements of transient dynamics will also be covered and key explicit and iterative solvers including the direct numerical integration, relaxation techniques and conjugate gradient method will also be explored. This book contains a large number of easy to follow illustrations, examples and source code details that facilitate both reading and understanding. Takes an introductory approach to the subject of large strains and large displacements in finite elements. No prior knowledge of the subject is required. Discusses computational methods and algorithms to tackle large strains and teaches the basic knowledge required to be able to critically gauge the results of computational models. Contains a large number of easy to follow illustrations, examples and source code details. Accompanied by a website hosting code examples.
