Modeling Nonlinear Problems in the Mechanics of Strings and Rods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling Nonlinear Problems in the Mechanics of Strings and Rods write by Oliver M. O'Reilly. This book was released on 2017-03-10. Modeling Nonlinear Problems in the Mechanics of Strings and Rods available in PDF, EPUB and Kindle. This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler’s theory of the elastica, Kirchhoff ’s theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students. This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.
A Primer on the Kinematics of Discrete Elastic Rods
A Primer on the Kinematics of Discrete Elastic Rods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Primer on the Kinematics of Discrete Elastic Rods write by M. Khalid Jawed. This book was released on 2018-05-04. A Primer on the Kinematics of Discrete Elastic Rods available in PDF, EPUB and Kindle. This primer discusses a numerical formulation of the theory of an elastic rod, known as a discrete elastic rod, that was recently developed in a series of papers by Miklós Bergou et al. Their novel formulation of discrete elastic rods represents an exciting new method to simulate and analyze the behavior of slender bodies that can be modeled using an elastic rod. The formulation has been extensively employed in computer graphics and is highly cited. In the primer, we provide relevant background from both discrete and classical differential geometry so a reader familiar with classic rod theories can appreciate, comprehend, and use Bergou et al.’s computational efficient formulation of a nonlinear rod theory. The level of coverage is suitable for graduate students in mechanics and engineering sciences.
Nonlinear Problems of Elasticity
Nonlinear Problems of Elasticity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Problems of Elasticity write by S.S Antman. This book was released on 2012-12-22. Nonlinear Problems of Elasticity available in PDF, EPUB and Kindle. The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.
Graph-Based Modelling in Science, Technology and Art
Graph-Based Modelling in Science, Technology and Art - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graph-Based Modelling in Science, Technology and Art write by Stanisław Zawiślak. This book was released on 2021-08-01. Graph-Based Modelling in Science, Technology and Art available in PDF, EPUB and Kindle. This book presents interdisciplinary, cutting-edge and creative applications of graph theory and modeling in science, technology, architecture and art. Topics are divided into three parts: the first one examines mechanical problems related to gears, planetary gears and engineering installations; the second one explores graph-based methods applied to medical analyses as well as biological and chemical modeling; and the third part includes various topics e.g. drama analysis, aiding of design activities and network visualisation. The authors represent several countries in Europe and America, and their contributions show how different, useful and fruitful the utilization of graphs in modelling of engineering systems can be. The book has been designed to serve readers interested in the subject of graph modelling and those with expertise in related areas, as well as members of the worldwide community of graph modelers.
IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems
IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems write by Ivana Kovacic. This book was released on 2019-07-24. IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems available in PDF, EPUB and Kindle. This is the proceedings of the IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems that was held in Novi Sad, Serbia, from July 15th to 19th, 2018. The appearance of nonlinear phenomena used to be perceived as dangerous, with a general tendency to avoid them or control them. This perception has led to intensive research using various approaches and tailor-made tools developed over decades. However, the Nonlinear Dynamics of today is experiencing a profound shift of paradigm since recent investigations rely on a different strategy which brings good effects of nonlinear phenomena to the forefront. This strategy has a positive impact on different fields in science and engineering, such as vibration isolation, energy harvesting, micro/nano-electro-mechanical systems, etc. Therefore, the ENOLIDES Symposium was devoted to demonstrate the benefits and to unlock the potential of exploiting nonlinear dynamical behaviour in these but also in other emerging fields of science and engineering. This proceedings is useful for researchers in the fields of nonlinear dynamics of mechanical systems and structures, and in Mechanical and Civil Engineering.
