Dynamically Coupled Rigid Body-Fluid Flow Systems PDF Download
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Author: Banavara N. Shashikanth
Publisher: Springer Nature
ISBN: 3030826465
Category : Science
Languages : en
Pages : 192
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Book Description
This book presents a unified study of dynamically coupled systems involving a rigid body and an ideal fluid flow from the perspective of Lagrangian and Hamiltonian mechanics. It compiles theoretical investigations on the topic of dynamically coupled systems using a framework grounded in Kirchhoff’s equations. The text achieves a balance between geometric mechanics, or the modern theories of reduction of Lagrangian and Hamiltonian systems, and classical fluid mechanics, with a special focus on the applications of these principles. Following an introduction to Kirchhoff’s equations of motion, the book discusses several extensions of Kirchhoff’s work, particularly related to vortices. It addresses the equations of motions of these systems and their Lagrangian and Hamiltonian formulations. The book is suitable to mathematicians, physicists and engineers with a background in Lagrangian and Hamiltonian mechanics and theoretical fluid mechanics. It includes a brief introductory overview of geometric mechanics in the appendix.
Author: Banavara N. Shashikanth
Publisher: Springer Nature
ISBN: 3030826465
Category : Science
Languages : en
Pages : 192
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Book Description
This book presents a unified study of dynamically coupled systems involving a rigid body and an ideal fluid flow from the perspective of Lagrangian and Hamiltonian mechanics. It compiles theoretical investigations on the topic of dynamically coupled systems using a framework grounded in Kirchhoff’s equations. The text achieves a balance between geometric mechanics, or the modern theories of reduction of Lagrangian and Hamiltonian systems, and classical fluid mechanics, with a special focus on the applications of these principles. Following an introduction to Kirchhoff’s equations of motion, the book discusses several extensions of Kirchhoff’s work, particularly related to vortices. It addresses the equations of motions of these systems and their Lagrangian and Hamiltonian formulations. The book is suitable to mathematicians, physicists and engineers with a background in Lagrangian and Hamiltonian mechanics and theoretical fluid mechanics. It includes a brief introductory overview of geometric mechanics in the appendix.
Author: N.N. Moiseyev
Publisher: Springer Science & Business Media
ISBN: 364286452X
Category : Technology & Engineering
Languages : en
Pages : 358
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Book Description
The dynamics of bodies containing fluids is a subject of long-standing im portance in many technical applications. The stability of motion of such bodies, in particular, has been the subject of study by Soviet engineers and applied mathematicians who have brought their fuH powers of analysis to bear on the problem, and have succeeded in developing a very weH-founded body of theory. It is difficult to find a more striking example anywhere of the application of the classical methods of analytical mechanics, together with more modern concepts of stability analysis, in such a comprehensive and elegent form as that presented by Profs. Moiseyev and Rumyantsev. Therefore, it is highly significant that this recent monograph has been trans lated and made available to the English-speaking community. H. NORMAN ABRAMSON San Antonio July, 1967 v Foreword During the last 15-20 years, problems of dynamics of rigid bodies with fluid-filled cavities have increasingly attracted the attention of scientists.
Author: Brian Gerard Allan
Publisher:
ISBN:
Category :
Languages : en
Pages : 260
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Book Description
Author: Bashar S. Mohammed
Publisher: Springer Nature
ISBN: 9813363118
Category : Technology & Engineering
Languages : en
Pages : 1147
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Book Description
This book contains papers presented in the 6th International Conference on Civil, Offshore & Environmental Engineering (ICCOEE2020) under the banner of World Engineering, Science & Technology Congress (ESTCON2020) will be held from 13th to 15th July 2021 at Borneo Convention Centre, Kuching, Sarawak, Malaysia. This proceeding contains papers presented by academics and industrial practitioners showcasing the latest advancements and findings in civil engineering areas with an emphasis on sustainability and the Industrial Revolution 4.0. The papers are categorized under the following tracks and topics of research: 1. Resilient Structures and Smart Materials 2. Advanced Construction and Building Information Modelling 3. Smart and Sustainable Infrastructure 4. Advanced Coastal and Offshore Engineering 5. Green Environment and Smart Water Resource Management Systems
Author: Chih Ted Yang
Publisher: Springer
ISBN: 3319110233
Category : Technology & Engineering
Languages : en
Pages : 577
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Book Description
This book, Advances in Water Resources Engineering, Volume 14, covers the topics on watershed sediment dynamics and modeling, integrated simulation of interactive surface water and groundwater systems, river channel stabilization with submerged vanes, non-equilibrium sediment transport, reservoir sedimentation, and fluvial processes, minimum energy dissipation rate theory and applications, hydraulic modeling development and application, geophysical methods for assessment of earthen dams, soil erosion on upland areas by rainfall and overland flow, geofluvial modeling methodologies and applications, and environmental water engineering glossary.
Author: Alexey Borisov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311054444X
Category : Science
Languages : en
Pages : 533
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Book Description
This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler – Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids
Author: Davide Bigoni
Publisher: Springer
ISBN: 3319937227
Category : Science
Languages : en
Pages : 196
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Book Description
The book offers a unified view on classical results and recent advances in the dynamics of nonconservative systems. The theoretical fundamentals are presented systematically and include: Lagrangian and Hamiltonian formalism, non-holonomic constraints, Lyapunov stability theory, Krein theory of spectra of Hamiltonian systems and modes of negative and positive energy, anomalous Doppler effect, reversible systems, sensitivity analysis of non-self-adjoint operators, dissipation-induced instabilities, local and global instabilities. They are applied to engineering situations such as the coupled mode flutter of wings, flags and pipes, flutter in granular materials, piezoelectric mechanical metamaterials, wave dynamics of infinitely long structures, radiative damping, stability of high-speed trains, experimental realization of follower forces, soft-robot locomotion, wave energy converters, friction-induced instabilities, brake squeal, non-holonomic sailing, dynamics of moving continua, and stability of bicycles and walking robots. The book responds to a demand in the modern theory of nonconservative systems coming from the growing number of scientific and engineering disciplines including physics, fluid and solids mechanics, fluid-structure interactions, and modern multidisciplinary research areas such as biomechanics, micro- and nanomechanics, optomechanics, robotics, and material science. It is targeted at both young and experienced researchers and engineers working in fields associated with the dynamics of structures and materials. The book will help to get a comprehensive and systematic knowledge on the stability, bifurcations and dynamics of nonconservative systems and establish links between approaches and methods developed in different areas of mechanics and physics and modern applied mathematics.
Author: Craig Allen Schroeder
Publisher: Stanford University
ISBN:
Category :
Languages : en
Pages : 224
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Book Description
This thesis considers the numerical simulation of a variety of phenomena, particularly rigid bodies, deformable bodies, and incompressible fluids. We consider each of these simulations types in isolation, addressing challenges specific to each. We also address the problem of monolithic two-way coupling of each of these phenomena. First we address the stability of rigid body simulation with large time steps. We develop an energy correction for orientation evolution and another correction for collisions. In practice, we have found these two corrections to be sufficient to produce stable simulations. We also explore a simple scheme for rigid body fracture that is as inexpensive as prescoring rigid bodies but more flexible. Next we develop a method for simulating deformable but incompressible solids. Many constitutive models for deforming solids, such as the neo-Hookean model, break down in the incompressible limit. Simply enforcing incompressibility per tetrahedron leads to locking, where the mesh non-physically resists deformation. We present a method that uses a pressure projection similar to what is commonly used to simulate incompressible solids and apply it to deforming solids. We also address the complications that result from the interaction of this new force with contacts and collisions. Then, we turn to two coupling problems. The first problem is to couple deformable bodies to rigid bodies. We develop a fully-unified time integration scheme, where individual steps like collisions and contact are each fully two-way coupled. The resulting coupling scheme is monolithic with fully coupled linear systems. This leads to a robust and strongly coupled simulation framework. We use state-of-the-art integrators for rigid bodies and deformable bodies as the basis for the coupling scheme and maintain the ability to handle other phenomena, such as articulation and controllers on the rigid bodies and incompressibility on the deformable bodies. We follow this up by developing a scheme for coupling solids to incompressible fluids. The method handles both deformable bodies and rigid bodies. Unlike many existing methods for fluid structure interaction, which often typically lead to indefinite linear systems, the developed scheme results in a symmetric and positive definite (SPD) linear system. In addition to strongly coupling solids and fluids, the method also strongly couples viscosity with fluid pressure. This allows it to accurately treat simulations with high viscosity or where the primary coupling between solid and fluid is through fluid viscosity rather than fluid pressure. The method can be interpreted as a means of converting symmetric indefinite KKT systems with a particular form into SPD systems. Finally, we propose a method for applying implicit Lagrangian forces to an Eulerian Navier-Stokes simulation. We utilize the SPD framework to produce an SPD system with these implicit forces. We use this method to apply implicit surface tension forces. This implicit surface tension treatment reduces the tight time step restriction that normally accompanies explicit treatments of surface tension.
Author: John von Neumann-Institut für Computing
Publisher: Forschungszentrum Jülich
ISBN: 3893367586
Category :
Languages : en
Pages : 421
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Book Description
Author: K.J Bathe
Publisher: Elsevier
ISBN: 008052947X
Category : Technology & Engineering
Languages : en
Pages : 2485
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Book Description
Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features Bridges the gap between academic researchers and practitioners in industry Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis
