Frameworks Tensegrities And Symmetry

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Frameworks Tensegrities And Symmetry
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Author : Robert Connelly
language : en
Publisher: Cambridge University Press
Release Date : 2022-01-27
Frameworks Tensegrities And Symmetry written by Robert Connelly and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-27 with Mathematics categories.
This introduction to the theory of rigid structures explains how to analyze the performance of built and natural structures under loads, paying special attention to the role of geometry. The book unifies the engineering and mathematical literatures by exploring different notions of rigidity - local, global, and universal - and how they are interrelated. Important results are stated formally, but also clarified with a wide range of revealing examples. An important generalization is to tensegrities, where fixed distances are replaced with 'cables' not allowed to increase in length and 'struts' not allowed to decrease in length. A special feature is the analysis of symmetric tensegrities, where the symmetry of the structure is used to simplify matters and allows the theory of group representations to be applied. Written for researchers and graduate students in structural engineering and mathematics, this work is also of interest to computer scientists and physicists.
Frameworks Tensegrities And Symmetry
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Author : Robert Connelly
language : en
Publisher: Cambridge University Press
Release Date : 2022-01-27
Frameworks Tensegrities And Symmetry written by Robert Connelly and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-27 with Mathematics categories.
Why don't things fall down? Engineering meets mathematics in this introduction to the geometry of rigid and flexible structures.
Tensegrity Systems
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Author : Fernando Fraternali
language : en
Publisher: Springer Nature
Release Date : 2025-03-06
Tensegrity Systems written by Fernando Fraternali and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-06 with Technology & Engineering categories.
This book illustrates the unique mechanical behaviors of tensegrity systems and their applications in mechanical metamaterials, space structures, and biomechanical models. It demonstrates that by controlling the mechanical response of tensegrity structures through internal and external prestress, it is possible to adjust the speed of mechanical waves within these systems, creating tunable bandgap structures. Furthermore, the geometrically nonlinear response exhibited by several tensegrity systems allows for the support of either compression or rarefaction solitary wave dynamics. These behaviors can be effectively utilized to design novel devices capable of focusing mechanical waves in narrow regions of space, as well as innovative impact protection systems. After an introduction to the basic concepts and calculation methods for tensegrity systems and their minimal-mass design, the chapters explore the metamaterial behaviors of tensegrity systems associated with bandgap and solitary wave dynamics; present a mechanical model of flexible tensegrities, illustrating how harnessing the buckling of bars in such systems can result in structures with exceptional energy absorption capabilities, suitable for applications such as planetary landers or lattice metamaterials; and discuss the extreme mechanical behaviors achievable in tensegrity-inspired lattice structures exhibiting both soft and stiff deformation modes. The last chapters address the multifaceted field of biotensegrity, and provide an overview of current rapid prototyping techniques for tensegrity systems, along with a discussion of open questions and research opportunities in the field.
Rigidity And Symmetry
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Author : Robert Connelly
language : en
Publisher: Springer
Release Date : 2014-06-11
Rigidity And Symmetry written by Robert Connelly and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-11 with Mathematics categories.
This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. The volume will be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as post docs, structural engineers and chemists.
Handbook Of Discrete And Computational Geometry
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Author : Csaba D. Toth
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Handbook Of Discrete And Computational Geometry written by Csaba D. Toth and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Computers categories.
The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Current Perspectives And New Directions In Mechanics Modelling And Design Of Structural Systems
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Author : Alphose Zingoni
language : en
Publisher: CRC Press
Release Date : 2022-09-02
Current Perspectives And New Directions In Mechanics Modelling And Design Of Structural Systems written by Alphose Zingoni and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-02 with Technology & Engineering categories.
Current Perspectives and New Directions in Mechanics, Modelling and Design of Structural Systems comprises 330 papers that were presented at the Eighth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2022, Cape Town, South Africa, 5-7 September 2022). The topics featured may be clustered into six broad categories that span the themes of mechanics, modelling and engineering design: (i) mechanics of materials (elasticity, plasticity, porous media, fracture, fatigue, damage, delamination, viscosity, creep, shrinkage, etc); (ii) mechanics of structures (dynamics, vibration, seismic response, soil-structure interaction, fluid-structure interaction, response to blast and impact, response to fire, structural stability, buckling, collapse behaviour); (iii) numerical modelling and experimental testing (numerical methods, simulation techniques, multi-scale modelling, computational modelling, laboratory testing, field testing, experimental measurements); (iv) design in traditional engineering materials (steel, concrete, steel-concrete composite, aluminium, masonry, timber); (v) innovative concepts, sustainable engineering and special structures (nanostructures, adaptive structures, smart structures, composite structures, glass structures, bio-inspired structures, shells, membranes, space structures, lightweight structures, etc); (vi) the engineering process and life-cycle considerations (conceptualisation, planning, analysis, design, optimization, construction, assembly, manufacture, maintenance, monitoring, assessment, repair, strengthening, retrofitting, decommissioning). Two versions of the papers are available: full papers of length 6 pages are included in the e-book, while short papers of length 2 pages, intended to be concise but self-contained summaries of the full papers, are in the printed book. This work will be of interest to civil, structural, mechanical, marine and aerospace engineers, as well as planners and architects.
Habitability Of The Universe Before Earth
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Author :
language : en
Publisher: Academic Press
Release Date : 2017-12-11
Habitability Of The Universe Before Earth written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-11 with Science categories.
Habitability of the Universe before Earth: Astrobiology: Exploring Life on Earth and Beyond (series) examines the times and places—before life existed on Earth—that might have provided suitable environments for life to occur, addressing the question: Is life on Earth de novo, or derived from previous life? The universe changed considerably during the vast epoch between the Big Bang 13.8 billion years ago and the first evidence of life on Earth 4.3 billion years ago, providing significant time and space to contemplate where, when and under what circumstances life might have arisen. No other book covers this cosmic time period from the point of view of its potential for life. The series covers a broad range of topics encompassing laboratory and field research into the origins and evolution of life on Earth, life in extreme environments and the search for habitable environments in our solar system and beyond, including exoplanets, exomoons and astronomical biosignatures. - Provides multiple hypotheses on the origin of life and distribution of living organisms in space - Explores the diversity of physical environments that may support the origin and evolution of life - Integrates contemporary views in biology and cosmology, and provides reasons that life is far more mobile in space than most people expect - Includes access to a companion web site featuring supplementary information such as animated computer simulations
Origin Of Life Via Archaea
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Author : Richard Gordon
language : en
Publisher: John Wiley & Sons
Release Date : 2024-10-01
Origin Of Life Via Archaea written by Richard Gordon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-01 with Science categories.
This book surveys the models for the origin of life and presents a new model starting with shaped droplets and ending with life as polygonal Archaea; it collects the most published micrographs of Archaea (discovered only in 1977), which support this conclusion, and thus provides the first visual survey of Archaea. Origin of Life via Archaea’s purpose is to add a new hypothesis on what are called “shaped droplets”, as the starting point, for flat, polygonal Archaea, supporting the Vesicles First hypothesis. The book contains over 6000 distinct references and micrographs of 440 extant species of Archaea, 41% of which exhibit polygonal phenotypes. It surveys the intellectual battleground of the many ideas of the origin of life on earth, chemical equilibrium, autocatalysis, and biotic polymers. This book contains 17 chapters, some coauthored, on a wide range of topics on the origin of life, including Archaea’s origin, patterns, and species. It shows how various aspects of the origin of life may have occurred at chemical equilibrium, not requiring an energy source, contrary to the general assumption. For the reader’s value, its compendium of Archaea micrographs might also serve many other interesting questions about Archaea. One chapter presents a theory for the shape of flat, polygonal Archaea in terms of the energetics at the surface, edges and corners of the S-layer. Another shows how membrane peptides may have originated. The book also includes a large table of most extant Archaea, that is searchable in the electronic version. It ends with a chapter on problems needing further research. Audience This book will be used by astrobiologists, origin of life biologists, physicists of small systems, geologists, biochemists, theoretical and vesicle chemists.
Cooperative Coordination And Formation Control For Multi Agent Systems
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Author : Zhiyong Sun
language : en
Publisher: Springer
Release Date : 2018-02-23
Cooperative Coordination And Formation Control For Multi Agent Systems written by Zhiyong Sun and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-23 with Technology & Engineering categories.
The thesis presents new results on multi-agent formation control, focusing on the distributed stabilization control of rigid formation shapes. It analyzes a range of current research problems such as problems concerning the equilibrium and stability of formation control systems, or the problem of cooperative coordination control when agents have general dynamical models, and discusses practical considerations arising during the implementation of established formation control algorithms. In addition, the thesis presents models of increasing complexity, from single integrator models, to double integrator models, to agents modeled by nonlinear kinematic and dynamic equations, including the familiar unicycle model and nonlinear system equations with drift terms. Presenting the fruits of a close collaboration between several top control groups at leading universities including Yale University, Groningen University, Purdue University and Gwangju Institute of Science and Technology (GIST), the thesis spans various research areas, including robustness issues in formations, quantization-based coordination, exponential stability in formation systems, and cooperative coordination of networked heterogeneous systems.
Tensegrity
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Author : René Motro
language : en
Publisher: Elsevier
Release Date : 2003-06-01
Tensegrity written by René Motro and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-01 with Technology & Engineering categories.
The word tensegrity results from the contraction of 'tensional' and 'integrity', a word created by Richard Buckminster Fuller. He went on to describe tensegrity structures as 'islands of compression in an ocean of tension', and René Motro has developed a comprehensive definition which is 'systems in a stable self equilibriated system comprising a discontinuous set of compressed components inside a continuum of tensioned components'. This publication represents the life work of a leading exponent of a revolutionary and exciting method of structural design.* Represents the life work of a leading exponent of a revolutionary and exciting method of structural design* Applicable to architecture as an established structural system, can also be applied to other fields* Design professionals will be able to design better structures. Interested non-professionals will experience the great pleasure of being able to say "I understand why the Hisshorn tower stands up"