Localization And Solitary Waves In Solid Mechanics PDF Download
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Author: Alan R Champneys
Publisher: World Scientific
ISBN: 9814494623
Category : Science
Languages : en
Pages : 398
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Book Description
This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs. It has two intended audiences. For mathematicians and physicists it should provide useful new insights into a classical yet rapidly developing area of application of the rich subject of dynamical systems theory. For workers in structural and solid mechanics it introduces a new methodology for dealing with structural localization and the related topic of the generation of solitary waves. Applications range from classical problems such as the buckling of cylindrical shells, twisted rods and pipelines, to the folding of geological strata, the failure of sandwich structures and the propagation of solitary waves in suspended beam systems.
Author: J. Engelbrecht
Publisher: Springer Science & Business Media
ISBN: 9401588910
Category : Technology & Engineering
Languages : en
Pages : 197
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Book Description
At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.
Author:
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ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 400
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Category : Aquatic biology
Languages : en
Pages : 766
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Category : Physics
Languages : en
Pages : 934
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Author: University of Michigan
Publisher: UM Libraries
ISBN:
Category : Education, Higher
Languages : en
Pages : 164
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Book Description
Each number is the catalogue of a specific school or college of the University.
Author: Mohd Hafiz Mohd
Publisher: Frontiers Media SA
ISBN: 2832526659
Category : Science
Languages : en
Pages : 133
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Category : Hydrology
Languages : en
Pages : 810
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Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 852
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ISBN:
Category : Water
Languages : en
Pages : 660
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Author: R R Bowker Publishing
Publisher:
ISBN: 9780835240871
Category :
Languages : en
Pages : 1312
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