Modeling Analysis And Control Of Dynamic Elastic Multi Link Structures
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Modeling Analysis And Control Of Dynamic Elastic Multi Link Structures
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Author : J.E. Lagnese
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modeling Analysis And Control Of Dynamic Elastic Multi Link Structures written by J.E. Lagnese and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The purpose of this monograph is threefold. First, mathematical models of the transient behavior of some or all of the state variables describing the motion of multiple-link flexible structures will be developed. The structures which we have in mind consist of finitely many interconnected flexible ele ments such as strings, beams, plates and shells or combinations thereof and are representative of trusses, frames, robot arms, solar panels, antennae, deformable mirrors, etc. , currently in use. For example, a typical subsys tem found in almost all aircraft and space vehicles consists of beam, plate and/or shell elements attached to each other in a rigid or flexible manner. Due to limitations on their weights, the elements themselves must be highly flexible, and due to limitations on their initial configuration (i. e. , before de ployment), those aggregates often have to contain several links so that the substructure may be unfolded or telescoped once it is deployed. The point of view we wish to adopt is that in order to understand completely the dynamic response of a complex elastic structure it is not sufficient to con to take into account the sider only its global motion but also necessary flexibility of individual elements and the interaction and transmission of elastic effects such as bending, torsion and axial deformations at junctions where members are connected to each other. The second object of this book is to provide rigorous mathematical analyses of the resulting models.
Modelling Analysis And Control Of Dynamic Elastic Multi Link Structures
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Author : J. Lagnese
language : en
Publisher: Boston : Birkhäuser
Release Date : 1994
Modelling Analysis And Control Of Dynamic Elastic Multi Link Structures written by J. Lagnese and has been published by Boston : Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.
A typical subsystem found in almost all aircraft and space vehicles consists of beam, plate and/or shell elements attached to each other in a rigid or flexible manner. Due to limitations on their weights, the elements themselves must be highly flexible, and due to limitations on their initial configuration (i.e., before deployment), those aggregates often have to contain several links so that the substructure may be unfolded or telescoped once it is deployed. The defining philosophy of this monograph is that in order to understand completely the dynamic response of such a complex elastic structure, it is not sufficient to consider only its global motion but also necessary to take into account the flexibility of individual elements and the interaction and transmission of elastic effects such as bending, torsion, and axial deformations at junctions where members are connected to each other.
Modelling Analysis And Control Of Dynamic Elastic Multi Link Structures
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Author : J. Lagnese
language : en
Publisher:
Release Date : 1994
Modelling Analysis And Control Of Dynamic Elastic Multi Link Structures written by J. Lagnese and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Distributed parameter systems categories.
Stability Of Elastic Multi Link Structures
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Author : Kaïs Ammari
language : en
Publisher: Springer Nature
Release Date : 2022-01-16
Stability Of Elastic Multi Link Structures written by Kaïs Ammari and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-16 with Mathematics categories.
This brief investigates the asymptotic behavior of some PDEs on networks. The structures considered consist of finitely interconnected flexible elements such as strings and beams (or combinations thereof), distributed along a planar network. Such study is motivated by the need for engineers to eliminate vibrations in some dynamical structures consisting of elastic bodies, coupled in the form of chain or graph such as pipelines and bridges. There are other complicated examples in the automotive industry, aircraft and space vehicles, containing rather than strings and beams, plates and shells. These multi-body structures are often complicated, and the mathematical models describing their evolution are quite complex. For the sake of simplicity, this volume considers only 1-d networks.
Domain Decomposition Methods In Optimal Control Of Partial Differential Equations
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Author : John E. Lagnese
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Domain Decomposition Methods In Optimal Control Of Partial Differential Equations written by John E. Lagnese and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations. This monograph emphasizes domain decomposition methods in the context of so-called virtual optimal control problems and treats optimal control problems for partial differential equations and their decompositions using an all-at-once approach.
Enumath 97 Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications
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Author : Hans Georg Bock
language : en
Publisher: World Scientific
Release Date : 1998-11-06
Enumath 97 Proceedings Of The Second European Conference On Numerical Mathematics And Advanced Applications written by Hans Georg Bock and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-06 with categories.
The ENUMATH conferences were established in 1995 in order to provide a forum for discussion on recent topics of numerical mathematics. They seek to bring together leading experts and young scientists, with special emphasis on contributions from Europe.In the second ENUMATH conference in 1997, recent results and new trends in the analysis of numerical algorithms as well as their application to challenging scientific and industrial problems were discussed. Apart from theoretical aspects, a major part of the conference was devoted to numerical methods in interdisciplinary applications.The topics covered in this proceedings include: higher order finite element methods, non-matching grids, least-squares methods for partial differential equations, multiscale analysis, boundary element method, optimization in partial differential equations, solid mechanics, microstructures, computational fluid dynamics, computational electrodynamics and semiconductors.
Numerical Control Part A
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Author :
language : en
Publisher: Elsevier
Release Date : 2022-02-15
Numerical Control Part A written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-15 with Mathematics categories.
Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Handbook of Numerical Analysis series Updated release includes the latest information on Numerical Control
Partial Differential Equations On Multistructures
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Author : Felix Mehmeti
language : en
Publisher: CRC Press
Release Date : 2001-04-10
Partial Differential Equations On Multistructures written by Felix Mehmeti and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-10 with Mathematics categories.
This text is based on lectures presented at the International Conference on Partial Differential Equations (PDEs) on Multistructures, held in Luminy, France. It contains advances in the field, compiling research on the analyses and applications of multistructures - including treatments of classical theories, specific characterizations and modellings of multistructures, and discussions on uses in physics, electronics, and biology.
Anomalies In Partial Differential Equations
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Author : Massimo Cicognani
language : en
Publisher: Springer Nature
Release Date : 2021-02-03
Anomalies In Partial Differential Equations written by Massimo Cicognani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-03 with Mathematics categories.
The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "Anomalies in Partial Differential Equations" held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza". The volume contains results for well-posedness and local solvability for linear models with low regular coefficients. Moreover, nonlinear dispersive models (damped waves, p-evolution models) are discussed from the point of view of critical exponents, blow-up phenomena or decay estimates for Sobolev solutions. Some contributions are devoted to models from applications as traffic flows, Einstein-Euler systems or stochastic PDEs as well. Finally, several contributions from Harmonic and Time-Frequency Analysis, in which the authors are interested in the action of localizing operators or the description of wave front sets, complete the volume.
Mutational And Morphological Analysis
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Author : Jean-Pierre Aubin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mutational And Morphological Analysis written by Jean-Pierre Aubin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory. These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth. However, shapes and images are basically sets, most often not smooth. J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set. Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets. Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets. "Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology. Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.
