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Author: John E. Lagnese
Publisher: SIAM
ISBN: 9781611970821
Category : Technology & Engineering
Languages : en
Pages : 184
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Book Description
Presents one of the main directions of research in the area of design and analysis of feedback stabilizers for distributed parameter systems in structural dynamics. Important progress has been made in this area, driven, to a large extent, by problems in modern structural engineering that require active feedback control mechanisms to stabilize structures which may possess only very weak natural damping. Much of the progress is due to the development of new methods to analyze the stabilizing effects of specific feedback mechanisms. Boundary Stabilization of Thin Plates provides a comprehensive and unified treatment of asymptotic stability of a thin plate when appropriate stabilizing feedback mechanisms acting through forces and moments are introduced along a part of the edge of the plate. In particular, primary emphasis is placed on the derivation of explicit estimates of the asymptotic decay rate of the energy of the plate that are uniform with respect to the initial energy of the plate, that is, on uniform stabilization results. The method that is systematically employed throughout this book is the use of multipliers as the basis for the derivation of a priori asymptotic estimates on plate energy. It is only in recent years that the power of the multiplier method in the context of boundary stabilization of hyperbolic partial differential equations came to be realized. One of the more surprising applications of the method appears in Chapter 5, where it is used to derive asymptotic decay rates for the energy of the nonlinear von Karman plate, even though the technique is ostensibly a linear one.
Author: John E. Lagnese
Publisher: SIAM
ISBN: 9781611970821
Category : Technology & Engineering
Languages : en
Pages : 184
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Book Description
Presents one of the main directions of research in the area of design and analysis of feedback stabilizers for distributed parameter systems in structural dynamics. Important progress has been made in this area, driven, to a large extent, by problems in modern structural engineering that require active feedback control mechanisms to stabilize structures which may possess only very weak natural damping. Much of the progress is due to the development of new methods to analyze the stabilizing effects of specific feedback mechanisms. Boundary Stabilization of Thin Plates provides a comprehensive and unified treatment of asymptotic stability of a thin plate when appropriate stabilizing feedback mechanisms acting through forces and moments are introduced along a part of the edge of the plate. In particular, primary emphasis is placed on the derivation of explicit estimates of the asymptotic decay rate of the energy of the plate that are uniform with respect to the initial energy of the plate, that is, on uniform stabilization results. The method that is systematically employed throughout this book is the use of multipliers as the basis for the derivation of a priori asymptotic estimates on plate energy. It is only in recent years that the power of the multiplier method in the context of boundary stabilization of hyperbolic partial differential equations came to be realized. One of the more surprising applications of the method appears in Chapter 5, where it is used to derive asymptotic decay rates for the energy of the nonlinear von Karman plate, even though the technique is ostensibly a linear one.
Author: John E. Lagnese
Publisher: SIAM
ISBN: 0898712378
Category : Technology & Engineering
Languages : en
Pages : 181
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Book Description
Presents research in the area of design and analysis of feedback stabilizers for distributed parameter systems in structural dynamics.
Author: John E. Lagnese
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Book Description
In this paper we shall consider the question of uniform stabilization of thin, elastic plates through the action of forces and moments on the edge of the plate (or on a part of the edge of the plate). Two particular plate models will be considered: The classical fourth order Kirchoff model, but incorporating rotational inertia, and the sixth order Mindlin-Timoshenko model. The difference in the two models, from a physical point of view, is that the M-T model incorporates transverse shear effects while the Kirchhoff model does not. Actually, the M-T model is a hyperbolic system three coupled second order partial differential equations in two dependent variables. The unknowns, denoted by w, psi, phi are the vertical component w of displacement and angles which are measures of the amount of transverse shear. The three equations are coupled through terms which are multiples of a factor K called the coefficient of elasticity in shear.
Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 10
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Book Description
Author: A Baratta
Publisher: World Scientific
ISBN: 9814546569
Category :
Languages : en
Pages : 651
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Book Description
Structural control offers opportunities to design new structures and to retrofit existing structures by the application of counter-forces, smart materials, frictional devices, etc., instead of just increasing the strength of the structure at greater cost.The Association for the Control of Structures (ACS) is promoting in Europe the development of this new technology in architectural design and infrastructure renewal and rehabilitation. The First European Conference on Structural Control was organized as one of the major initiatives toward this objective.
Author: Olof J. Staffans
Publisher: Cambridge University Press
ISBN: 0521825849
Category : Mathematics
Languages : en
Pages : 795
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Book Description
Publisher Description
Author: Alessandro Baratta
Publisher: World Scientific
ISBN: 9814530158
Category : Earthquake engineering
Languages : en
Pages : 651
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Book Description
"Structural control offers opportunities to design new structures and to retrofit existing structures by the application of counter-forces, smart materials, frictional devices, etc., instead of just increasing the strength of the structure at greater cost. The Association for the Control of Structures (ACS) is promoting in Europe the development of this new technology in architectural design and infrastructure renewal and rehabilitation. The First European Conference on Structural Control was organized as one of the major initiatives toward this objective."--Publisher's website.
Author: Giuseppe Da Prato
Publisher: Springer
ISBN: 3540446532
Category : Mathematics
Languages : en
Pages : 478
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Book Description
This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.
Author: Angelo Favini
Publisher: Springer
ISBN: 3319114069
Category : Mathematics
Languages : en
Pages : 472
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Book Description
This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have been studied intensively in theoretical research and are the source of an enormous number of applications. In this volume, particular attention is given to direct, inverse and control problems for EEs. The book provides an updated overview of the field, revealing its richness and vitality.
Author: Jacques Henry
Publisher: Springer
ISBN: 3540393374
Category : Technology & Engineering
Languages : en
Pages : 972
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Book Description
This conference, organized jointly by UTC and INRIA, is the biennial general conference of the IFIP Technical Committee 7 (System Modelling and Optimization), and reflects the activity of its members and working groups. These proceedings contain a collection of papers (82 from the more than 400 submitted) as well as the plenary lectures presented at the conference.
