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Modelling Analysis And Control Of Thin Plates

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Modelling Analysis And Control Of Thin Plates

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Author : J. Lagnese
language : en
Publisher: Elsevier Masson
Release Date : 1988

Modelling Analysis And Control Of Thin Plates written by J. Lagnese and has been published by Elsevier Masson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Bifurcation theory categories.

Modelling Analysis And Control Of Thin Plates

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Author : J.E. Lagnese
language : en
Publisher: Springer
Release Date : 1990-02-12

Modelling Analysis And Control Of Thin Plates written by J.E. Lagnese and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-12 with Mathematics categories.

This book deals with controllability and stabilisation of thin plates using new methods such as the Hilbert Uniqueness Method. It also studies thermo-elastic systems with long memory.

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.

Handbook On Timoshenko Ehrenfest Beam And Uflyand Mindlin Plate Theories

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Author : Isaac E Elishakoff
language : en
Publisher: World Scientific
Release Date : 2019-10-29

Handbook On Timoshenko Ehrenfest Beam And Uflyand Mindlin Plate Theories written by Isaac E Elishakoff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Technology & Engineering categories.

The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)

Analysis And Optimization Of Differential Systems

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Author : Viorel Barbu
language : en
Publisher: Springer
Release Date : 2013-06-05

Analysis And Optimization Of Differential Systems written by Viorel Barbu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Mathematics categories.

Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

Evolution Equations Semigroups And Functional Analysis

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Author : Brunello Terreni
language : en
Publisher: Springer Science & Business Media
Release Date : 2002

Evolution Equations Semigroups And Functional Analysis written by Brunello Terreni 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 2002 with Mathematics categories.

Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi

Modelling And Optimization Of Distributed Parameter Systems Applications To Engineering

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Author : K. Malanowski
language : en
Publisher: Springer
Release Date : 2013-06-05

Modelling And Optimization Of Distributed Parameter Systems Applications To Engineering written by K. Malanowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Mathematics categories.

Modern Aspects Of The Theory Of Partial Differential Equations

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Author : Michael Ruzhansky
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-04

Modern Aspects Of The Theory Of Partial Differential Equations written by Michael Ruzhansky 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 2011-05-04 with Mathematics categories.

The book provides a quick overview of a wide range of active research areas in partial differential equations. The book can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions from authors from a large variety of countries on different aspects of partial differential equations, such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches.

Evolution Equations Semigroups And Functional Analysis

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Author : Alfredo Lorenzi
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Evolution Equations Semigroups And Functional Analysis written by Alfredo Lorenzi 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.

Mathematical Models And Methods For Smart Materials

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Author : Mauro Fabrizio
language : en
Publisher: World Scientific
Release Date : 2002

Mathematical Models And Methods For Smart Materials written by Mauro Fabrizio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials, " held in Italy in 2001. The papers are divided into four parts: "Methods in Materials Science" deals mainly with mathematical techniques fo the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems. "Modelling of Smart Materials" is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties. "Well-Posedness in Materials with Memory" deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations. "Analytic Problems in Phase Transitions" discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo type equation, the hysteresis in thermo-visco plasticity, and the solid-solid phase transition. Contents: Automatic Control Problems for Integrodifferential Parabolic Equations (C Cavaterra);Phase Relaxation Problems with Memory and Their Optimal Control (P Colli); Unified Dynamics of Particles and Photons (G Ferrarese); Solid-Solid Phase Transition in a Mechanical System (G Gilardi); KAM Methods for Nonautonomous

Modelling Analysis And Control Of Thin Plates

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