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Stability Of Elastic Multi Link Structures
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Book Synopsis Stability of Elastic Multi-Link Structures by : Kaïs Ammari
Download or read book Stability of Elastic Multi-Link Structures written by Kaïs Ammari and published by Springer Nature. This book was released on 2022-01-16 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures by : J.E. Lagnese
Download or read book Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures written by J.E. Lagnese and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements by : Alexander L. Zuyev
Download or read book Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements written by Alexander L. Zuyev and published by Springer. This book was released on 2014-11-04 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a rigorous treatment of problems related to partial asymptotic stability and controllability for models of flexible structures described by coupled nonlinear ordinary and partial differential equations or equations in abstract spaces. The text is self-contained, beginning with some basic results from the theory of continuous semigroups of operators in Banach spaces. The problem of partial asymptotic stability with respect to a continuous functional is then considered for a class of abstract multivalued systems on a metric space. Next, the results of this study are applied to the study of a rotating body with elastic attachments. Professor Zuyev demonstrates that the equilibrium cannot be made strongly asymptotically stable in the general case, motivating consideration of the problem of partial stabilization with respect to the functional that represents “averaged” oscillations. The book’s focus moves on to spillover analysis for infinite-dimensional systems with finite-dimensional controls. It is shown that a family of L2-minimal controls, corresponding to low frequencies, can be used to obtain approximate solutions of the steering problem for the complete system. The book turns from the examination of an abstract class of systems to particular physical examples. Timoshenko beam theory is exploited in studying a mathematical model of a flexible-link manipulator. Finally, a mechanical system consisting of a rigid body with the Kirchhoff plate is considered. Having established that such a system is not controllable in general, sufficient controllability conditions are proposed for the dynamics on an invariant manifold. Academic researchers and graduate students interested in control theory and mechanical engineering will find Partial Stabilization and Control of Distributed-Parameter Systems with Elastic Elements a valuable and authoritative resource for investigations on the subject of partial stabilization.
Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Advances in Applied Mechanics and Mechanical Engineering by : Sanjay Yadav
Download or read book Recent Advances in Applied Mechanics and Mechanical Engineering written by Sanjay Yadav and published by Springer Nature. This book was released on 2023-08-08 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides select proceedings of the 3rd International Conference on Applied Mechanics and Mechanical Engineering (ICAMME 2022). It covers the latest research in the fields of mechanics and mechanical engineering. Various topics covered in this book are engineering design, machinery and machine elements, mechanical structures and stress analysis, automotive engineering, engine technology, aerospace technology and astronautics, mechanical intelligent control and robotics, mechatronics, dynamical systems and control, fluid mechanics, industrial manufacturing and applied mechanics. The book will be useful for researchers and professionals working in the various fields of mechanical engineering.
Download or read book Mathematical Reviews written by and published by . This book was released on 1996 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control of Partial Differential Equations by : Karl-Heinz Hoffmann
Download or read book Optimal Control of Partial Differential Equations written by Karl-Heinz Hoffmann and published by Birkhäuser. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The application of PDE-based control theory and the corresponding numerical algorithms to industrial problems have become increasingly important in recent years. This volume offers a wide spectrum of aspects of the discipline, and is of interest to mathematicians and scientists working in the field.
Book Synopsis Stabilization of Elastic Systems by Collocated Feedback by : Kaïs Ammari
Download or read book Stabilization of Elastic Systems by Collocated Feedback written by Kaïs Ammari and published by Springer. This book was released on 2014-11-03 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. A similar strategy is applied to systems where a delay term is added. The book concludes with many concrete examples. This book is addressed to graduate students in mathematics or engineering and also to researchers with an interest in stabilization and control systems governed by partial differential equations.
Book Synopsis Computational Sciences - Modelling, Computing and Soft Computing by : Ashish Awasthi
Download or read book Computational Sciences - Modelling, Computing and Soft Computing written by Ashish Awasthi and published by Springer Nature. This book was released on 2021-07-27 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised and selected papers of the First International Conference on Computational Sciences - Modelling, Computing and Soft Computing, held in Kozhikode, Kerala, India, in September 2020. The 15 full papers and 6 short papers presented were thoroughly reviewed and selected from the 150 submissions. They are organized in the topical secions on computing; soft computing; general computing; modelling.
Book Synopsis Modern Problems of Structural Stability by : Alexander P. Seyranian
Download or read book Modern Problems of Structural Stability written by Alexander P. Seyranian and published by Springer. This book was released on 2014-05-04 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of structures is one of the most important and interesting fields in mechanics. This book is dedicated to fundamental concepts, problems and methods of structural stability along with qualitative understanding of instability phenomena. The methods presented are constructive and easy to implement in computer programs. Recent exciting experiments on dynamic stability of non-conservative systems are described and shown by many photographs.
Book Synopsis Multiple Muscle Systems by : Jack M. Winters
Download or read book Multiple Muscle Systems written by Jack M. Winters and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: The picture on the front cover of this book depicts a young man pulling a fishnet, a task of practical relevance for many centuries. It is a complex task, involving load transmission throughout the body, intricate balance, and eye head-hand coordination. The quest toward understanding how we perform such tasks with skill and grace, often in the presence of unpredictable pertur bations, has a long history. However, despite a history of magnificent sculptures and drawings of the human body which vividly depict muscle ac tivity and interaction, until more recent times our state of knowledge of human movement was rather primitive. During the past century this has changed; we now have developed a considerable database regarding the com position and basic properties of muscle and nerve tissue and the basic causal relations between neural function and biomechanical movement. Over the last few decades we have also seen an increased appreciation of the impor tance of musculoskeletal biomechanics: the neuromotor system must control movement within a world governed by mechanical laws. We have now col lected quantitative data for a wealth of human movements. Our capacity to understand the data we collect has been enhanced by our continually evolving modeling capabilities and by the availability of computational power. What have we learned? This book is designed to help synthesize our current knowledge regarding the role of muscles in human movement. The study of human movement is not a mature discipline.
Book Synopsis Hencky Bar-chain/net For Structural Analysis by : Chien Ming Wang
Download or read book Hencky Bar-chain/net For Structural Analysis written by Chien Ming Wang and published by World Scientific. This book was released on 2020-04-30 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an emerging discrete structural model, the Hencky bar-chain/net model (HBM) has shown its advantages over other numerical methods in some problems. Owing to the discrete properties of HBM, it is also a suitable model for nano-scale structures which are currently a very hot research topic in mechanics.This book introduces the concepts and previous research of the Hencky bar-chain/net model, before demonstrating how beams, columns, arches, rectangular plates and circular plates could be successfully modelled by HBM. HBM comprises rigid bars connected by frictionless hinges with elastic rotational springs (and a system of torsional springs in the cells for plates). In the treatment of the above-mentioned structures, HBM is found to be mathematically equivalent to the first order central finite difference method (FDM). So HBM may be regarded as the physical structural model behind the FDM.This book is a compilation of the authors' research on the development of the Hencky bar-chain/net model, and is organized according to the development and application of HBM for beams, columns, frames, arches and rings, and plates. Exercises are provided at the end of each chapter to aid comprehension and guide learning. It is a useful reference for students, researchers, academics and practitioners in the field of structural analysis.
Book Synopsis Modelling and Optimisation of Flows on Networks by : Luigi Ambrosio
Download or read book Modelling and Optimisation of Flows on Networks written by Luigi Ambrosio and published by Springer. This book was released on 2012-12-14 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years flows in networks have attracted the interest of many researchers from different areas, e.g. applied mathematicians, engineers, physicists, economists. The main reason for this ubiquity is the wide and diverse range of applications, such as vehicular traffic, supply chains, blood flow, irrigation channels, data networks and others. This book presents an extensive set of notes by world leaders on the main mathematical techniques used to address such problems, together with investigations into specific applications. The main focus is on partial differential equations in networks, but ordinary differential equations and optimal transport are also included. Moreover, the modeling is completed by analysis, numerics, control and optimization of flows in networks. The book will be a valuable resource for every researcher or student interested in the subject.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1975 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilization of Distributed Parameter Systems: Design Methods and Applications by : Grigory Sklyar
Download or read book Stabilization of Distributed Parameter Systems: Design Methods and Applications written by Grigory Sklyar and published by Springer Nature. This book was released on 2021-03-01 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent results and envisages new solutions of the stabilization problem for infinite-dimensional control systems. Its content is based on the extended versions of presentations at the Thematic Minisymposium “Stabilization of Distributed Parameter Systems: Design Methods and Applications” at ICIAM 2019, held in Valencia from 15 to 19 July 2019. This volume aims at bringing together contributions on stabilizing control design for different classes of dynamical systems described by partial differential equations, functional-differential equations, delay equations, and dynamical systems in abstract spaces. This includes new results in the theory of nonlinear semigroups, port-Hamiltonian systems, turnpike phenomenon, and further developments of Lyapunov's direct method. The scope of the book also covers applications of these methods to mathematical models in continuum mechanics and chemical engineering. It is addressed to readers interested in control theory, differential equations, and dynamical systems.
Book Synopsis Developments and Novel Approaches in Nonlinear Solid Body Mechanics by : Bilen Emek Abali
Download or read book Developments and Novel Approaches in Nonlinear Solid Body Mechanics written by Bilen Emek Abali and published by Springer Nature. This book was released on 2020-07-18 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features selected manuscripts presented at ICoNSoM 2019, exploring cutting-edge methods for developing novel models in nonlinear solid mechanics. Innovative methods like additive manufacturing—for example, 3D printing— and miniaturization mean that engineers need more accurate techniques for modeling solid body mechanics. The book focuses on the formulation of continuum and discrete models for complex materials and systems, particularly the design of metamaterials.
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1998 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
