Global Stabilization of Nonlinear Gyroscopic Systems
Author : Chih-Jian Wan
Publisher :
Page : 394 pages
File Size : 19,14 MB
Release : 1994
Category :
ISBN :
Stability Of Gyroscopic Systems
Author : Ardeshir Guran
Publisher : World Scientific
Page : 438 pages
File Size : 37,35 MB
Release : 1999-04-01
Category : Technology & Engineering
ISBN : 9814499080
Book Description
The motion of mechanical systems undergoing rotation about a fixed axis has been the subject of extensive studies over a few centuries. These systems are generally subject to gyroscopic forces which are associated with coriolis accelerations or mass transport and render complex dynamics.The unifying theme among topics presented in this book is the gyroscopic nature of the system equations of motion. The book represents comprehensive and detailed reviews of the state of art in four diverse application areas: flow-induced oscillations in structures, oscillations in rotating systems or rotor dynamics, dynamics of axially moving material systems, and dynamics of gyroelastic systems. The book also includes a chapter on dynamics of repetitive structures. These systems feature spatial periodicity and are generally subject to considerable gyroscopic forces. “Gyroelastic systems” and “repetitive structures” are the topics with very recent origins and are still in their infancies compared to the other examples represented in this book. Thus, the contributions on gyroelastic systems and repetitive structures are limited to only modeling, localization and linear stability analysis results.This book covers many important aspects of recent developments in various types of gyroscopic systems. Thus, at last, a comprehensive book is made available to serve as a supplement and resource for any graduate level course on elastic gyroscopic systems, as well as for a course covering the stability of mechanical systems. Moreover, the inclusion of an up-to-date bibliography attached to each chapter will make this book an invaluable text for professional reference.
Scientific and Technical Aerospace Reports
Author :
Publisher :
Page : 548 pages
File Size : 26,95 MB
Release : 1995
Category : Aeronautics
ISBN :
Book Description
Scientific and Technical Aerospace Reports
Author :
Publisher :
Page : 1148 pages
File Size : 25,17 MB
Release : 1989
Category : Aeronautics
ISBN :
Book Description
Dissertation Abstracts International
Author :
Publisher :
Page : 902 pages
File Size : 31,26 MB
Release : 2008
Category : Dissertations, Academic
ISBN :
Book Description
World Congress of Nonlinear Analysts '92
Author : V. Lakshmikantham
Publisher : Walter de Gruyter
Page : 4040 pages
File Size : 27,78 MB
Release : 2011-11-14
Category : Mathematics
ISBN : 3110883236
Book Description
Computational Fluid and Solid Mechanics
Author : K.J. Bathe
Publisher : Elsevier
Page : 975 pages
File Size : 30,83 MB
Release : 2001-05-21
Category : Technology & Engineering
ISBN : 0080552811
Book Description
The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of engineering can not be pursued effectively without, frequently, intensive analysis based on numerical computations.The world we live in has been classified by the human mind, for descriptive and analysis purposes, to consist of fluids and solids, continua and molecules; and the analyses of fluids and solids at the continuum and molecular scales have traditionally been pursued separately. Fundamentally, however, there are only molecules and particles for any material that interact on the microscopic and macroscopic scales. Therefore, to unify the analysis of physical systems and to reach a deeper understanding of the behavior of nature in scientific investigations, and of the behavior of designs in engineering endeavors, a new level of analysis is necessary. This new level of mathematical modeling and numerical solution does not merely involve the analysis of a single medium but must encompass the solution of multi-physics problems involving fluids, solids, and their interactions, involving multi-scale phenomena from the molecular to the macroscopic scales, and must include uncertainties in the given data and the solution results. Nature does not distinguish between fluids and solids and does not ever repeat itself exactly.This new level of analysis must also include, in engineering, the effective optimization of systems, and the modeling and analysis of complete life spans of engineering products, from design to fabrication, to possibly multiple repairs, to end of service.
Open Problems in Mathematical Systems and Control Theory
Author : Vincent D. Blondel
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 48,43 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 1447108078
Book Description
System and Control theory is one of the most exciting areas of contemporary engineering mathematics. From the analysis of Watt's steam engine governor - which enabled the Industrial Revolution - to the design of controllers for consumer items, chemical plants and modern aircraft, the area has always drawn from a broad range of tools. It has provided many challenges and possibilities for interaction between engineering and established areas of 'pure' and 'applied' mathematics. This impressive volume collects a discussion of more than fifty open problems which touch upon a variety of subfields, including: chaotic observers, nonlinear local controlability, discrete event and hybrid systems, neural network learning, matrix inequalities, Lyapunov exponents, and many other issues. Proposed and explained by leading researchers, they are offered with the intention of generating further work, as well as inspiration for many other similar problems which may naturally arise from them. With extensive references, this book will be a useful reference source - as well as an excellent addendum to the textbooks in the area.
IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics
Author : S Gummadi
Publisher : Springer Science & Business Media
Page : 341 pages
File Size : 40,52 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 9401008868
Book Description
Nonlinearity and stochastic structural dynamics is of common interest to engineers and applied scientists belonging to many disciplines. Recent research in this area has been concentrated on the response and stability of nonlinear mechanical and structural systems subjected to random escitation. Simultaneously the focus of research has also been directed towards understanding intrinsic nonlinear phenomena like bifurcation and chaos in deterministic systems. These problems demand a high degree of sophistication in the analytical and numerical approaches. At the same time they arise from considerations of nonlinear system response to turbulence, earthquacke, wind, wave and guidancy excitations. The topic thus attracts votaries of both analytical rigour and practical applications. This books gives important and latest developments in the field presenting in a coherent fashion the research findings of leading international groups working in the area of nonlinear random vibration and chaos.
International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics
Author : Joseph Lasalle
Publisher : Elsevier
Page : 521 pages
File Size : 34,38 MB
Release : 2012-12-02
Category : Science
ISBN : 0323147305
Book Description
Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters explore the canonic system of hyperbolic partial differential equations with fixed characteristics. This book discusses as well the monofrequent oscillations that are predominantly near one or the other of the linear modes of motion. The final chapter deals with the existence and asymptotic character of solutions of the nonlinear boundary value problem. This book is a valuable resource for pure and applied mathematicians. Aircraft engineers will also find this book useful.
