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Elementary Flight Dynamics with an Introduction to Bifurcation and Continuation Methods, Second Edition is aimed at senior undergraduate and graduate students of aerospace and mechanical engineering. The book uses an optimal mix of physical insight and mathematical presentation to illustrate the core concepts of professional aircraft flight dynamics. An updated version of the aerodynamic model is presented with the corrected definition of rate (dynamic) derivatives, supported with examples of real-life airplanes and related data and by open-source computational tools. It introduces bifurcation and continuation methods as a tool for flight dynamic analysis. FEATURES Covers an up-to-date, corrected, clean' presentation of the elements of flight dynamics Presents a blend of theory, practice and application with real-life practical examples Provides a unique viewpoint of applied aerodynamicists and aircraft designers Introduces bifurcation and continuation methods as a tool for flight d ynamics analysis Includes a computational tool with real-life examples carried throughout the chapters The book is enriched with case studies of flight dynamics of a bird's flight, of a six-seater rigid-wing airplane from a design perspective, and airship dynamics to highlight the modal behaviour of similar-looking vehicles that are distinct from each other. Excerpts from reviews of the first edition: "Flight dynamics is a topic that can cause difficulties to aerospace engineering students. This text leads the reader gently through the material with plenty of practical examples and student exercises. As such, it is easy to follow the material and to gradually develop a deep understanding of a demanding topic. The book is ideal for undergraduate students and is a good text for graduate students."--James F. Whidborne, Cranfield University, United Kingdom "The book covers all the aspects of flight dynamics traditionally found in such texts interspersed with examples of the treatment of fe atures of current air vehicles ... In my opinion, this book covers the subject comprehensively and is a desirable reference source for undergraduates and graduates alike."--R.J. Poole, MRAeS, The Aeronautical Journal, June 2014 "The book design and the methodology of interpretation are directed to a wide range of target audience/population interested in studying the dynamics of flight. Given the scale and organization of information, the book will also be a useful tool in the analysis of flight dynamics for professionals in this field. The book is sure to appeal to anyone interested in the dynamics of flight."--Jaroslav Salga, Advances in Military Technology, June 2014

Aerodynamics --- Bifurcation theory --- Continuation methods

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"Elementary Flight Dynamics with an Introduction to Bifurcation and Continuation Methods, Second Edition is aimed at senior undergraduate and graduate students of aerospace and mechanical engineering. The book uses an optimal mix of physical insight and mathematical presentation to illustrate the core concepts of professional aircraft flight dynamics. An updated version of the aerodynamic model is presented with the corrected definition of rate (dynamic) derivatives, supported with examples of real-life airplanes and related data and by open-source computational tools. It introduces bifurcation and continuation methods as a tool for flight dynamic analysis.Covers an up-to-date, corrected, 'clean' presentation of the elements of flight dynamics. Presents a blend of theory, practice and application with real-life practical examples. Provides a unique viewpoint of applied aerodynamicists and aircraft designers. Introduces bifurcation and continuation methods as a tool for flight dynamics analysis.Includes a computational tool with real-life examples carried throughout the chapters. The book is enriched with case studies of flight dynamics of a bird's flight, of a six-seater rigid-wing airplane from a design perspective, and airship dynamics to highlight the modal behaviour of similar-looking vehicles that are distinct from each other." [Quatrième de couverture]

Aérodynamique. --- Systèmes de commande (vol) --- Bifurcation, Théorie de la. --- Prolongement (mathématiques) --- Aerodynamics. --- Flight control. --- Bifurcation theory. --- Continuation methods.

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This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to provide a seamless transition between students' previous studies and new material.  In view of its many novel features, this book will be of interest also to mature readers who have studied continuous mappings from the subject's classical texts and wish to become acquainted with a new approach. The theory of continuous mappings serves as infrastructure for more specialized mathematical theories like differential equations, integral equations, operator theory, dynamical systems, global analysis, topological groups, topological rings and many more. In light of the centrality of the topic, a book of this kind fits a variety of applications, especially those that contribute to a better understanding of functional analysis, towards establishing an efficient setting for its pursuit.

Mathematics. --- Functional analysis. --- Topology. --- Functional Analysis. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Functional calculus --- Math --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Calculus of variations --- Functional equations --- Integral equations --- Continuation methods.

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A decade has passed since Problems of Nonlinear Deformation, the first book by E.I. Grigoliuk: and V.I. Shalashilin was published. That work gave a systematic account of the parametric continuation method. Ever since, the understanding of this method has sufficiently broadened. Previously this method was considered as a way to construct solution sets of nonlinear problems with a parameter. Now it is c1ear that one parametric continuation algorithm can efficiently work for building up any parametric set. This fact significantly widens its potential applications. A curve is the simplest example of such a set, and it can be used for solving various problems, inc1uding the Cauchy problem for ordinary differential equations (ODE), interpolation and approximation of curves, etc. Research in this area has led to exciting results. The most interesting of such is the understanding and proof of the fact that the length of the arc calculated along this solution curve is the optimal continuation parameter for this solution. We will refer to the continuation solution with the optimal parameter as the best parametrization and in this book we have applied this method to variable c1asses of problems: in chapter 1 to non-linear problems with a parameter, in chapters 2 and 3 to initial value problems for ODE, in particular to stiff problems, in chapters 4 and 5 to differential-algebraic and functional differential equations.

Continuation methods --- Differential equations, Nonlinear --- Continuation methods. --- Differential equations, Nonlinear. --- Differential equations. --- Approximation theory. --- Integral equations. --- Computer mathematics. --- Mechanics. --- Ordinary Differential Equations. --- Approximations and Expansions. --- Integral Equations. --- Computational Mathematics and Numerical Analysis. --- Classical Mechanics. --- 517.91 Differential equations --- Differential equations --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Computer mathematics --- Electronic data processing --- Mathematics --- Equations, Integral --- Functional equations --- Functional analysis --- Theory of approximation --- Functions --- Polynomials --- Chebyshev systems --- Analyse numerique --- Equations differentielles

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The problem of solving complex engineering problems has always been a major topic in all industrial fields, such as aerospace, civil and mechanical engineering. The use of numerical methods has increased exponentially in the last few years, due to modern computers in the field of structural mechanics. Moreover, a wide range of numerical methods have been presented in the literature for solving such problems. Structural mechanics problems are dealt with using partial differential systems of equations that might be solved by following the two main classes of methods: Domain-decomposition methods or the so-called finite element methods and mesh-free methods where no decomposition is carried out. Both methodologies discretize a partial differential system into a set of algebraic equations that can be easily solved by computer implementation. The aim of the present Special Issue is to present a collection of recent works on these themes and a comparison of the novel advancements of both worlds in structural mechanics applications.

History of engineering & technology --- direction field --- tensor line --- principal stress --- tailored fiber placement --- heat conduction --- finite elements --- space-time --- elastodynamics --- mesh adaptation --- non-circular deep tunnel --- complex variables --- conformal mapping --- elasticity --- numerical simulation --- numerical modeling --- joint static strength --- finite element method --- parametric investigation --- reinforced joint (collar and doubler plate) --- nonlocal elasticity theory --- Galerkin weighted residual FEM --- silicon carbide nanowire --- silver nanowire --- gold nanowire --- biostructure --- rostrum --- paddlefish --- Polyodon spathula --- maximum-flow/minimum-cut --- stress patterns --- finite element modelling --- laminated composite plates --- non-uniform mechanical properties --- panel method --- marine propeller --- noise --- FW-H equations --- experimental test --- continuation methods --- bifurcations --- limit points --- cohesive elements --- functionally graded materials --- porosity distributions --- first-order shear deformation theory --- shear correction factor --- higher-order shear deformation theory --- equivalent single-layer approach --- n/a