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Aeroelasticity. --- Mathematical modelling. --- Aerodynamics --- Elastic waves --- Elasticity

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The author's approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations. Both linear and nonlinear models are considered although much of the book is concerned with the former while keeping the latter clearly in view. A complete chapter is also devoted to nonlinear theory. The author has provided new insights into the classical inviscid aerodynamics and raises novel and interesting questions on fundamental issues that have too often been neglected or forgotten in the development of the early history of the subject. The author contrasts his approach with discrete models for the unsteady aerodynamic flow and the finite element model for the structure. Much of the aeroelasticity has been developed with applications formerly in mind because of its enormous consequences for the safety of aircraft. Aeroelastic instabilities such as divergence and flutter and aeroelastic responses to gusts can pose a significant hazard to the aircraft and impact its performance. Yet, it is now recognized that there are many other physical phenomena that have similar characteristics ranging from flows around flexible tall buildings and long span bridges, alternate energy sources such as electric power generation by smart structures to flows internal to the human body.  From the foreword:  "For the theorist and applied mathematician who wishes an introduction to this fascinating subject as well as for the experienced aeroelastician who is open to new challenges and a fresh viewpoint, this book and its author have much to offer the reader." Earl Dowell, Duke University, USA.

Aeroelasticity -- Mathematical models. --- Flutter (Aerodynamics) -- Mathematical models. --- Mathematics. --- Aeroelasticity --- Mathematics --- Mechanical Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Calculus --- Aeronautics Engineering & Astronautics --- Mathematical models --- Aeroelasticity. --- Functional analysis. --- Partial differential equations. --- Fluids. --- Continuum mechanics. --- Engineering design. --- Functional Analysis. --- Engineering Design. --- Continuum Mechanics and Mechanics of Materials. --- Fluid- and Aerodynamics. --- Partial Differential Equations. --- Aerodynamics --- Elastic waves --- Elasticity --- Mechanics. --- Mechanics, Applied. --- Differential equations, partial. --- Solid Mechanics. --- Partial differential equations --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Design --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability

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Aerospace engineering --- Aérospatiale (Ingénierie) --- Periodicals --- Périodiques --- Aeronautics --- Astronautics --- Aeronautics. --- Astronautics. --- Research --- Research. --- fluid mechanics --- aerodynamics --- flight theory --- aeroelasticity --- mechatronics --- structures --- Space sciences --- Astrodynamics --- Space flight --- Space vehicles --- Aerostation --- Air navigation --- Aviation --- Communication and traffic --- Aerodynamics --- Airships --- Balloons --- Flight --- Flying-machines --- Aeronautical engineering --- Engineering --- Transport engineering

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This book cover the basics of aeroelasticity or the dynamics of fluid-structure interaction. While the field began in response to the rapid development of aviation, it has now expanded into many branches of engineering and scientific disciplines and treat physical phenomena from aerospace engineering, bioengineering, civil engineering, and mechanical engineering in addition to drawing the attention of mathematicians and physicists. The basic questions addressed are dynamic stability and response of fluid structural systems as revealed by both linear and nonlinear mathematical models and correlation with experiment. The use of scaled models and full scale experiments and tests play a key role where theory is not considered sufficiently reliable. In this new edition the more recent literature on nonlinear aeroelasticity has been brought up to date and the opportunity has been taken to correct the inevitable typographical errors that the authors and our readers have found to date. The early chapters of this book may be used for a first course in aeroelasticity taught at the senior undergraduate or early graduate level and the later chapters may serve as the basis for a more advanced course, a graduate research seminar or as reference to provide an entree to the current research literature.

Engineering. --- Aerospace Technology and Astronautics. --- Mathematical Modeling and Industrial Mathematics. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Hydraulic engineering. --- Astronautics. --- Ingénierie --- Technologie hydraulique --- Astronautique --- Mechanical Engineering --- Engineering & Applied Sciences --- Aeronautics Engineering & Astronautics --- Aeroelasticity. --- Construction --- Mathematical models. --- Fluids. --- Fluid mechanics. --- Aerospace engineering. --- Industrial arts --- Technology --- Aerodynamics --- Elastic waves --- Elasticity --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Aéroélasticité. --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Hydromechanics --- Continuum mechanics --- Models, Mathematical --- Simulation methods --- Aeronautical engineering --- Astronautics

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Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.

Computational fluid dynamics. --- Mathematics --- Physical Sciences & Mathematics --- Mathematics - General --- Aeroelasticity. --- Fluid dynamics. --- Mathematics. --- Computer mathematics. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Aerospace engineering. --- Astronautics. --- Computational Mathematics and Numerical Analysis. --- Computational Science and Engineering. --- Appl.Mathematics/Computational Methods of Engineering. --- Aerospace Technology and Astronautics. --- Numerical and Computational Physics. --- Dynamics --- Fluid mechanics --- Aerodynamics --- Elastic waves --- Elasticity --- Computer science --- Computer science. --- Mathematical and Computational Engineering. --- Numerical and Computational Physics, Simulation. --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Engineering --- Engineering analysis --- Mathematical analysis --- Informatics --- Science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Aeronautical engineering --- Astronautics --- Uncertainty --- Mathematical models.