Applied Mathematics in Aerospace Science and Engineering

ISBN-13: 9781475792614 / Angielski / Miękka / 2013 / 514 str.

Angelo Miele;Attilio Salvetti

Opis

This book contains the proceedings ofthe meeting on "Applied Mathematics in the Aerospace Field," held in Erice, Sicily, Italy from September 3 to September 10, 1991. The occasion of the meeting was the 12th Course of the School of Mathematics "Guido Stampacchia," directed by Professor Franco Giannessi of the University of Pisa. The school is affiliated with the International Center for Scientific Culture "Ettore Majorana," which is directed by Professor Antonino Zichichi of the University of Bologna. The objective of the course was to give a perspective on the state-of- the-art and research trends concerning the application of mathematics to aerospace science and engineering. The course was structured with invited lectures and seminars concerning fundamental aspects of differential equa- tions, mathematical programming, optimal control, numerical methods, per- turbation methods, and variational methods occurring in flight mechanics, astrodynamics, guidance, control, aircraft design, fluid mechanics, rarefied gas dynamics, and solid mechanics. The book includes 20 chapters by 23 contributors from the United States, Germany, and Italy and is intended to be an important reference work on the application of mathematics to the aerospace field. It reflects the belief of the course directors that strong interaction between mathematics and engineering is beneficial, indeed essential, to progresses in both areas.

Spis treści

Slow Variations in Fluid Mechanics; M. Van Dyke. Boltzmann Equations and Rarefied Gas Dynamics; C. Cercignani. Lyapunov-Theory-Based Control of Uncertain Systems; G. Leitmann. Numerical Approximations in Analytical Dynamics; M. Borri. Mathematical Models and Their Use in Engineering; E. Antona. Trajectory Optimization and Guidance of a Future Space Transportation System; K. Well. Effects of Plasticity of Metallic Materials on Fatigue and Fracture Mechanics; A. Frediani. Some Recent Mathematical Methods for Engineering System Design; J. Sobieski. Solving the Equations of Compressible Viscous Flow about Aerospace Configurations; R. MacCormack. An Introduction to Optimal Trajectories for Aeroassisted Orbital Transfer; A. Miele. Singular Perturbation in Flight Mechanics; A. Calise. Decomposition Methods in the Numerical Simulation of Aerodynamics; A. Quarteroni. Nonlinear Unsteady Compressive Aerodynamics and Airplanes and Helicopters; L. Morino. 8 additional articles. Index.