The Calculus of Variations and Optimal Control

REVIEWS(112 pages) presents dynamic aeroelasticity starting with the basic principles and equations for the typical wing section, and progressing to the analysis of complex structures and pipe flows.Chapter 4 (108 pages) is on nonsteady aerodynamics of lifting and nonlifting surfaces.It starts with the basic fluid equations and takes the reader through subsonic and supersonic flows over airfoils and wings.Consistent with the current state of the art, unsteady transonic flows are described by approximate methods.Chapter 5 (14 pages), by Professor Sisto, discusses stall flutter.It gives an overview of the phenomena including a nonlinear mechanics description.In Chapter 6 (46 pages), Professor Scanlan gives a valuable and unique exposition of the aeroelastic problems of civil engineering structures such as divergence, vortex shedding, and flutter of bridges, and galloping of cables.Chapter 7 (56 pages) by Prof.Curtiss is on the aeroelastic problems of rotorcraft and gives a brief description of blade dynamics, stall flutter, and blade motion/body coupling.In Chapter 8 (28 pages), Prof. Sisto describes aeroelastic problems in turbomachines highlighting the special problems encountered in axial flow compressors.Appendix I (8 pages) by Prof. Dowell, is a primer for structural response to random pressure fluctuations and gives a good resume of an application of modern spectral analysis techniques.Appendix II (38 pages, Prof. Dowell) gives some example problems that are pertinent to Chapters 2-4 and their solutions.This book gives a good exposition of basic principles and a good overview of the diverse field of aeroelasticity from a modern point of view.As the title indicates, it is primarily directed as a textbook rather than to the practitioner.It supplements reference [1] rather than replacing it, however, as the range of topics considered are somewhat different.Further emphasis might have also been given to testing techniques and experimental results.