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Duality system in applied mechanics and optimal control

✍ Scribed by H.L. Dryden and Th. von Kármán (Eds.)


Publisher
Kluwer
Year
1958
Tongue
English
Leaves
471
Series
Advances in Applied Mechanics 5
Category
Library

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✦ Synopsis


A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.

✦ Table of Contents


Content:
Edited by
Page iii

Copyright Page
Page iv

Contributors to Volume V
Page v

Preface
Page vii

Supersonic Air Ejectors Original Research Article
Pages 1-34
J. Fabri, R. Siestrunck

Unsteady Airfoil Theory Original Research Article
Pages 35-89
A.I. Van De Vooren

The Theory of Distributions Original Research Article
Pages 91-110
Charles Saltzer

Stress Wave Propagation in Rods and Beams Original Research Article
Pages 111-194
H.N. Abramson, H.J. Plass, E.A. Ripperger

Problems in Hydromagnetics Original Research Article
Pages 195-231
Edward A. Frieman, Russell M. Kulsrud

Mechanics of Granular Matter Original Research Article
Pages 233-306
H. Deresiewicz

Condensation in Supersonic and Hypersonic Wind Tunnels Original Research Article
Pages 307-447
P.P. Wegener, L.M. Mack

Author Index
Pages 449-455

Subject Index
Pages 456-459

✦ Subjects


Автоматизация;Теория автоматического управления (ТАУ);Книги на иностранных языках;


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