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140122 ||| eng |
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|a 9781402078811
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| 100 |
1 |
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|a Wan-Xie Zhong
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| 245 |
0 |
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|a Duality System in Applied Mechanics and Optimal Control
|h Elektronische Ressource
|c by Wan-Xie Zhong
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| 250 |
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|a 1st ed. 2004
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| 260 |
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|a New York, NY
|b Springer US
|c 2004, 2004
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| 300 |
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|a XIII, 456 p
|b online resource
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| 505 |
0 |
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|a to analytical dynamics -- Vibration Theory -- Probability and stochastic process -- Random vibration of structures -- Elastic system with single continuous coordinate -- Linear optimal control, theory and computation
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| 653 |
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|a Mechanics, Applied
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| 653 |
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|a Engineering mathematics
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| 653 |
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|a Calculus of Variations and Optimization
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| 653 |
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|a Multibody Systems and Mechanical Vibrations
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| 653 |
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|a Vibration
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| 653 |
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|a Engineering / Data processing
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| 653 |
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|a Mechanical engineering
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| 653 |
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|a Applications of Mathematics
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| 653 |
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|a Multibody systems
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| 653 |
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|a Mathematics
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| 653 |
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|a Mechanical Engineering
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| 653 |
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|a Mathematical optimization
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| 653 |
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|a Mathematical and Computational Engineering Applications
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| 653 |
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|a Calculus of variations
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Advances in Mechanics and Mathematics
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| 028 |
5 |
0 |
|a 10.1007/b130344
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| 856 |
4 |
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|u https://doi.org/10.1007/b130344?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 519
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| 520 |
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|a 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
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