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A numerical scheme for the identification of hybrid systems describing the vibration of flexible beams with tip bodies
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Rosen, I. G. |
| Copyright Year | 1984 |
| Description | A cubic spline based Galerkin-like method is developed for the identification of a class of hybrid systems which describe the transverse vibration to flexible beams with attached tip bodies. The identification problem is formulated as a least squares fit to data subject to the system dynamics given by a coupled system of ordnary and partial differential equations recast as an abstract evolution equation (AEE) in an appropriate infinite dimensional Hilbert space. Projecting the AEE into spline-based subspaces leads naturally to a sequence of approximating finite dimensional identification problems. The solutions to these problems are shown to exist, are relatively easily computed, and are shown to, in some sense, converge to solutions to the original identification problem. Numerical results for a variety of examples are discussed. |
| File Size | 1077022 |
| Page Count | 44 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19840021586 |
| Archival Resource Key | ark:/13960/t89h0gw9r |
| Language | English |
| Publisher Date | 1984-06-01 |
| Access Restriction | Open |
| Subject Keyword | Systems Analysis Dynamic Structural Analysis Flexible Bodies Boundary Value Problems Approximation Structural Vibration Differential Equations Beams Supports Hilbert Space Galerkin Method Distributed Parameter Systems Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
