Loading...
Please wait, while we are loading the content...
Similar Documents
Approximation methods for inverse problems involving the vibration of beams with tip bodies
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Rosen, I. G. |
| Copyright Year | 1984 |
| Description | Two cubic spline based approximation schemes for the estimation of structural parameters associated with the transverse vibration of flexible beams with tip appendages are outlined. The identification problem is formulated as a least squares fit to data subject to the system dynamics which are given by a hybrid system of coupled ordinary and partial differential equations. The first approximation scheme is based upon an abstract semigroup formulation of the state equation while a weak/variational form is the basis for the second. Cubic spline based subspaces together with a Rayleigh-Ritz-Galerkin approach were used to construct sequences of easily solved finite dimensional approximating identification problems. Convergence results are briefly discussed and a numerical example demonstrating the feasibility of the schemes and exhibiting their relative performance for purposes of comparison is provided. |
| File Size | 402518 |
| Page Count | 16 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19850003071 |
| Archival Resource Key | ark:/13960/t6d26rv5v |
| Language | English |
| Publisher Date | 1984-09-01 |
| Access Restriction | Open |
| Subject Keyword | Structural Mechanics Approximation Vibration Differential Equations Beams Supports Spline Functions Flexibility Convergence Tips 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 |
