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Author:

Rosen, I. Gary, author.

Title:

A numerical scheme for the identification of hybrid systems describing the vibration of flexible beams with tip bodies / I. Gary Rosen.

Publisher:

Institute for computer applications in science and engineeringNASA Langley Research Center,

Copyright Date:

1984

Description:

i, 35 pages : illustrations ; 28 cm.

Subject:

Vibration (Aeronautics)
Distributed parameter systems.
Approximation theory.
Hybrid computer simulation.
Vibration (Aéronautique)
Simulation par calculateur hybride.
Hybrid computer simulation.
Vibration (Aeronautics)
Identification.
Approximation.
Distributed parameter system.
Beam vibration.

Notes:

"June 1984" -- cover. "Contract no. NAS1-17070" -- cover. Includes bibliographical references (pages 34-35).

Summary:

"A cubic spline based Galerkin-like method is developed for the identification of a class of hybrid systems which describe the transverse vibration of 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 ordinary 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" -- abstract.

Series:

NASA contractor report ; 172388
ICASE report ; no. 84-23

OCLC:

(OCoLC)656137210

Locations:

USUX851 -- Iowa State University - Parks Library (Ames)