Accession Number : ADA325285

Title :   Rational Approximations of Transfer Functions of Some Viscoelastic Rods, with Applications to Robust Control.

Descriptive Note : Research rept.,

Corporate Author : HELSINKI UNIV OF TECHNOLOGY ESPOO (FINLAND)

Personal Author(s) : Hannsgen, K. B. ; Staffans, O. J. ; Wheeler, R. L.

PDF Url : ADA325285

Report Date : JUN 1992

Pagination or Media Count : 43

Abstract : We study rational approximations of the transfer function P of a uniform or nonuniform viscoelastic rod undergoing torsional vibrations that are excited and measured at the same end. The approximation is to be carried out in a way that is appropriate, with respect to stability and performance, for the construction of suboptimal rational stabilizing compensators for the rod. Convergence suitable for our problem requires the introduction of a new irrational convergence factor, which must be approximated separately. Some numerical data illustrating all the stages of the process as well as the final results for various viscoelastic constitutive relations are presented.

Descriptors :   *TRANSFER FUNCTIONS, *VISCOELASTICITY, *CONVERGENCE, VIBRATION, FOREIGN TECHNOLOGY, DAMPING, TRANSFORMATIONS(MATHEMATICS), APPROXIMATION(MATHEMATICS), FEEDBACK, RODS, TORSION, FINLAND, THEOREMS.

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE