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Accession Number:
ADA281312
Title:
Energy Decay and Control for Elastic and Viscoelastic Distributed Parameter Systems
Descriptive Note:
Final technical rept. 15 Nov 1990-14 Apr 1994
Corporate Author:
VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG
Report Date:
1994-06-08
Pagination or Media Count:
13.0
Abstract:
Research is reported on the dynamic behavior of viscoelastic structures, with emphasis on the interaction between passive damping and active feedback control mechanisms. A main focus is the approximation of optimal compensators for simple mechanical systems involving viscoelastic elements by realizable compensators. In the frequency domain, this corresponds to the mathematical problem of approximating a transcendental function by a rational one, under suitable stability constraints and performance criteria. The work involves the analytic study of partial product approximations to transfer functions for rods and beams, as well as a mainly numerical study concerned with replacing the complex modulus for the viscoelastic material by a rational function that reflects the most significant properties of the material. A second focus of the research is a new formula that makes clear the relation between initial data and the smoothness and decay rates of solutions of the equations for a viscoelastic system with stabilizing boundary feedback.
Distribution Statement:
APPROVED FOR PUBLIC RELEASE