Energy Decay and Control for Elastic and Viscoelastic Distributed Parameter Systems
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 08, 1994
- Accession Number
- ADA281312
Entities
People
- Kenneth B. Hannsgen
- Robert L. Wheeler
Organizations
- Virginia Tech