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Computational methods for the identification of spatially varying stiffness and damping in beams
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Banks, H. T. Rosen, I. G. |
| Copyright Year | 1986 |
| Description | A numerical approximation scheme for the estimation of functional parameters in Euler-Bernoulli models for the transverse vibration of flexible beams with tip bodies is developed. The method permits the identification of spatially varying flexural stiffness and Voigt-Kelvin viscoelastic damping coefficients which appear in the hybrid system of ordinary and partial differential equations and boundary conditions describing the dynamics of such structures. An inverse problem is formulated as a least squares fit to data subject to constraints in the form of a vector system of abstract first order evolution equations. Spline-based finite element approximations are used to finite dimensionalize the problem. Theoretical convergence results are given and numerical studies carried out on both conventional (serial) and vector computers are discussed. |
| File Size | 1682172 |
| Page Count | 43 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19870004625 |
| Archival Resource Key | ark:/13960/t09w5b805 |
| Language | English |
| Publisher Date | 1986-10-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Flexible Bodies Approximation Vibration Partial Differential Equations Cantilever Beams Convergence Finite Element Method Constraints Least Squares Method Computation Spline Functions Stiffness Viscoelastic Damping 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 |
