Numerical Recovery of Material Parameters in Euler-Bernoulli Beam Models

By National Aeronautics and Space Administration

A fully Sinc-Galerkin method for recovering the spatially varying stiffness parameter in fourth-order time-dependence problems with fixed and cantilever boundary conditions is presented. The forward problems are discretized with a sinc basis in both the spatial and temporal domains. This yields an approximation solution which converges exponentially and is valid on the infinite time interval. When the forward methods are applied to parameter recovery problems, the resulting inverse problems are ill-posed. Tikhonov regularization is applied and the resulting minimization problems are solved via a quasi-Newton/trust region algorithm. The L-curve method is used to determine an appropriate value of the regularization parameter. Numerical results which highlight the method are given for problems with both fixed and cantilever boundary conditions. Smith, R. C. and Bowers, K. L. and Vogel, C. R. Langley Research Center NAS1-18605; RTOP 505-90-52-01...

• Format: Paperback
• Language: English
• ISBN: 1729357296
• ISBN13: 9781729357293
• Release Date: January 1
• Publisher: Independently Published
• Length: 48 Pages
• Weight: 0.30 lbs.
• Dimensions: 0.1" x 8.5" x 11.0"