Impact Location for a Multilayer Transversely Isotropic Plate
Abstract
This paper will address analytical research work performed on impact location in an anisotropic multilayered thermal protection structure. The propagation of elastodynamic waves through the multilayer structure and the possibility that the layers are transversely isotropic are two complications that are addressed. The method used is an extension of classical triangulation based on the use of the fixed geometry of the multilayer plate structure, quasi-longitudinal modes, and the generalized Snell's law for transversely isotropic materials. The impact localization problem is recast as a minimization problem whose objective function is the sum of the distances between all combination pairs of constant time difference curves for the sensor pairs. An initial estimate is made for the parameter values for the collection of constant time difference curves. The Newton-Kantorovich algorithm is then used to generate a sequence of iterations which converge to the minimum of the objective function. This generates a point on each of the collection of curves. The centroid of this point set is calculated and used for the approximation for the impact point.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 2006
- Accession Number
- ADA466369
Entities
People
- Enrique A. Medina
- Kumar V. Jata
- Samuel J. Kuhr
- Steven A. Martin