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Methods for the identification of material parameters in distributed models for flexible structures. (English) Zbl 0631.93017
The authors consider the problem of identifying spacially distributed parameters (e.g., stiffness and damping coefficients) in elastic structures (Euler-Bernoulli-beams). Numerical algorithms based on spline- approximation are proposed. Their convergence is shown under the assumption that the set of admissible parameters enjoys sufficiently strong compactness properties. The effectivity of the resulting techniques is demonstrated by means of some simple numerical examples.
Reviewer: J.Sprekels

93B30 System identification
93B40 Computational methods in systems theory (MSC2010)
93C20 Control/observation systems governed by partial differential equations
35L10 Second-order hyperbolic equations
35R25 Ill-posed problems for PDEs
35R30 Inverse problems for PDEs
65D07 Numerical computation using splines
74K10 Rods (beams, columns, shafts, arches, rings, etc.)