Non-Linear Least-Squares Estimation of Material Properties and Structural Intensity in Non-Uniform Beams

Algorithms for determining material properties and power flow in vibrating structures are presented. The new techniques are achieved by synthesizing wave component identification methods developed previously (Halliday and Grosh, 2000) with new methods targeted towards material property and structural intensity estimation. The effectiveness of this nonlinear least-squares approach is investigated through laboratory and numerical experiments on a non-uniform structure, yielding guidelines for spatial sampling and the effects of noise.