Sinusoid estimation in additive noise and applications in experimental vibration analysis
Abstract
A solution to a sinusoid estimation problem in additive noise is studied. A limit theorem is developed to estimate the sinusoids and the convergence is proven under stationary and non-stationary noise. A central solution to the Nevanlinna-Pick interpolation problem is given. These results are used to estimate the natural frequencies of structures with low damping. Using spectral estimates mass and length changes in the structures are detected in real time. In particular cantilever beams and hydraulic cylinders are used for the experimental work. A modified Kalman-Ho method is used to obtain reduced order models of the structure to capture dominant modes. Results are compared with analytical solutions of the equations of motion and commercially available fast Fourier transform tools.
Degree
Ph.D.
Advisors
Frazho, Purdue University.
Subject Area
Aerospace materials|Mechanical engineering
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