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Reconstruction of 3-D structural dynamic response fields : an experimental, laser-based approach with statistical emphasis
This dissertation is concerned with the evaluation of a new statistically sound
reconstruction methodology for continuous 3-D dynamic response fields of harmonically
excited structures in steady-state vibration. This results in an experimental process which
reconstructs the response field from a set of 3-D projections based on Laser-Doppler-Vibrometer
(LDV) localized instantaneous velocity measurements. Included along with an
estimate of the 3-D velocity field, are its statistical characteristics and the inferential tools
required to test the quality of the estimation. This dissertation documents in detail the
development and evaluation of the proposed reconstruction methodology and its relevant
subprocesses which inc1ude the formulation of a deterministic laser-structure kinematic
model, and regression models that afford statistical inference for the time-domain and
spatial-domain structural dynamics, as well as for the projection recombination process.