Date of Award
Master of Science
Effective structural health monitoring techniques are essential for detecting structural damage and preventing human and financial losses. The use of finite element (FE) methods for structural analysis is frequently limited because FE procedures cannot cover all the physical and geometrical aspects of the actual structure. These FE models can be updated further by taking measurements from the actual structure using modal analysis. However, due to cost and accessibility concerns, these measurements are often limited to a small number of degrees of freedom (DOFs) of the structure. This thesis studies the use of kriging interpolation to expand the experimental eigenvectors using data at measured DOFs to interpolate the values at unmeasured DOFs. The study is performed on a 35m span simply supported truss with 30 DOFs, three of which are restrained. The sensors that provide displacement measurements at the respective DOFS are studied for a variety of configurations (both numbers and locations). The interpolated eigenvectors are then compared to the full eigenvectors obtained analytically using modal assurance criteria (MAC). To further test the accuracy of kriging as a spatial interpolation expansion tool, the eigenvectors are also expanded using linear surface interpolation and the results are compared to that of kriging using MAC.
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