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Model Updating and Damage Detection using Direct Mode Shape Expansion to Dealing with Spatial Incompleteness |
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PP: 935-941 |
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Author(s) |
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Liu Fushun,
Wang Weiying,
Wang Shuqing,
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Abstract |
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| In the study of finite element model updating or damage detection, most papers usually employ transformation matrix from
the master coordinates to the full-order coordinates, by either model reduction or modal expansion schemes to deal with spatially
incomplete situations. This article employs the direct mode shape expansion method, by applying a hybrid vector that is constructed
by measured values at master degrees of freedom (dofs) and constant values at slave dofs, to expand the measured spatially incomplete
mode shape based on a series of modification factors. One theoretical development is that model updating or damage detection using
Cross Model Cross Mode (CMCM) method is firstly combined with the direct mode shape expansion scheme for dealing with spatial
incompleteness. The other development is a new indicator, i.e., modal strain energy change indicator (MSECI) is presented based on
traditional modal strain energy method. Numerical studies have been conducted for a three-dimensional four-story frame structure with
multiple damaged elements, as the measured modes are synthesized from finite element models. The numerical results reveal that the
direct mode shape expansion method outperforms Guyan expansion method on higher order mode shape expansion. Implementing the
CMCM method together with the direct mode shape expansion scheme, proper damge detection results can be obtained. |
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