
doi: 10.2514/3.11833
Summary: A sensitivity-based methodology for improving the finite element model of a given structure using test modal data and a few sensors is presented. The proposed method searches for both the location and sources of the mass and stiffness errors and does not interfere with the theory behind the finite element model while correcting these errors. The updating algorithm is derived from the unconstrained minimization of the squared \(L_ 2\) norms of the modal dynamic residuals via an iterative two-step staggered procedure. At each iteration, the measured mode shapes are first expanded assuming that the model is error free, then the model parameters are corrected assuming that the expanded mode shapes are exact. The numerical algorithm is implemented in an element-by-element fashion and is capable of ``zooming'' on the detected error locations. Several simulation examples which demonstrate the potential of the proposed methodology are discussed.
Finite element methods applied to problems in solid mechanics, Vibrations in dynamical problems in solid mechanics, modal dynamic residuals, Optimization problems in solid mechanics, test modal data, iterative two-step staggered procedure, unconstrained minimization
Finite element methods applied to problems in solid mechanics, Vibrations in dynamical problems in solid mechanics, modal dynamic residuals, Optimization problems in solid mechanics, test modal data, iterative two-step staggered procedure, unconstrained minimization
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 222 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 1% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 1% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
