The structure shape itself is of great interest for many aerospace applications. For example,
the stability of the surface shape of large, high precision or space reflectors is
essential for the communication performance. The knowledge of static and dynamic
displacements of these structures would provide the possibility to enhance their
performance by appropriate countermeasures. During operation, however, the direct
measurement of displacements of the whole structure is often difficult. This study
investigates whole displacement field estimation using strain measurement and a
displacement–strain-transformation approach. The use of fiber Bragg gratings (FBGs) as
strain sensors for this application offers the possible implementation of an integrated sensor
network including many measurement points within only a few optical fibers.
This paper discusses many issues related to the displacement field estimation of
a dynamically excited plate using a transformation matrix based on a modal
approach. In order to reduce systematic displacement estimation errors due to
aliasing, a parametric study was performed and the sensor locations were optimized.
Experimental validation was also conducted using a cantilever plate equipped with 16
FBG sensors in an optimized configuration. The estimated displacements showed
good agreements with those measured directly from laser displacement sensors.
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