What is it about?
When beams undergo large deformations with small strains, the dependence of the strains on the deformation is nonlinear. We reconstruct the deformed shape of a beam as a linear combination of predefined shapes using surface strain measurements in a novel manner, which transforms the nonlinear problem into a cascade of two linear problems. The solution is very efficient, accurate and robust, with fixed computational cost; it can be easily implemented in real-time, resulting in a very effective shape sensor.
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Why is it important?
The procedure we devised for the reconstruction of the shape is very simple and effective. It results from a specific definition of the norm of the reconstruction error that greatly simplifies the problem, turning it into a sequence of two linear problems. When applied to hingeless helicopter rotors - the practical driver of our development - it paves the way to the possibility of rather sophisticated control systems for flight dynamics, envelope protection and so on, all opportunities we intend to explore in the near future.
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This page is a summary of: Rotor blade shape reconstruction from strain measurements, Aerospace Science and Technology, August 2018, Elsevier,
DOI: 10.1016/j.ast.2018.06.012.
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