Adaptive sensing of kinematic entities in the vicinity of a time-dependent geometrically nonlinear pre-deformed state |
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Authors: | Michael Krommer Yury Vetyukov |
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Institution: | Institute for Technical Mechanics, Johannes Kepler University Linz, Altenbergerstrasse 69, 4040 Linz, Austria |
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Abstract: | A continuously distributed strain-type sensor can be designed to produce a signal proportional to a desired kinematic entity in the geometrically linear range. The corresponding spatial distribution of the sensor is found as a solution to an auxiliary problem of statics. For a geometrically nonlinear setting we suggest a new general method to design continuous strain-type sensors for measurements in the vicinity of a known pre-deformed state. This method is formulated for a general three-dimensional continuum, and a numerical implementation for rod structures is presented. The efficiency is first demonstrated for a nonlinear static deformation of a spatial rod structure; the modern approach to numerical modeling of rods with no shear deformation is utilized. Another example of in-plane vibrations of a rod demonstrates the benefit of the adaptive recomputation of the sensor distribution accounting for the actual time-dependent pre-deformation. |
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