Adaptive sensing of kinematic entities in the vicinity of a time-dependent geometrically nonlinear pre-deformed state
✍ Scribed by Michael Krommer; Yury Vetyukov
- Book ID
- 104018409
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 529 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0020-7683
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✦ Synopsis
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.