213. reconstruction of the three-dimensional shape of slender rod like structure-an application of cosserat beam theory

Department: Structural Engineering
Faculty Advisor(s): Michael D. Todd

Primary Student
Name: Mayank Chadha
Email: machadha@ucsd.edu
Phone: 858-534-5993
Grad Year: 2019

Abstract
This research aims at determining the three dimensional global displaced shape of the slender structures from limited set of scalar surface measures. It is an exhaustive approach that captures the effect of curvature, shear, torsion and elongation. The theory developed provides both a determination of the uniaxial strain (in a given direction) anywhere in the structure and the deformed shape, given a set of strain values. The approach utilizes Cosserat rod theory and exploits a localized linearization approach that helps to obtain a local basis function set for the displacement solution in the Cosserat frame. For the assumed deformed shape (both the mid-curve and the cross-section orientation), the uniaxial value of strain in any given direction is obtained analytically, and this strain model is the basis used to predict the shape via an approximate local linearized solution strategy. Error analysis due to noise in measured strain values and in uncertainty in the proximal boundary condition is performed showing uniform convergence with increased sensor count. There are multiple instances where it is desirable to reconstruct the full-field deformed shape of objects like pipeline, surgical tubing, suspension cables etc. The potential applications also includes the shape sensing of DNA by relating certain chemical property of DNA to the strain measurements.

Industry Application Area(s)
Aerospace, Defense, Security | Life Sciences/Medical Devices & Instruments | Structural health monitoring

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