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"NASA Technical Reports Server (NTRS) 20110023655: Dynamic Shape Reconstruction Of Three-Dimensional Frame Structures Using The Inverse Finite Element Method" and the language of the book is English.


“NASA Technical Reports Server (NTRS) 20110023655: Dynamic Shape Reconstruction Of Three-Dimensional Frame Structures Using The Inverse Finite Element Method” Metadata:

  • Title: ➤  NASA Technical Reports Server (NTRS) 20110023655: Dynamic Shape Reconstruction Of Three-Dimensional Frame Structures Using The Inverse Finite Element Method
  • Author: ➤  
  • Language: English

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  • Internet Archive ID: NASA_NTRS_Archive_20110023655

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A robust and efficient computational method for reconstructing the three-dimensional displacement field of truss, beam, and frame structures, using measured surface-strain data, is presented. Known as shape sensing , this inverse problem has important implications for real-time actuation and control of smart structures, and for monitoring of structural integrity. The present formulation, based on the inverse Finite Element Method (iFEM), uses a least-squares variational principle involving strain measures of Timoshenko theory for stretching, torsion, bending, and transverse shear. Two inverse-frame finite elements are derived using interdependent interpolations whose interior degrees-of-freedom are condensed out at the element level. In addition, relationships between the order of kinematic-element interpolations and the number of required strain gauges are established. As an example problem, a thin-walled, circular cross-section cantilevered beam subjected to harmonic excitations in the presence of structural damping is modeled using iFEM; where, to simulate strain-gauge values and to provide reference displacements, a high-fidelity MSC/NASTRAN shell finite element model is used. Examples of low and high-frequency dynamic motion are analyzed and the solution accuracy examined with respect to various levels of discretization and the number of strain gauges.

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