NDLI: An Inverse Finite Element Strategy to Recover Full-Field, Large Displacements From Strain Measurements

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Paczkowski, Krystian Riggs, H. R.
Copyright Year	2007
Abstract	In active control of structures, it may be necessary to determine real-time displacements from measured deformations. Recently an inverse finite element method, iFEM, has been proposed to recover ‘small’ displacement fields for plate and shell structures from (small) strain measurements. A procedure to handle large displacements and nonlinear strains is presented in this paper. A similar least-squares error functional as in linear iFEM is used, but the linear strains are replaced with the Green-Lagrange strains, and a ‘total Lagrangian’ formulation is developed. As in the linear iFEM, the focus is again principally towards plate and shell structures. The functional is minimized with the finite element method. The nonlinear iFEM formulation is presented in detail and applied to a cantilever beam undergoing very large displacements. The relatively simple example is used to explore the formulation’s performance to recover large displacements. The results indicate that the approach is able to recover the large displacement field. Additional work is required to develop the method for practical application.
Sponsorship	Ocean, Offshore and Arctic Engineering Division
Starting Page	531
Ending Page	537
Page Count	7
File Format	PDF
ISBN	0791842681
DOI	10.1115/OMAE2007-29730
e-ISBN	0791837998
Volume Number	Volume 2: Structures, Safety and Reliability; Petroleum Technology Symposium
Conference Proceedings	ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering
Language	English
Publisher Date	2007-06-10
Publisher Place	San Diego, California, USA
Access Restriction	Subscribed
Subject Keyword	Large displacements Displacement recovery Inverse finite element method Ifem Errors Deformation Shells Strain measurement Finite element analysis Finite element methods Cantilever beams Displacement
Content Type	Text
Resource Type	Article

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