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.
Skip Nav Destination
ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering
June 10–15, 2007
San Diego, California, USA
Conference Sponsors:
- Ocean, Offshore and Arctic Engineering Division
ISBN:
0-7918-4268-1
PROCEEDINGS PAPER
An Inverse Finite Element Strategy to Recover Full-Field, Large Displacements From Strain Measurements Available to Purchase
Krystian Paczkowski,
Krystian Paczkowski
University of Hawaii at Manoa, Honolulu, HI
Search for other works by this author on:
H. R. Riggs
H. R. Riggs
University of Hawaii at Manoa, Honolulu, HI
Search for other works by this author on:
Krystian Paczkowski
University of Hawaii at Manoa, Honolulu, HI
H. R. Riggs
University of Hawaii at Manoa, Honolulu, HI
Paper No:
OMAE2007-29730, pp. 531-537; 7 pages
Published Online:
May 20, 2009
Citation
Paczkowski, K, & Riggs, HR. "An Inverse Finite Element Strategy to Recover Full-Field, Large Displacements From Strain Measurements." Proceedings of the ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. Volume 2: Structures, Safety and Reliability; Petroleum Technology Symposium. San Diego, California, USA. June 10–15, 2007. pp. 531-537. ASME. https://doi.org/10.1115/OMAE2007-29730
Download citation file:
29
Views
Related Proceedings Papers
Related Articles
Three-Dimensional Solid Brick Element Using Slopes in the Absolute Nodal Coordinate Formulation
J. Comput. Nonlinear Dynam (April,2014)
A Theory for Strain-Based Structural System Identification
J. Appl. Mech (July,2001)
Related Chapters
Numerical Simulation of Spatial Synergic Interaction in the Double-Row Anti-Sliding Piles
Geological Engineering: Proceedings of the 1 st International Conference (ICGE 2007)
Subsection NB—Class 1 Components
Companion Guide to the ASME Boiler and Pressure Vessel Code, Volume 1, Fourth Edition
Meshless Methods for Full Field Displacement and Strain Measurement
Advances in Computers and Information in Engineering Research, Volume 1