A methodology for using Kalman filter to determine material parameters from uncertain measurements
(2015) In Materials Discovery 2. p.1-15- Abstract
A Kalman filter can be used to determine material parameters using uncertain experimental data. However, starting with inappropriate initial values for material parameters might cause false local attractors or even divergence. Also, inappropriate choices of covariance errors of the state and the measurements might affect the stability of the prediction. The present method suggests a simple way to predict the parameters and the errors required to start the Kalman filter based on known parameters and generated data with different noises used as “measurement data”. Diffusion coefficients for bovine bone and viscoplastic steel parameters are chosen as case studies in this work.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/a5169ba1-cbf4-4f28-8154-d677e4efb858
- author
- Shokry, Abdallah LU and Ståhle, Per LU
- organization
- publishing date
- 2015-01-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Diffusion in bone, Kalman filter, Least-squares, Material parameters, Uncertain measurements, Viscoplastic parameters
- in
- Materials Discovery
- volume
- 2
- pages
- 15 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:85037605140
- ISSN
- 2352-9245
- DOI
- 10.1016/j.md.2016.03.002
- language
- English
- LU publication?
- yes
- id
- a5169ba1-cbf4-4f28-8154-d677e4efb858
- date added to LUP
- 2019-11-30 00:36:25
- date last changed
- 2022-04-18 19:22:52
@article{a5169ba1-cbf4-4f28-8154-d677e4efb858, abstract = {{<p>A Kalman filter can be used to determine material parameters using uncertain experimental data. However, starting with inappropriate initial values for material parameters might cause false local attractors or even divergence. Also, inappropriate choices of covariance errors of the state and the measurements might affect the stability of the prediction. The present method suggests a simple way to predict the parameters and the errors required to start the Kalman filter based on known parameters and generated data with different noises used as “measurement data”. Diffusion coefficients for bovine bone and viscoplastic steel parameters are chosen as case studies in this work.</p>}}, author = {{Shokry, Abdallah and Ståhle, Per}}, issn = {{2352-9245}}, keywords = {{Diffusion in bone; Kalman filter; Least-squares; Material parameters; Uncertain measurements; Viscoplastic parameters}}, language = {{eng}}, month = {{01}}, pages = {{1--15}}, publisher = {{Elsevier}}, series = {{Materials Discovery}}, title = {{A methodology for using Kalman filter to determine material parameters from uncertain measurements}}, url = {{http://dx.doi.org/10.1016/j.md.2016.03.002}}, doi = {{10.1016/j.md.2016.03.002}}, volume = {{2}}, year = {{2015}}, }