Multi-metric strain estimation at unmeasured locations of plate structures using augmented Kalman filter

Dyan Melvin, Hongki Jo, Babak Khodabandeloo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A gusset plate is a structural element that is commonly used to provide moment connections between steel members. Despite their importance, the performance of gusset plates in field structures can be poorly understood making them susceptible to failure. A well-known example is the catastrophic collapse of the I-35W Bridge in Minneapolis, MN on August 1, 2007 caused by a gusset plate failure. To prevent this type of failure, it is necessary to better predict and understand the stress and strain distribution in a plate element during field conditions. This work approaches the problem by using a numerical model combined with a linear recursive state estimation algorithm, known as the Kalman Filter, to update the model-based prediction with real time measurements taken on the structure. The finite element model was developed using the Mindlin plate theory which incorporates bending and shear deformations of the plate in the out-of-plane direction. The strain responses at arbitrary locations are estimated throughout the plate, including unmeasured locations, using limited sensor information and in the presence of noise and model errors. The results show how the different combinations of sensor data impact strain estimation accuracy under various loading conditions. The different combinations considered are: strain only, acceleration only, and acceleration and strain. The numerical studies demonstrate that the most accurate estimations are provided with the multi-metric combination of acceleration and strain. This opens future paths of development for force estimation, finding stress concentrations and buckling prediction in plate elements and potential expansion to shell elements.

Original languageEnglish (US)
Title of host publicationSensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2016
EditorsJerome P. Lynch
PublisherSPIE
ISBN (Electronic)9781510600447
DOIs
StatePublished - Jan 1 2016
EventSensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2016 - Las Vegas, United States
Duration: Mar 21 2016Mar 24 2016

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume9803
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Other

OtherSensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2016
CountryUnited States
CityLas Vegas
Period3/21/163/24/16

Keywords

  • Kalman Filter
  • Mindlin plate theory
  • Multi-metric sensor
  • Structural health monitoring

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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  • Cite this

    Melvin, D., Jo, H., & Khodabandeloo, B. (2016). Multi-metric strain estimation at unmeasured locations of plate structures using augmented Kalman filter. In J. P. Lynch (Ed.), Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2016 [980348] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 9803). SPIE. https://doi.org/10.1117/12.2219203