On building finite element models of structures from modal response

Keith Hjelmstad, Mo R. Banan, Ma R. Banan

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

We develop two algorithms for estimating member stiffnesses and masses of a structure from measured modal response in conjunction with a finite element model of the structure. The mathematical model has known geometry and topology and parameterized constitutive properties. A few of the natural frequencies are measured and the corresponding modes are sampled at certain locations in space. The proposed algorithms are based on the concept of minimizing the sum of the squares of errors, specified as an index of discrepancy between the model and the structure, over all of the measured modes. The recursive quadratic programming method is used to solve the non-linear constrained estimation problem. Both proposed estimators can handle incompletely measured models, have robust convergence, and are amenable to modelling of complex structures. We demonstrate the use of our parameter estimation algorithm by applying it to identify the properties of a building from measured data.

Original languageEnglish (US)
Pages (from-to)53-67
Number of pages15
JournalEarthquake Engineering and Structural Dynamics
Volume24
Issue number1
StatePublished - Jan 1995
Externally publishedYes

Fingerprint

Quadratic programming
Parameter estimation
Natural frequencies
Stiffness
Topology
Mathematical models
topology
stiffness
Geometry
geometry
modeling
index
method
parameter estimation

ASJC Scopus subject areas

  • Earth and Planetary Sciences (miscellaneous)
  • Geotechnical Engineering and Engineering Geology

Cite this

On building finite element models of structures from modal response. / Hjelmstad, Keith; Banan, Mo R.; Banan, Ma R.

In: Earthquake Engineering and Structural Dynamics, Vol. 24, No. 1, 01.1995, p. 53-67.

Research output: Contribution to journalArticle

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