Direct Matrix Updating Method For Structural Models Based on Measured Response

Samson Cooper, Dario Di Maio, Arnaldo Delli Carri

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)


Model updating is an important aspect of structural engineering as a result of its
regular application in structural vibration control and structural health monitoring, finite element method (FEM) has become one of the most common approach of understanding and representing the dynamic characteristics of various engineering structures. However, the present FEM is not able to provide acceptable finite element (FE) models that are in adequate agreement when compared with measured results. To narrow the gap between the output of
the finite element model and the output of a measured response, model updating technique has been introduced and used widely to update or correct the analytical FE models using measured modal data. Identification of modal frequencies and mode shapes using output-only data has been in existence in conjunction with many other consistent modal identification methods. In
this paper, a differential method for updating the mass and stiffness matrices of a structural model to replicate the measured frequency of the structure is proposed. As an initial simplified step, only the first eigen mode of the structure is considered, the updating process is carried out by applying the orthogonality conditions for the eigenvector. The technique is then generalised to assess scenarios where the first few eigen modes of the structure are measured. To validate the efficiency of the proposed method, numerical simulation based on a cantilever beam test structure is presented. The result obtained demonstrated that the differential updating method can be used to simultaneously update the analytical mass and stiffness of the model using measured vibration data. The advantage of the presented model is its simplicity and precision in computation, it can also be applied to structures with large degrees of freedom.
Original languageEnglish
Title of host publicationProceedings of ICOeV2015, International Conference on Engineering Vibration
EditorsMiha Boltezar, Marian Wieciegoch
Number of pages317
ISBN (Electronic)978-961-6536-97-4
Publication statusPublished - Sep 2015


  • Model Updating
  • Structural Modellign
  • Matrix Updating
  • Mass and Stiffness Matrix


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