Damping Identification and Model Updating of Boundary Conditions for a Cantilever Beam

Nimai Domenico Bibbo, Vikas Arora (Member of author group)

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


Model updating is a crucial tool for dynamically loaded structures as natural frequencies and damping can have a vital impact on normal operation and fatigue life. Finite element models always deviate from experimentally obtained results due to variations in mass and stiffness and the lack of a damping matrix. Thus, it is vital for many large structures, that the dynamic properties be determined experimentally and subsequently apply model updating to “tune” the finite element model.

In this paper, model updating techniques are tested on a small cantilever beam where the fixed boundary condition is assumed to be flexible and the main source of damping. The methods are tested using both simulated data and experimental data for updating the stiffness and damping matrices. The results of the analytical model are compared both before and after updating with its experimental counterpart.

The model updating procedure follows a two-step process. In step one the stiffness matrix is updated using the iterative eigensensitivity approach where selected stiffness related parameters, in this case the boundary conditions, are updated based on the sensitivities to eigenfrequencies and mode shapes. In the second step, the damping of the structure is updated.
Original languageEnglish
Title of host publicationDynamic Substructures, Volume 4 : Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020
EditorsAndreas Linderholt, Matt Allen, Walter D'Ambrogio
Publication date2021
ISBN (Print)978-3-030-47629-8
ISBN (Electronic)978-3-030-47630-4
Publication statusPublished - 2021
Event38th IMAC, A Conference and Exposition on Structural Dynamics 2020 - Houston, United States
Duration: 10. Feb 202013. Feb 2020
Conference number: 38


Conference38th IMAC, A Conference and Exposition on Structural Dynamics 2020
CountryUnited States
SeriesConference Proceedings of the Society for Experimental Mechanics Series


  • Damping identification
  • Experimental model updating
  • Modal expansion/Reduction
  • Model updating
  • Simulated model updating

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