Model Updating of a Euler-Bernoulli Beam Using the Response Method
Özet
In this study, the computational model is updated using an analytical model instead of an
experimental one. Continuous and discrete parameter models of a Euler–Bernoulli beam are
constructed analytically and computationally. To construct the computational models, Ansys™
software is employed, and 1-D beam elements are chosen to get the finite element model of a
cantilever beam. To get analytical solutions for the continuous and discrete parameter models, a
state-space representation is employed. In the first step, only mass and stiffness matrices are
considered to model the beam. Eigenfrequencies and eigenvectors of the beam are calculated. The
analytical and computational eigenfrequencies of continuous and discrete parameter models are
compared. In the seconds step, non-proportional viscous damping and non-proportional structural
damping matrices are introduced into the analytical discrete parameter model. Then, the frequency
response functions of the model are generated. The damping matrices are identified using the
generated frequency response functions. The damping matrices used in the analytical model, and the
damping matrices identified using the frequency response functions are compared. It is observed
that the assigned damping matrices and the identified damping matrices are identical, which shows
that the computational model can be accurately updated provided the FRFs are available.
