TY - EJOU
AU - Balcı, Murat
AU - Gündoˇgdu, Ömer
TI - Determination of Physical Properties of Euler Bernoulli Beam via the Method of Inverse Vibration Problem
T2 - Structural Longevity
PY - 2011
VL - 6
IS - 3
SN - 1944-6128
AB - In this study, some physical properties of an Euler–Bernoulli beam
was tried to be estimated by using the method of inverse vibration problem. The
Euler –Bernoulli beam was first modeled and simulated on the ANSYS program
for different boundary condition to obtain data to be used as experimental input
to the optimization program aroused during the solution of inverse problem. An
numerical model of the Euler-Bernoulli beam with unknown parameters was also
developed using a two-dimensional finite element model. Then, these two models
were embedded into the optimization program to form the objective function to
be minimized using genetic algorithms. After minimizing the squared difference
of the natural frequencies from these two models, the unknown parameters of the
beam was found. The estimated values were finally compared with the expected
values and a very good correspondence was observed.
KW - Inverse problem
KW - inverse vibration
KW - FEM
KW - Euler-Bernoulli beam
KW - Genetic algorithm
KW - free vibration
KW - ANSYS
KW - MATLAB
DO - 10.3970/sl.2011.006.115