Open Access

ARTICLE

Determination of Physical Properties of Euler Bernoulli Beam via the Method of Inverse Vibration Problem

Murat Balcı¹, Ömer Gündoˇgdu²

1 Bayburt University. Engineering Faculty. Mechanical Engineering, Bayburt, Turkey.
2 Atatürk University. Engineering Faculty. Mechanical Engineering, Erzurum, Turkey. King Abdulaziz University, Department of Mechanical Engineering, Jeddah, Saudi Arabia (Visiting Scholar).

Structural Longevity 2011, 6(3), 115-126. https://doi.org/10.3970/sl.2011.006.115

Abstract

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.

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Keywords

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