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Journal of Theoretical
and Applied Mechanics

53, 1, pp. 243-254, Warsaw 2015
FORCED VIBRATIONS ANALYSIS OF A CANTILEVER BEAM USING THE VISION METHOD
Mateusz Romaszko, Bogdan Sapiński, Andrzej Sioma
AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Kraków, Poland
e-mail: matek@agh.edu.pl; deep@agh.edu.pl; andrzej.sioma@agh.edu.pl
This article presents an analysis of forced vibrations of a homogeneous cantilever beam using a vision method. Based on measurements, displacements of defined beam points have been determined as a function of time in directions perpendicular to and along the beam axis together with the trajectory of these points in the plane of the beam transverse vibrations. A model describing the displacement of the beam with a moving holder (kinematic excitation) is presented along with formulas defining motion of points in the plane of the beam transverse vibrations, which have been verified experimentally by recording beam vibrations using a specialised vision system.
Key words: cantilever beam, vision system, vibration, mode shapes
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