Experimental and Numerical Comparison Between  the Natural Frequency of Cracked Simply Supported  Hollow and Solid Beams

Luay S. Al–Ansari

Volume : III, Issue : IX, September - 2013

Experimental and Numerical Comparison Between the Natural Frequency of Cracked Simply Supported Hollow and Solid Beams

Luay S. Al Ansari

Abstract :

This research presents a comparison of the natural frequency between solid and hollow simple supported cracked beam for different crack depths and positions. Three methods utilized in this research experimental and two numerical method (Rayleigh Method and Finite Element Method (using ANSYS)). The beam is made of iron with dimensions of L*W*H=(0.84*0.02* 0.02m ), and density = 7680kg/m3, E=200Gpa. A comparison made between ANSYS results with experimental results, the biggest error percentage is about (17%) in crack position (42 cm) and depth (10 mm) for the hollow beam. While the biggest error percentage between Rayleigh method with experimental results is about (29 %) for the same crack position and depth and for the hollow beam. The effect of the depth of the crack on the natural frequency of hollow beam is nearly the same effect as in the solid beam as a ratio.