Abstract
The early studying of natural frequencies and associated mode shapes for different geometric parameters and different boundary conditions is considered an integral approach that has received great attention in industrial applications to prevent catastrophic failure in machines. The effect of different diameters (Solid and Hollow) on the transverse bending and torsional natural frequencies on a uniform steel beam with a circular cross-section is studied. The effect of different materials and different beam lengths on the fundamental transverse bending and torsional natural frequencies are introduced for Fixed-Free supported beam. Theoretical analysis calculation and the Finite Element Methods using ANSYS Workbench 17 software results are introduced. Theoretical and numerical methods give approximately the same results. Figures of effects of the beam length, material types, and different inner diameters on the transverse bending, and torsional natural frequencies of the uniform beam are performed.
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