VIBRATION RESPONSE OF CORRUGATED CLAMPED-FREE BEAM CONFIGURATIONS

This study investigates the frequency response and stiffness characteristics of three types of beams: flat, sinusoidally corrugated, and trapezoidally corrugated. A numerical model was developed using the ANSYS Harmonic Analysis tool, and the analysis was conducted according to the ASTM E756-03 standard. The frequency response functions for these beams, analyzed within the 0-1000 Hz range, revealed three distinct resonant frequencies for each beam type. The introduction of corrugated geometries caused a rightward shift in resonance frequencies, with the trapezoidally corrugated beam showing the most significant shift. Mode shape analysis showed that corrugated beams experienced lower maximum deformations at their respective resonance frequencies compared to the flat beam, indicating improved stiffness. The findings indicated that the increase in material modulus for the first and second modes suggested enhanced stiffness, which can be attributed to the geometric advantages provided by the corrugations. However, at the third mode, the material moduli of all beam types converged to the Young's modulus of the material, resulting in equivalent maximum deformations. This convergence suggests that the stiffness improvement due to corrugation is particularly significant in the first two modes. Overall, the study highlights the positive impact of corrugated geometries on the stiffness and frequency response characteristics of beams. These insights are valuable for structural applications where enhanced stiffness is desired.