Theoretical and experimental vibration analyses of trapezoidal and sinusoidal corrugated plates

In this study, the dynamic behavior of trapezoidal and sinusoidal corrugated plates, which are widely used in the fields of space, aviation, automotive design, construction, and shipbuilding, was analyzed. A total of 330 different surface models of corrugated plates with varying corrugation heights, widths and numbers of corrugations were created, which have various manufacturing parameters. At this stage, the total number of natural frequency and mode shape analyses conducted for different boundary conditions is 660, where 330 are for four sides free and 330 are for four sides encastre. Mode shapes were also obtained using the finite element method. In addition, changes in the trapezoidal cross-sectional profile were investigated by analyzing 38 different plates with varying cross-sectional profiles. Examining these results, the effects of corrugation height and number on the natural frequencies and mode shapes of the plate were determined. As a result of the study, a total of 368 plate drawings were prepared, and 736 analyses for two types of boundary conditions were performed. Moreover, the theoretical results were verified using the experimental modal analysis technique for some selected models that are being manufactured in the market.