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Abstract
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In this study, the torsional vibration analyses of elliptical and triangular rods were examined. In addition, the effect of aggregate type and fly ash content on numerical analyses was shown. For this purpose, six different concrete specimens were prepared by partial replacement (0%, 15%, and 35%) of cement with fly ash, and utilization of two different aggregate types (limestone and basalt). Two different rod types were considered with warping function effects. These rods with elliptical and triangular cross-sections were modeled at deformable end conditions. The deformable end conditions were received with torsional springs. It was aimed at an eigenvalue solution to determine the torsional vibration frequencies of rods with the effects of warping functions and deformable springs. Utilizing a Fourier sine series and Stokes’ transform, an eigenvalue solution was obtained. The originality of this research is found in its thorough examination of torsional vibrations, which takes into account the combined effects of aggregate type, cross-section type, warping function, and deformable ends, offering new perspectives on the behavior of these intricate systems. With the help of this solution effect of aggregate type, cross-section type, warping function, deformable end, and non-deformable end can be investigated.
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