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Direct Determination Of The Dynamic Elastic Modulus And Poisson's Ratio Of Timoshenko Prisms And Rods, Guadalupe Leon

Graduate Theses, Dissertations, and Problem Reports

In this study, the exact solution of the Timoshenko beam vibration frequency equation under free-free boundary conditions was determined with an accurate shear shape factor. The exact solution was compared with a 3-D finite element calculation using ABAQUS program, and the difference between the exact solution and the 3-D FEM was within 0.15% for both the transverse and torsional modes. Furthermore, relationships between the resonance frequencies and Poisson’s ratio were proposed that can directly determine the elastic constants, unlike the equations provided by ASTM C215. The frequency ratio between the 1^st bending mode and the 1^st torsional mode, …