Receptance Coupling Model for Variable Dynamics in Fixed-free Thin Rib Machining (Postprint)
Journal Article - Open Access,25 Jan 2007,18 Mar 2017
University of North Carolina at Charlotte Charlotte United States
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An analytical approach for predicting thin rib, fixed-free beam dynamics with varying geometries is presented. The proposed method uses receptance coupling substructure analysis RCSA to predict the stepped thickness beam receptances or frequency response functions at the fixed-free beams free end and at the change in thickness. The assembly receptances are calculated by rigidly connecting receptances that describe the individual stepped beam sections, where the section receptances are computed using the Timoshenko beam model. Comparisons with finite element calculations are completed to verify the technique. It is observed that the RCSA predictions agree closely with finite element results. Experiments are also performed, where the stepped beam thickness is changed by multiple machining passes, and receptance measurements are carried out between passes. The RCSA predictions are compared to experimental results for natural frequency and stiffness. Agreement in natural frequency to within two percent is reported.
- Fabrication Metallurgy