Nonlinear Cyclic Transient Dynamic Analysis for Bladed Disk Tip Deflection
Résumé
High aspect ratio rotating structures such as fan blade and first stage compressor blades have the potential to undergo large dynamic deflections under unsteady aerodynamic excitation. The presence of nonlinear geometric effects in the vibratory response limits the use of traditional cyclic symmetry in linear harmonic forced response analyses. In this paper a methodology is developed to calculate the nonlinear dynamic response of cyclic structures undergoing large vibratory deformation under a traveling wave excitation using a double-sector model and transient dynamic analysis. It is shown that the results from the double-sector model are in good agreement with the results obtained from a full wheel nonlinear transient dynamic analysis when nonlinear geometric effects are concentrated near the blade tip away from the sector edges where cyclic constraint equations are enforced. The quality of agreement gradually degrades as the amount of nonlinear geometric effects near the cyclic sector boundaries increase.
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