A new vibration-based multiaxial fatigue testing methodology for assessing high-cycle turbine engine material fatigue strength at various stress ratios is presented. The idea is to accumulate fatigue energy on a base-excited plate specimen at high-frequency resonant modes and to complete a fatigue test in a much more efficient way at very low cost. The methodology consists of (1) a topological design procedure, incorporating a finite element model, to characterize the shape of the specimens for ensuring the required stress state/ pattern, (2) a vibration feedback empirical procedure for achieving the high-cycle fatigue experiments with variable-amplitude loading, and finally (3) a yielding procedure for achieving various uniaxial stress ratios. The performance of the methodology is demonstrated by the experimental results from mild steel, 6061-T6 aluminum, and Ti-6Al-4V plate specimens subjected to fully reversed bending for both uniaxial and biaxial stress states.
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