2022
DOI: 10.1115/1.4055416
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Assessment of Two Harmonic Balance Method-Based Numerical Strategies for Blade-Tip/Casing Interactions: Application to NASA Rotor 67

Abstract: The study presented in this paper focuses on the analysis of rubbing interactions ---including unilateral contact and dry friction--- between a rotating fan blade and a rigid casing by frequency domain methods. Two previously published Harmonic Balance Method-based methodologies are assessed: 1) an approach relying on augmented lagrangians and 2) a second method using a regularized penalty law combined with a Lanczos $\sigma$-approximation filter. As a reference point for this comparison, a time-domain numeric… Show more

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Cited by 9 publications
(1 citation statement)
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“…The presence of isolas have been reported in numerous numerical and experimental studies, with the first reports dating back to the 1950s [1]. They can be found in nonlinear mechanical systems affected by various nonlinearities: polynomial [69,50,64,30], contact and friction [66,29,40,76,67,77], hysteretic and piecewise linear elastic restoring forces [10,23,2,28], hertzian contact [62]. They were also uncovered in traf-fic flow [53], flight dynamics models [59] and systems controlled with rate-limited feedback [58].…”
Section: Introductionmentioning
confidence: 95%
“…The presence of isolas have been reported in numerous numerical and experimental studies, with the first reports dating back to the 1950s [1]. They can be found in nonlinear mechanical systems affected by various nonlinearities: polynomial [69,50,64,30], contact and friction [66,29,40,76,67,77], hysteretic and piecewise linear elastic restoring forces [10,23,2,28], hertzian contact [62]. They were also uncovered in traf-fic flow [53], flight dynamics models [59] and systems controlled with rate-limited feedback [58].…”
Section: Introductionmentioning
confidence: 95%