Order-Tuned and Impact Absorbers for Rotating Flexible Structures.

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Presentation transcript:

Order-Tuned and Impact Absorbers for Rotating Flexible Structures

Background Self-tuning Impact Damper Tuned Dampers Sleeves Chamber & End Caps Turbine Blade

Order-Tuned Vibration Absorbers –Den Hartog, Denman, Shaw et al., Borowski, Duffy, … Impact Absorbers –Caughey, Masri, Shaw, Brown & North, Duffy, … Vibration Characteristics of Bladed Disk Assemblies –Many,… Relevant Previous Work

Order-Tuned Vibration Absorbers Idealized Model IMPACTS

Mathematical Model Model Features

Mathematical Model

Linear Isolated Absorber Response y

Free Linear Response Frequencies versus Rotor Speed Blade Frequency Engine Order Absorber Frequency Natural Frequency Resonance Zone

Linear Response Engine Order

Linear Response The Effects of Detuning

Linear Response The Effects of Detuning

Linear Frequency Response

Impact Response – Single Sector Ideal Collision Model y x y

Impact Response Typical Steady-State Response – Absorber (y) and Blade (x) Phase Planes x = Blade y = Absorber Impacts

Impact Response – Single Sector Impact Force Threshold vs. Rotor Speed Impacting Non-Impacting f* 

Impact Response Impact Force Threshold vs. Rotor Speed Impacting Non-Impacting f* 

Periodic Impact Response Analytical Results vs. Rotor Speed Blade Displacement Absorber Velocity At Impact Stable Unstable W/ Absorber W/O Absorber  

Impact Response Blade Displacement and Absorber Velocity vs. Rotor Speed Grazing & Chaos “Simple”   x MAX Blade Displacement Absorber Velocity At Impact

Impact Response Sample Response Transitions Simple Chaos Near-grazing

Impact Response Interesting Chaos Observed Blade Time Response Blade Poincare Map Chaotic Envelope

Impact Response Absorber Parameter Design Charts x MAX vs. force amplitude Vary Increase  Decrease e

Summary Non-impacting Response –Absorbers effective –No-resonance zone Impacting Response –Absorbers reduce resonance –Chaos near resonance, but still effective –Absorber parameters: e, , tuning Acknowledgment: Funded by NSF CMS

Directions for Future Work Non-impacting Response –Effects of Damping –Effects of Imperfections –Parameter Studies –Multi-mode sector models Impacting Response –Parameter Studies –Multi-sector analysis –Multi-mode sector models Experiments

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