1. Order-Tuned Vibration Absorbers for Cyclic Rotating Flexible Structures

2. Bladed Disk Assemblies
Background
Bladed Disk Assemblies
Note that deceleration is directly proportional to…

3. Engine Order Excitation
Background
Engine Order Excitation

4. Conditions for Resonance
Background
Conditions for Resonance

5. Vibration Reduction via Order-Tuned Absorbers
Background
Vibration Reduction via Order-Tuned Absorbers

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

7. Free Vibration – One DOF/Sector
Vibration Characteristics
Free Vibration – One DOF/Sector

8. Free Vibration – One DOF/Sector
Vibration Characteristics
Free Vibration – One DOF/Sector

9. Free Vibration – One DOF/Sector
Vibration Characteristics
Free Vibration – One DOF/Sector

10. Free Vibration – One DOF/Sector
Vibration Characteristics
Free Vibration – One DOF/Sector

11. Free Vibration – One DOF/Sector
Vibration Characteristics
Free Vibration – One DOF/Sector

12. Bladed Disk Assembly with Absorbers
Mathematical Model
Bladed Disk Assembly with Absorbers
Note that deceleration is directly proportional to…

13. Linearized System Model
Mathematical Model
Linearized System Model

14. Block Decoupling the EOM
Modal Analysis
Block Decoupling the EOM

15. Steady-State Modal Response
Modal Analysis
Steady-State Modal Response

16. Steady-State Modal Response
Modal Analysis
Steady-State Modal Response

17. Steady-State Modal Response
Modal Analysis
Steady-State Modal Response

18. Special Cases Blades Locked, Absorbers Free
Gives Absorber Tuning Order
Blades Free, Absorbers Locked
A Benchmark to evaluate absorber performance
Single Isolated Sector, Blade/Absorber Free
Demonstrates the essential features of the full coupled system

19. Blades Locked, Absorbers Free
Special Case 1
Blades Locked, Absorbers Free

20. Blades Free, Absorbers Locked
Special Case 2
Blades Free, Absorbers Locked

21. Blades Free, Absorbers Locked
Special Case 2
Blades Free, Absorbers Locked

22. Single Isolated Sector, Blade/Absorber Free
Special Case 3
Single Isolated Sector, Blade/Absorber Free

23. Single Isolated Sector, Blade/Absorber Free
Special Case 3
Single Isolated Sector, Blade/Absorber Free

24. Single Isolated Sector, Blade/Absorber Free
Special Case 3
Single Isolated Sector, Blade/Absorber Free

25. Single Isolated Sector, Blade/Absorber Free
Special Case 3
Single Isolated Sector, Blade/Absorber Free

26. Single Isolated Sector, Blade/Absorber Free
Special Case 3
Single Isolated Sector, Blade/Absorber Free

27. Single Isolated Sector, Blade/Absorber Free
Special Case 3
Single Isolated Sector, Blade/Absorber Free

28. N = 10 Sectors, Blades/Absorbers Free
Linear Forced Response
N = 10 Sectors, Blades/Absorbers Free

29. Linear Forced Response
MOVIE

30. The Effects of Detuning: No-Resonance Gap
Linear Forced Response
The Effects of Detuning: No-Resonance Gap

31. Summary of Frequency Response
Linear Forced Response
Summary of Frequency Response

32. Directions for Future Work
Summary
Linear, Perfectly Periodic System
Blades/Absorbers: absorber effective
Eigenfrequency structure: no resonance zone
Directions for Future Work
Effects of damping
Effects of mistuning
General-path absorbers
Multi-DOF blade models
Nonlinear effects
Intentional mistuning