Vibration Analysis of Dry Friction Damped Turbine Blades Using Singular Perturbation Theory

The dynamic behavior of a turbine blade with an attached dry friction damper is investigated. Due to the presence of both high and low frequency resonances, the system is numerically stiff and time consuming to simulate. Three reduced-order models that remove the numerical stiffness problem are developed using singular perturbation theory. Two of these models are developed for the case of small damper mass, and the third model is developed for the case of high damper stiffness. It is shown that these models are consistent with two physically-motivated approximate models that have appeared in the literature. The accuracy of each approximate model is examined for a range of system and excitation parameters through comparison with the original full-order model. It is seen that inclusion of damper mass has a significant effect on the blade system response.

[1]  C. Menq,et al.  The Influence of a Variable Normal Load on the Forced Vibration of a Frictionally Damped Structure , 1986 .

[2]  T. K. Pratt,et al.  Non-linear analysis of stick/slip motion , 1981 .

[3]  Hassan K. Khalil,et al.  Singular perturbation methods in control : analysis and design , 1986 .

[4]  Bonnie S. Heck,et al.  Singular perturbation in piecewise-linear systems , 1989 .

[5]  B. S. Heck,et al.  Singular perturbation analysis of linear systems with scalar quantized control , 1988, Autom..

[6]  Aldo A. Ferri,et al.  The behavior of a linear, damped modal system with a non-linear spring-mass—dry friction damper system attached, part II , 1983 .

[7]  Jerry H. Griffin,et al.  Effects of Static Friction on the Forced Response of Frictionally Damped Turbine Blades , 1984 .

[8]  Earl H. Dowell,et al.  Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method , 1985 .

[9]  D. I. G. Jones,et al.  A Parametric Study of Dynamic Response of a Discrete Model of Turbomachinery Bladed Disk , 1983 .

[10]  A. V. Srinivasan,et al.  Dry Friction Damping Mechanisms in Engine Blades , 1982 .

[11]  Thomas K. Caughey,et al.  Sinusoidal Excitation of a System With Bilinear Hysteresis , 1960 .

[12]  J. H. Wang,et al.  The influence of a variable friction coefficient on the dynamic behavior of a blade with a friction damper , 1991 .

[13]  R. Ibrahim.  Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part I: Mechanics of Contact and Friction , 1994 .

[14]  J. Griffin.  Friction Damping of Resonant Stresses in Gas Turbine Engine Airfoils , 1980 .

[15]  Steven W. Shaw,et al.  On the dynamic response of a system with dry friction , 1986 .

[16]  Raouf A. Ibrahim,et al.  Friction-Induced Vibration, Chatter, Squeal, and Chaos—Part II: Dynamics and Modeling , 1994 .

[17]  W. K. Chen,et al.  Investigation of the Vibration of a Blade With Friction Damper by HBM , 1992 .

[18]  Robert E. Kielb,et al.  Influence of Friction Dampers on Torsional Blade Flutter , 1986 .

[19]  J. H. Griffin,et al.  Friction damping of flutter in gas turbine engine airfoils , 1983 .

[20]  B. Heck,et al.  Model Reduction of a Coulomb Friction Damped System using Singular Perturbaion Theory , 1991, 1991 American Control Conference.

[21]  B. S. Heck,et al.  Model Reduction of Coulomb Friction Damped Systems Using Singular Perturbation Theory , 1996 .