Analytical formulation of the Jacobian matrix for non-linear calculation of the forced response of turbine blade assemblies with wedge friction dampers

International Journal of Non-Linear Mechanics

Volumn 41, Issue 10, 2006, Pages 1118-1127

  Borrajo, J M ^a   Zucca, S ^a   Gola, M M ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Forced response; Friction damping; Non linear dynamics; Turbine blades; Wedge dampers

Indexed keywords

BOUNDARY CONDITIONS; DAMPING; FINITE DIFFERENCE METHOD; JACOBIAN MATRICES; NATURAL FREQUENCIES; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; STRESS ANALYSIS;

DYNAMICAL STRESS ASSESSMENT; FORCED RESPONSE; INTERMEDIATE PRESSURE TURBINE (IPT); WEDGE FRICTION DAMPERS;

TURBOMACHINE BLADES;

EID: 33947139773     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2006.11.003     Document Type: Article

References (15)

1. Griffin J.H. Friction damping of resonant stresses in gas turbines airfoils. ASME J. Eng. Power 102 (1980) 329
2. Cameron T.M., Griffin J.H., Kielb R.E., and Hoosac T.M. An integrated approach for friction damper design. ASME J. Vib. Acoust., Stress Reliab. Des. 112 (1990) 175
3. Sanliturk K.Y., Imregun M., and Ewins D.J. Harmonic balance vibration analysis of turbine blades with friction dampers. ASME J. Vib. Acoust. 119 (1997) 96
4. Srinivasan A.V. Flutter and resonant vibration characteristics of engine blades. J. Eng. Gas Turbines Power, Trans. ASME 119 (1997) 742
5. Griffin J.H. A review of friction damping of turbine blade vibration. Int. J. Turbo Jet Engines 7 (1990) 297
6. Yanq B.D., and Menq C.H. Characterization of contact kinematics and application to the design of wedge damper in turbomachinery blading: Part 1-stick-slip contact kinematics. ASME J. Eng. Gas Turbines Power 120 (1998) 410
7. Sanliturk K.Y., Ewins D.J., and Stanbridge A.B. Underplatform damper for turbine blades: theoretical modelling, analysis and comparison with experimental data. ASME J. Eng. Gas Turbines Power 123 (2001) 919
8. C.H. Menq, The vibratory response of frictionally constrained gas turbine engine blades, Ph.D. Dissertation, Carnegie-Mellon University, Pittsburgh, 1985.
9. Dennis J.E., and Schnabel R.B. Numerical Methods for Unconstrained Optimisation and Non-linear Equations (1983), Prentice-Hall, Englewood Cliffs
10. Petrov E.P., and Ewins D.J. Analytical formulation of friction interface elements for analysis of nonlinear multi-harmonic vibrations of blade discs. ASME J. Turbomachinery 125 (2003) 364
11. J.M. Borrajo, Dynamics of cyclic symmetric structures having nonlinear friction damping, Ph.D. Dissertation, Politecnico di Torino, Torino, 2005.
12. Thomas D.L. Standing waves in rotationally periodic structures. J. Sound Vib. 37 (1974) 288
13. Thomas D.L. Dynamic of rotationally periodic structures. Int. J. Numer. Meth. Eng. 37 (1979) 81
14. Petrov E.P. A method for use of cyclic symmetry properties in analysis of nonlinear multiharmonic vibrations of bladed discs. ASME J. Turbomachinery 126 (2004) 175
15. Craig R.R., and Bampton M.C. Coupling of structures for dynamic analyses. AIAA J. 6 (1968) 1313