Abstract
Detuning of gas turbine blades in order to avoid high cycle fatigue failure due to large resonant stresses is often unfeasible. A possible solution is to add an external source of damping, in the form of dry friction devices such as the under-platform damper. The relative movement between the blades causes possible slip between damper and blade surfaces. Due to the nonlinear nature of dry friction, dynamic analysis of structures constrained through frictional contacts is difficult, commercial finite element codes using time step integration are not suitable given the large computation times. For this reason, ad hoc numerical codes have been developed in the frequency domain. Some authors Yang and Menq (J Eng Gas Turbine Power 120:410–417, 1998) [1], Sanliturk et al. (J Eng Gas Turbine Power 123:919–929, 2001) [2], Csaba (Proceeding of ASME Gas turbine and aeroengine congress and exhibition) [3], Panning et al. (Int J Rotating Mach 9:219–228, 2003) [4] prefer a separate routine in order to compute contact forces as a function of input displacements, others Cigeroglu et al. (J Eng Gas Turbine Power 131:022505, 2009) [5], Firrone et al. (Modelling a friction damper: analysis of the experimental data and comparison with numerical results, 2006) [6], Firrone and Zucca (Numerical analysis—theory and application, 2011) [7] include the damper in the FE model of the bladed array. The available numerical models of dampers require a description of the contact conditions, both in the normal and in the tangential directions. The approach proposed here differs from those available in the literature in that the tangential force-displacement behaviour is described by arrays of springs in parallel, but, unlike pre-existing models, it introduces a variable sharing of normal force according to the approach along the normal. It thus modulates the tangential stick-slip capabilities according to normal force and approach and is capable to reproduce the analytical contact description as originally proposed by Cattaneo (Accademia dei Lincei 6:P I; 342–348, P II; 434–436, P III; 474–478, 1938) [8] and Mindlin and Deresiewicz (J Appl Mech 20:327–344, 1953) [9]. The paper shows how the model can be described and tuned in reference to the analytical Cattaneo and Mindlin’s benchmark for a spherical contact. It is proved that parameters tuned for a certain normal load will correctly simulate the tangential behaviour at any other lower normal load and finally that the transitions between cycles at different normal loads is correctly described. The paper further shows an application to a cylindrical contact where the tangential characteristics are derived from purposely taken experimental measurements.
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Yang BD, Menq CH (1998) Characterization of contact kinematics and application to the design of wedge dampers in turbomachinery blading: part 1—Stick-slip contact kinematics. J Eng Gas Turbine Power 120:410–417
Sanliturk KY, Ewins DJ, Stanbridge AB (2001) Underplatform dampers for turbine blades: theoretical modelling, analysis and comparison with experimental data. J Eng Gas Turbine Power 123:919–929
Csaba G, Modelling of a microslip friction damper subjected to translation and rotation. In: Proceeding of ASME Gas turbine and aeroengine congress and exhibition, 99-GT-149
Panning L, Sextro W, Popp K (2003) Spatial dynamics of tuned and mistuned bladed disks with cylindrical and wedge-shaped friction dampers. Int J Rotating Mach 9:219–228
Cigeroglu E, An N, Menq CH (2009) Forced response prediction of constrained and unconstrained structures coupled through frictional contacts. J Eng Gas Turbine Power 131:022505
Firrone CM, Botto D, Gola MM (2006) Modelling a friction damper: analysis of the experimental data and comparison with numerical results. ESDA, Turin
Firrone CM, Zucca S (2011) Modelling friction contacts in structural dynamics and its application to turbine bladed disks. In: Awrejcewicz J (ed) Numerical analysis—theory and application, pp 301–334. INTECH, Rijeka
Cattaneo C (1938) Sul contatto di due corpi elastici: distribuzione locale degli sforzi. Accademia dei Lincei 6:P I; 342–348, P II; 434–436, P III; 474–478
Mindlin RD, Deresiewicz H (1953) Elastic spheres in contact under varying oblique forces. J Appl Mech 20:327–344
Griffin JH (1980) Friction damping of resonant stresses in gas turbine engine airfoils. J Eng Power 102:329–333
Menq C, Chidamparam P, Griffin J (1991) Friction damping of two-dimensional motion and its application in vibration control. J Sound Vib 144:427–447
Hertz H (1881) Ueber die Berührung fester elastischer Körper. Journal für die reine und angewandte Math (Crelle) 92:156–171
Mindlin RD, Manson WP, Osmer JF, Deresiewicz H (1951) Effects of an oscillating tangential force on the contact surfaces of elastic spheres. In: Proceedings of the 1st national congress of applied mechanics, pp 227
Johnson KL (1955) Surface interaction between two elastically loaded bodies under tangential forces. Proc Roy Soc, Ser A 20:531–548
Goodman L, Brown C (1962) Energy dissipation in contact friction: constant normal and cyclic tangential loading. J Appl Mech 29:17–22
Menq C, Bielak J, Griffin J (1985) The influence of microslip on vibratory response: a new microslip model. J Sound Vib 107:279–293
Gola MM, Gastaldi C (2014) Understanding complexities in underplatform damper mechanics. In: Proceeding of ASME turbo expo
Harris T (1991) Rolling bearing analysis, 3rd edn. Wiley, New York
Brändlein J (1999) Ball and roller bearings : theory, design, and application. Wiley, New York
Lavella M, Botto D, Gola M (2013) Design of a high-precision, at-on-at fretting test apparatus with hight temperature capability. Wear, ed. Elsevier, New York
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Gastaldi, C., Gola, M.M. (2015). An Improved Microslip Model for Variable Normal Loads. In: Pennacchi, P. (eds) Proceedings of the 9th IFToMM International Conference on Rotor Dynamics. Mechanisms and Machine Science, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-06590-8_14
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DOI: https://doi.org/10.1007/978-3-319-06590-8_14
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