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Kucher O. G. Detection of cracked blade from bladed disk forced response using tip-timing method: simulation study [Електронний ресурс] / O. G. Kucher, V. V. Kharyton, J. -P. Laine, F. Thouverez // Авиационно-космическая техника и технология. - 2009. - № 7. - С. 155–165. - Режим доступу: http://nbuv.gov.ua/UJRN/aktit_2009_7_34
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Thouverez F. Periodic solution analysis of a rotor-stator contact nonlinear problem [Електронний ресурс] / F. Thouverez, E. Sarrouy // Авиационно-космическая техника и технология. - 2006. - № 8. - С. 69–73. - Режим доступу: http://nbuv.gov.ua/UJRN/aktit_2006_8_15 A typical problem encountered when studying turbo-machineries is studied: contact between a rotor and his stator. The contact is supposed to be permanent and frictionless. Nonlinear vibrations appear through the geometry of the problem when it is excited by an out-of-balance within the rotor. Equations are written in the rotating frame. The stability and bifurcation analysis of a particular equilibrium is carried on and exhibits two Hopf bifurcation points. The associated periodic solutions are constructed and followed, using a shooting method. A specific bifurcation diagram is then established.
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Kucher O. Harmonic balance method implementation for crack breathing process simulation [Електронний ресурс] / O. Kucher, V. Kharyton, J. -P. Laine, F. Thouverez // Авиационно-космическая техника и технология. - 2007. - № 8. - С. 150–155. - Режим доступу: http://nbuv.gov.ua/UJRN/aktit_2007_8_34 The harmonic balance method was applied to simulate nonlinear behaviour of the cracked structure subjected to the external periodic excitation. Such nonlinearity occurs then crack's sides come to the contact and it is known as crack breathing process. Contact interaction was simulated by penalty method and expression for contact force approximation was proposed.
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Kucher О. Cracked blade dynamic response model [Електронний ресурс] / О. Kucher, V. Kharyton, J. -P. Laine, F. Thouverez // Авиационно-космическая техника и технология. - 2008. - № 9. - С. 81–88. - Режим доступу: http://nbuv.gov.ua/UJRN/aktit_2008_9_18 Simulation of the cracked blade dynamic response on periodically varying load is presented. Crack induced nonlinearity is taken into account by contact simulation between crack sides. Such approach allows simulating crack breathing process in accurate way. The problem of nonlinearity is solved by harmonic balance method application. As nonlinear degrees of freedoms the relative displacements between crack sides are accepted that sufficiently decrease time expenses during nonlinear solution process.
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