The dynamic behaviour of a rotor consisting of two tuned and mistuned bladed discs on a solid shaft is considered. The effect of the shaft's flexibility on the dynamic characteristics of the bladed discs and the coupling effects between the shaft and bladed disc modes are investigated. Results show clearly the coupling effects in a bladed disc-shaft system. Interference diagrams are developed, from which the dynamic behaviour of a bladed disc can be predicted for varying flexibility relationships between solid shafts and bladed discs. The global rotating mode shapes of flexible tuned and mistuned bladed disc-shaft assemblies are calculated. Rotational effects, such as centrifugal stiffening, are accounted for and all the possible couplings between the flexible parts are allowed. Calculated natural frequencies obtained from the blade, the bladed disc and the shaft with two discs are checked to discover resonance conditions and coupling effects. It is shown that blade mistuning strongly affects the interaction between flexible bladed discs and a flexible shaft. This interaction affects the flexible bladed disc modes and is not restricted to the modes with zero, one and two nodal diameters. The torsional frequency of the shaft with two bladed discs is coupled with the zero nodal diameter modes of the single bladed discs. It is shown that including the shaft in the bladed discs model is important from the designer's point of view and may alter the spectrum of frequencies considerably.
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As a failure of rotor blades in a gas turbine was reported, the rotating-mode shapes of flexible shrouded bladed disc assemblies were calculated using a finite element approach. Rotational effects, such as centrifugal stiffening were accounted for, and all couplings between the flexible parts were allowed. The spin softening effects were neglected. A dynamic analysis of the shrouded bladed disc demonstrated that it was designed with a sufficient safety region of resonance. In case of one blade getting loose, it is vibrating in resonance.
There have been a number of SO-3 first stage compressor blade failures. An experiment was carried out on a first stage rotor blade in the compressor of an SO-3 engine at the Air Force Institute of Technology in Warsaw. The natural frequencies of rotor blades were measured. Next, the tip-timing measurement of rotor blade was done in an engine working at various speeds. Various operation conditions were assumed, such as the presence of a foreign object in the engine inlet. Structure and flow calculations were carried out to compare the experimental results. An FEM was used to calculate the natural frequencies of a mistuned bladed disk. The FLUENT code was used to calculate the unsteady forces acting on rotor blades. The mistuned bladed disk was forced to vibrate when rotating at 15000 rpm.
PL
Odnotowano wiele uszkodzeń łopatek wirnikowych pierwszego stopnia sprężarki silnika SO-3. W Instytucie Technicznym Wojsk Lotniczych w Warszawie przeprowadzono cykl eksperymentów na łopatkach wirnikowych pierwszego stopnia sprężarki silnika SO-3. Zmierzono częstotliwości drgań własnych łopatek wirnikowych. Wykonano pomiary przemieszczeń łopatek wirnikowych metodą tip-timing dla różnych prędkości obrotowych wirnika. W trakcie badań uwzględniono także obecność obcego ciała we wlocie silnika. Przeprowadzono obliczenia numeryczne przepływu w pierwszym stopniu sprężarki i drgającej ułopatkowanej tarczy, w celu porównania z wynikami otrzymanymi z badań eksperymentalnych. Metoda elementów skończonych zastosowana została do analizy drgań wymuszonych ułopatkowanej tarczy z łopatkami różniącymi się wymiarami geometrycznymi, dla nominalnej prędkości obrotowej n=15 000 obr./min. Program FLUENT zastosowany został do obliczenia niestacjonarnych sił działających na łopatki wirnikowe.
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