Application of correction factors in Rayleigh method in calculation of the fundamental frequency of vibration Cylindrical shell with rectangular cross section

A number of gas turbine engine components, in particular, combustion chamber flame tube hoods, jet nozzles, afterburner chambers and some elements the power body can be considered as thin-walled shells. Loads which excite vibrations these assemblies are gas-dynamic forces flow pulsation, loads transferred from supports rotation unbalanced rotor, non-stationary flowing by an incoming air stream, dynamic loads, to through its attachment units aeroplane at landing run, etc. The magnitude nature variation time not always describable, but their spectral composition is well studied. In this connection it advisable set solve problem calculation such a frequencies own order tune out dangerous resonance modes. Most GTE structures nodes carried cylindrical Therefore, below shells configuration will considered. addition, should noted that basic properties frequency spectrum with curvilinear formations have great qualitative similarity features We consider using correction factors Rayleigh method for calculating fundamental shell rectangular cross section. regularities behaviour coefficients systematised. relation between type obtained approximated formula has been analyzed.