A continuous vibration theory for rotors with an open edge crack

作者: Alireza Ebrahimi , Mahdi Heydari , Mehdi Behzad

DOI: 10.1016/J.JSV.2014.03.012

关键词: VibrationStructural engineeringGalerkin methodRotor (electric)Hamilton's principleDisplacement (vector)EngineeringStress (mechanics)MechanicsFinite element methodBending

摘要: Abstract In this paper a new continuous model for flexural vibration of rotors with an open edge crack has been developed. The cracked rotor is considered in the rotating coordinate system attached to it. Therefore, bending can be decomposed two perpendicular directions. Two quasi-linear displacement fields are assumed these directions and strain stress calculated each direction. Then final obtained by composing governing equation motion using Hamilton principle solved modified Galerkin method. free analyzed critical speeds have calculated. Results compared finite element results excellent agreement observed.

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