FIELD: machine building.
SUBSTANCE: there are excited bending self-oscillations of reference and analysed cantilevers. Also, for determination of coordinate, length and depth of open fracture of flexible cantilever there are measured the first three frequencies Ω1, Ω2, Ω3, and Ω1*, Ω2*, Ω3* of self-oscillations of the reference and analysed cantilevers correspondingly. Further, from the frequency equation made for a model beam without a fracture, there is determined value of its first three frequencies ω1, ω2, ω3 of self-oscillations. Through ratio of values of corresponding frequencies of oscillations of the model and reference cantilevers without fractures there are found three frequency coefficients k1, k2, k3 of reference of model correction: k1=ω1/Ω1, k2=ω2/Ω2, k3=ω3/Ω3, there are multiplied measured values of the first three frequencies Ω1*, Ω2*, Ω3* of self-oscillations of analysed cantilever with an open fracture to corresponding frequency coefficients of correctness, and there are found exactly the values of the first three frequencies ω1*=k1/Ω1*, ω2*=k2/Ω2*, ω3*=k3/Ω3* of self-oscillations used in the frequency equation on the model cantilever with a cut for calculation of its coordinate, length and depth corresponding to coordinate, length and depth of open fracture of analysed flexible cantilever.
EFFECT: determination of coordinate and dimension of open fracture of flexible cantilever.
4 dwg
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Authors
Dates
2011-04-10—Published
2010-02-09—Filed