Zhurnal SVMO, 2013, Volume 15, Number 2, Pages 77–85(Mi svmo387)
In Middle Volga Mathematical Society
Method of dual restoration on minors the senior orders of
a matrix of regional conditions in the return spectral task for a
pipe from not proceeding liquid
Abstract:
The decision method is given in work problems of
diagnosing of any fixing of a narrow pipe with not proceeding
liquid. The method is reduced to restoration on minors the highest
orders of two matrixes of regional conditions of the return spectral
tasks. The solution of a task is considered at known exact and
approximate values of frequencies of flexural fluctuations of the
pipe filled liquid. On the found method of the solution of the
return spectral task continuous dependence of the decision on
frequencies of fluctuations of a pipe is proved with not proceeding
liquid. Examples are given.
Keywords:pipe from not proceeding liquid,
frequencies of fluctuations, matrix of regional conditions, minors
matrixes, diagnosing of fixing, method of restoration of matrixes.