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Mechanics
We will expect that is possible the linearization of mechanical systems. Given approach is justified since majority MS allow either linear representation, or equivalent "energy approximation" linear systems. The most important dynamic performances are eigenfrequency and damping constant. They describe each of forms of characteristic oscillations mechanical systems, and their change reflects the appearance fatigue and other damages.
Harmonic action and impingement attack broadly use for the quality control mechanical systems. Traditional use the finite differences for approximation of differential equations, describing under prototype processes, gives truncation error. Method of dynamic performance’s determination is stated in report on base of presentation of decision corresponding to differential equation in the form of the autoregressive process.
Solutions are received for the following harmonic actions: with constant frequency and amplitude; with monotonous changing frequency; with changing on given law by amplitude. They are considered also following impulse actions: rectangular pulse, adjusted forms, spectral density which differ from zero in areas of eigenfrequencies corresponding to mode shape. Checking the method on model and real signals has shown fast response and acceptable a precision of estimate.
Note. Abstracts are published in author's edition
Last update: 06-Jul-2012 (11:52:45)