Construction of a mathematical model of the process of measurement control of the degradation of a construction materials used for an elastic element is analyzed using as an example a linear oscillator with variable coefficient of internal viscous friction. Control of the parameters is realized in real time by means of measurements of the deviation of the period of the oscillator’s free oscillations.
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References
V. S. Postnikov, “Temperature dependence of internal friction of pure metals and alloys,” Usp. Fiz. Nauk, 66, Iss. 1, 43–77 (1958).
V. S. Postnikov, “Relaxation phenomena in metals and alloys subjected to deformation,” Usp. Fiz. Nauk, 53, Iss. 1, 87–108 (1954).
D. Niblett and J. Wilke, “Internal friction in metals associated with dislocations,” Usp. Fiz. Nauk, 80, Iss. 1, 125–187 (1963).
Chao Chi Hao, “Measurement control of the physicomechanical parameters of construction materials used in machinery and mechanisms,” Dissertation for the Degree of Candidate in Technical Sciences, Moscow (2009).
M. I. Kiselev and V. N. Pronyakin, “A phase method of investigating cyclic machines and mechanisms based on a chronometric approach,” Izmer. Tekhn., No. 9, 15–18 (2001); Measur. Techn., 44, No. 9, 898–902 (2001).
A. S. Komshin, “Simulation modeling of the experimental parameter determination for a deteriorating vibrational system,” Izmer. Tekhn., No. 10, 5–8 (2008); Measur. Techn., 51, No. 10, 1053–1057 (2008).
A. S. Komshin, “Precision investigations of “ageing” oscillatory systems,” in: State of the Problem of Measurements: Proc. 10th All-Russia Sci. Techn. Conf., Moscow (2008), pp. 33–34.
A. S. Komshin, “Mathematical modeling of the process of degradation of the construction materials used in machine parts,” in: Fundamental and Applied Problems in Reliability and Diagnostics of Machines and Mechanisms: Proc. 9th Session of the Int. Sci. School, St. Petersburg (2009), pp. 40–42.
H. Goldstein, Classical Mechanics [Russian translation], Nauka, Moscow (1975).
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Translated from Metrologiya, No. 8, pp. 17–22, August, 2010.
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Komshin, A.S. Mathematical modeling of the process of measurement control of the degradation of construction materials. Meas Tech 53, 976–979 (2010). https://doi.org/10.1007/s11018-010-9607-6
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DOI: https://doi.org/10.1007/s11018-010-9607-6