NUMERICAL METHOD OF DETERMINING THE PARAMETERS OF THE FIRST STAGE OF CREEP STRAIN

Дата поступления: 
26.10.2017
Рубрика: 
Год: 
2017
Номер журнала (Том): 
УДК: 
519.688
DOI: 

10.26731/1813-9108.2017.4(56).40-48

Файл статьи: 
Страницы: 
40
48
Аннотация: 

The phenomenon of creep needs to be taken into account in the design of structural elements. The estimation of parameters of the creep models is an important scientific problem, and the known numerical methods have a number of disadvantages. As a consequence, the development of new numerical method for estimation of parameters of creep models is an actual issue. The linear regression model of creep has been constructed, together with the dependencies between parameters of the creep model and coefficients of the linear regression model. The iterative procedure of the RMS estimation of the regression model coefficients is developed and described. The developed numerical method has been applied in the experimental processing of the creep data, and the results show high efficiency of the numerical method.

Список цитируемой литературы: 

1.   Granovskii V. A., Siraya T. N. Metody obrabotki eksperimental'nykh dannykh pri izmereniyakh [Methods of processing experimental data in the process of measurements]. Moscow: Energoatomizdat Publ., 1990, 288 p.

2.   Demidenko E. Z. Lineinaya i nelineinaya regressii [Linear and non-linear regressions]. Moscow: Finansy i statistika Publ., 1981, 302 p.

3.   Draper N.R., Smith H. Applied Regression Analysis. New York: Wiley, 1966. 407 p. (Russ. ed.: Dreiper N., Smit G. Prikladnoi regressionnyi analiz. Kn. 2: per. s angl. Moscow: Finansy i statistika Publ., 1987, 351 p.).

4.   Zoteev V.E. Matematicheskie osnovy postroeniya raznostnykh uravnenii dlya zadach parametricheskoi identifikatsii [Mathematical Foundations of Construction of Difference Equations for Problems of Parametric Identification]. Vestnik Samar. gos. tekhn. un-ta. Ser.: Fiziko-matematicheskie nauki [Vestnik of Samara State Technical University. Ser.: Physical and mathematical sciences], 2008, No.2 (17), pp. 192–202.

5.   Zoteev V.E. Parametricheskaya identifikatsiya dissipativnykh mekhanicheskikh sistem na osnove raznostnykh uravnenii [Parametric identification of dissipative mechanical systems based on difference equations]. Moscow: Mashinostroenie Publ., 2009, 344 p.

6.   Zoteev V.E. Parametricheskaya identifikatsiya lineinoi dinamicheskoi sistemy na osnove stokhasticheskikh raznostnykh uravnenii [Parametric identification of a linear dynamical system on the basis of stochastic difference equations]. Matematicheskoe modelirovanie [Mathematical Models and Computer Simulations], 2008, Vol. 20, No. 9, pp. 120–128.

7.   Zoteev V.E., Zausaeva M.A. Opredelenie parametrov dvumernykh dinamicheskikh protsessov na osnove raznostnykh skhem [Determination of the parameters of two-dimensional dynamic processes on the basis of difference schemes]. Vestnik Samar. gos. tekhn. un-ta. Ser.: Fiziko-matematicheskie nauki [Vestnik of Samara State Technical University. Ser.: Physical and mathematical sciences]. 2010, No. 1 (20). pp.154–161.

8.   Lokoshchenko A.M. Modelirovanie protsessa polzuchesti i dlitel'noi prochnosti metallov [Modeling of creep and long-term strength of metals]. Moscow: Moscow State Industrial University Publ., 2007, 263 p.

9.   Pshenichnyi B. N., Danilin Yu. M. Chislennye metody v ekstremal'nykh zadachakh [Numerical methods in extremum problems]. Moscow: Nauka Publ., 1975, 319 p.

10. Radchenko V.P., Eremin Yu.A. Reologicheskoe deformirovanie i razrusheniya materialov i elementov konstruktsii [Rheological deformation and destruction of materials and structural elements]. Moscow: Mashinostroenie Publ., 2004, 264 p.

11. Raschety i ispytaniya na prochnost'. Raschetnye metody opredeleniya nesushchei sposobnosti i dolgovechnosti elementov mashin i konstruktsii [Calculations and strength tests. Calculation methods for determining the bearing capacity and durability of machine elements and structures]. Moscow: Russian research institute of standardization and certification in mechanical engineering Publ., 1982.

12. Romanyuk M.A. Chislennye metody opredeleniya parametrov nelineinykh matematicheskikh modelei na osnove stokhasticheskikh raznostnykh uravnenii : dis. ... kand. tekhn. Nauk [Numerical methods for determining the parameters of nonlinear mathematical models on the basis of stochastic difference equations: Ph.D. (Engineering) thesis]. Samara, 2014, 378 p.

13. Samarin Yu.P. Postroenie eksponentsial'nykh approksimatsii dlya krivykh polzuchesti metodom posledovatel'nogo vydeleniya eksponentsial'nykh slagaemykh [Construction of exponential approximations for creep curves by the method of sequential extraction of exponential terms]. Problemy prochnosti [Strength of Materials], 1974. No. 9, pp. 24–27.

14. Chetyrkin E. M. Statisticheskie metody prognozirovaniya [Statistical methods of forecasting]. Moscow: Statistika Publ., 1977, 200 p.