Mathematical modeling

Methodology for identifying parameters for a system of differential equations of a mathematical model of creep

E. A. Afanaseva

Samara State Technical University

Abstract: A method for parametric identification of a system of differential equations for a mathematical model of incomplete reversibility of creep deformation has been developed. Using methods of nonlinear regression analysis, estimates of the random parameters of the system are found based on difference equations. Relationships connecting parameter estimates and coefficients of difference equations were obtained, and iterative procedures for refining parameters were developed. The method was tested on a large amount of experimental data.

Keywords: creep, nonlinear regression model, identification, difference equations

UDC: 539.376:519.651

DOI: 10.25587/2411-9326-2025-1-96-97