Features of compressed rods calculations with account of initial imperfections and creep effects

Viacheslav Chepurnenko,Batyr Yazyev,Ludmila Dubovitskaya,A Zheltenkov,A Mottaeva

doi:10.1051/e3sconf/202016402003

Abstract

The article presents solutions to the problem of rod buckling, taking into account creep effects. Trigonometric series, the finite difference method in combination with the programming language MATLAB, as well as the finite element method in the ANSYS software package were used in the solutions. The behavior of the rods is researched for two types of relations between strain and stress during creep, with strains in an explicit and implicit form. When solving, the criterion of initial imperfections with their different values is used, as well as the tangential-modular theory. The results obtained for the two creep models are compared. The conclusion is made about the accuracy of the results of calculations in ANSYS with the presence of a combination of geometric and physical nonlinearity for various creep models.

Highlights

Buckling analysis of compressed rods considering creep effects has been touched on many articles, including [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
The articles [1,2,3] outline the solution to this problem using the finite difference method
Of great interest is the comparison of solutions using well-known numerical and numerical-analytical methods with the results obtained in modern FEM complexes (ANSYS, Abaqus, etc.)

Summary

Introduction

Buckling analysis of compressed rods considering creep effects has been touched on many articles, including [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. The articles [1,2,3] outline the solution to this problem using the finite difference method. The finite element method in the form of the Bubnov-Galerkin method [6,7,8,9] can be used to calculate compressed rods for creep. In the articles [17,18,19], the apparatus of the theory of probability is connected to calculate viscoelastic rods. None of these publications compare the results obtained by different methods. The purpose of the study is to assess the reliability of the results obtained using FEM complexes

Objectives

Methods

Results