Energy method in solving the problems of stability for a viscoelastic polymer rods

With the energy method in the form of Ritz-Timoshenko solved the stability problem for a polymer rod under axial compression for the clamping-free edge option. The proposed form of loss of stability is chosen as a sum of functions with indeterminate coefficients. The shape functions for various fast...

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Bibliographic Details
Main Authors: Yazyev Serdar, Kozelskaya Maria, Strelnikov Grigory, Litvinov Stepan
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201712905010
Description
Summary:With the energy method in the form of Ritz-Timoshenko solved the stability problem for a polymer rod under axial compression for the clamping-free edge option. The proposed form of loss of stability is chosen as a sum of functions with indeterminate coefficients. The shape functions for various fastenings and the represented fastening of the rod in particular are considered. The result is obtained numerically using the MatLab complex. A study was made of the long critical loads. It is shown that if the compressive force does not exceed the long-term critical one, then stability loss does not occur.
ISSN:2261-236X