LONGITUDINAL COMPRESSION OF A ROD WITH AN INITIAL LOSS ACQUIRING INDUCED ANISOTROPY
https://doi.org/10.33979/2073-7416-2023-106-2-25-38
Abstract
A centrally compressed flexible rectilinear steel rod is considered. Due to the existing initial imperfection in the form of a perish, the rod works as a compressed-curved one. The inhomogeneity of the stress state from bending leads to the constraint of deformations that cause a change in the elastic characteristics of the material. To obtain the equation of the rod in the deflected state, the incremental theory of nonlinear deformation of bodies in inhomogeneous stress fields with induced anisotropy of properties proposed earlier by the authors is used. The inhomogeneity of the stress field causes the variability of the elastic characteristics of the material, which, due to the induced incremental curvilinear anisotropy, lead to a change in the design parameters of the structure. The solution is based on the numerical implementation of the curved axis equation using the method of variable elasticity parameter. The growth of deflections at the stages of sequential loading with increasing force is analyzed. Various variants of initial curvatures, including vanishing small ones, are considered. Regardless of the magnitude of the initial deflection, a noticeable increase in the compressive force was found, corresponding to a significant increase in deflections compared to the bifurcation approach.
About the Authors
Sergey Yu. Kalashnikov
Volgograd State Technical University
Russian Federation
Russian Federation
Advisor to the RAASN, Doctor of Technical Sciences, Professor, Head of the Department "Examination and Operation of Real Estate objects"
Volgograd
Elena V. Gurova
Volgograd State Technical University
Russian Federation
Russian Federation
Candidate of Technical Sciences, Associate Professor of the Department "Examination and Operation of Real Estate objects"
Volgograd
N. G. Bandurin
Volgograd State Technical University
Russian Federation
Russian Federation
Doctor of Technical Sciences, Professor of the Department of "Building Structures, Foundations and Reliability of Structures"
Volgograd
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Review
For citations:
Kalashnikov S.Yu., Gurova E.V., Bandurin N.G. LONGITUDINAL COMPRESSION OF A ROD WITH AN INITIAL LOSS ACQUIRING INDUCED ANISOTROPY. Building and Reconstruction. 2023;(2):25-38. (In Russ.) https://doi.org/10.33979/2073-7416-2023-106-2-25-38
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