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Numerical Methods for Determining Stiffness Properties of a Bar Cross-Section

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Abstract

This paper considers some aspects of determining stiffness properties of cross-sections of bar elements and modeling the stress-strain states of bar systems. A method is proposed to find stresses based on nonlinear “stress-strain” dependencies. When numerically determining stiffness properties of a cross-section, a nonlinear analysis of a given collection of forces was performed. Using the method for performing nonlinear analysis, which is implemented in the software package “LIRA-SAPR,” the tangent and secant stiffness properties are determined. The methods proposed for determining and modeling stiffness properties allow to more precisely specify characteristics of nonlinear strain in materials and to apply them to elements of the cross-sections being designed.

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Correspondence to M. S. Barabash.

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Translated from Kibernetika i Sistemnyi Analiz, No. 2, March–April, 2019, pp. 180–187.

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Gorodetsky, O.S., Barabash, M.S. & Filonenko, Y.B. Numerical Methods for Determining Stiffness Properties of a Bar Cross-Section. Cybern Syst Anal 55, 329–335 (2019). https://doi.org/10.1007/s10559-019-00138-3

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  • DOI: https://doi.org/10.1007/s10559-019-00138-3

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