Determination of critical loads in the three-dimensional stability problem of thin-walled bar of angular profile
Source abstract
Abstract
The paper considers a plane stability problem of thin-walled bar of angular profile made of an isotropic linearly elastic material. The critical parameters were determined with the aid of the second version of three-dimensional linearized stability theory and the ground state from equations of the linear theory of elasticity. The approximate solution of the stability problem was sought by the net method. The dependence of the critical parameters on the thin-walledness parameter of structure has been examined, and the errors of the applied stability theory, which is used for the design of frameworks, have been determined.
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Research context
OpenAlex topics: Elasticity and Wave Propagation · Geotechnical and Geomechanical Engineering · Material Science and Thermodynamics
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References (15)
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1. N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel’kov, Numerical Methods [in Russian], Nauka, Moscow (1987).
2. B. G. Galerkin, Collected Works [in Russian], SSSR Academy of Sciences Publishers, Moscow (1952).
3. V. T. Golovchan, A. N. Guz’, Yu. V. Kokhanenko, and V. I. Kushch, Mechanics of Composites. In 12 Volumes, Vol 1. Statics of Materials [in Russian], Naukova Dumka, Kiev (1993).
4. A. N. Guz’, Stability of Three-Dimensional Deformable Bodies [in Russian], Naukova Dumka, Kiev (1971).
5. A. N. Guz’ and I. Yu. Babich, Three-Dimensional Stability Theory of Bars, Plates, and Shells [in Russian], Vyshcha Shkola, Kiev (1980).
6. A. N. Guz’, Foundations of the Three-Dimensional Stability Theory of Deformable Bodies [in Russian], Vyshcha Shkola, Kiev (1986).
7. A. N. Guz’ and Yu. V. Kokhanenko, “Solution of plane problems of the three-dimensional theory of elastic stability of plates at inhomogeneous subcritical states,” Prikl. Mekh., 13, No 12, 63–72 (1977).
8. A. N. Guz’, V. S. Zelenskii, and Yu. V. Kokhanenko, “On the solution of three-dimensional problems of the three-dimensional theory of elastic stability of plates and bars at inhomogeneous subcritical states,” Mekh. Kompozit. Mater., No 3, 62–64 (1980).
9. V. S. Zelenskii, “Three-dimensional stability problem of coupled bars at inhomogeneous subcritical states,” Dop. NAN Ukrayiny, No. 2, 44–46 (1995).
10. Yu. V. Kokhanenko, “Numerical solution of problems of the elasticity theory and three-dimensional stability of piecewise inhomogeneous media,” Prikl. Mekh., 22, No 1, 46–53 (1986).
11. V. S. Zelenskii and Yu. V. Kokhanenko, “Numerical solution of a plane problem of the three-dimensional stability of coupled rectangular plates,” Dop. NAN Ukrayiny, No. 9, 62–66 (1998).
12. B. Parlett, Symmetric Eigenvalue Problem. Numerical Methods [Russian translation], Mir, Moscow (1983).
13. A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1983).
14. A. N. Guz’, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin-Heidelberg (1999).10.1007/978-3-540-69633-9 ↗
15. Yu. V. Kokhanenko, “Method of solving problem of the three-dimensional stability of composite laminates,” Appl. Mech., 34, No. 3, 239–249 (1998).