Torsion of Restrained Thin-walled Bars of Open Constant Bisymmetric Cross-section

• Autorzy: Kujawa M.
• Języki publikacji: EN

Abstrakty

EN

Elastic and geometric stiffness matrices were derived using Castigliano’s first theorem, for the case of torsion of restrained thin-walled bars of open constant bisymmetric cross-section. Functions which describe the angles of torsion were adopted from the solutions of the differential equation for restrained torsion. The exact solutions were simplified by expanding them in a power series. Numerical examples were taken from Kujawa M 2009 Static and Sensitivity Analysis of Grids. . . 97, GUT Publishing House, and Szymczak C 1978 Engineering Transaction 26 323. Convergence of the solutions was analyzed using the matrices derived for torsion angles, warping, bimoments and critical forces.

Słowa kluczowe

EN

thin-walled bars; elastic stiffness matrix; geometric stiffness matrix; restrained torsion; Castigliano’s method; torsional buckling

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2012
• Tom: Vol. 16, No 1-2
• Strony: 5--15
• Opis fizyczny: Bibliogr. 8 poz., rys., tab.

Twórcy

autor

Kujawa M.

• Department of Structural Mechanics and Bridges, Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland,

Bibliografia

• [1] Barsoum R S and Gallagher R H 1970 Int. J. Numer. Methods Eng. 2 (3) 335
• [2] Meek J L, Asce A M and Swannell P 1976 J. Eng. Mech. Div. 102 (1) 193
• [3] Przemieniecki J S 1968 Theory of Matrix Structural Analysis, McGraw-Hill, New York
• [4] Szymczak C 1978 Eng. Trans. 26 (2) 323 (in Polish)
• [5] Wolfram S 1991 Mathematica: a System for Doing Mathematics by Computer, Addison-Wesley, USA (2nd Edition)
• [6] Kwon Y W and Bang H 2000 The Finite Element Method Using MATLAB, CRC Press, New York (2nd Edition)
• [7] Vlasov V Z 1961 Thin-walled Elastic Beams, Israel Program for Scientific Translations, Jerusalem (2nd Edition)
• [8] Kujawa M 2009 Static and Sensitivity Analysis of Grids Made of Thin-walled Members, Gdansk University of Technology Publishing House, Gdansk, 97 (in Polish)