Abstract
This paper contains the equations for the determination of the forces, displacements and stability conditions for a shell with a regular net of bars. In particular, the stability of a quadratic shell subjected successively to axial compression and torsion is considered. From these considerations it follows that such a shell, compressed by an axial force loses, its flexural-torsional stability similar to that appearing during the torsion of the classical cylindrical shell.All the equations are expressed in the difference form.
In conclusion the paper contains a description and the results of an experiment on five-segment shell compressed by an axial force.
References
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[2] E. CHWALLA, F. JOKISCH, Über das ebene Knickproblem des Stockwerkrahmens, Der Stahlbau,
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[3] [in Russian]
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[6] P. JASTRZEBSKI i R. SOLECKI, J. SZYMKIEWICZ, Kratownice, Obliczenia statyczne, Arkady Warszawa 1959.
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[8] [in Russian]
[9] R. MISES, Zeitsch. angew. Math. Mech., 3, 1923, 407.
[10] R. MISES, RATZERSDORFER, Zeitsch. angew. Math, Mech., 5, 1924, 218.
[11] [in Russian]
[12] L. A. PIPES, Appl. Math. Engineers Phys., McGraw-Hill, New York 1958.
[13] [in Russian]
[14] S. TIMOSHENKO, Theory of Elastic Stability, McGraw-Hill, New York 1936.
[15] S. TIMOSHENKO, I. WOINOWSKY-KRIEGER, Theory of Plates and Shells, McGraw-Hill, New York 1959.
[16] [in Russian]
[17] [in Russian]
[2] E. CHWALLA, F. JOKISCH, Über das ebene Knickproblem des Stockwerkrahmens, Der Stahlbau,
14, 1941.
[3] [in Russian]
[4] F. ENGESSER, Zentr. Bauverwaltung, 1891.
[5] [in Russian]
[6] P. JASTRZEBSKI i R. SOLECKI, J. SZYMKIEWICZ, Kratownice, Obliczenia statyczne, Arkady Warszawa 1959.
[17] T. KÁRMÁN, M.A. BIOT, Mathematical Methods in Engineering, McGraw-Hill, New York 1940.
[8] [in Russian]
[9] R. MISES, Zeitsch. angew. Math. Mech., 3, 1923, 407.
[10] R. MISES, RATZERSDORFER, Zeitsch. angew. Math, Mech., 5, 1924, 218.
[11] [in Russian]
[12] L. A. PIPES, Appl. Math. Engineers Phys., McGraw-Hill, New York 1958.
[13] [in Russian]
[14] S. TIMOSHENKO, Theory of Elastic Stability, McGraw-Hill, New York 1936.
[15] S. TIMOSHENKO, I. WOINOWSKY-KRIEGER, Theory of Plates and Shells, McGraw-Hill, New York 1959.
[16] [in Russian]
[17] [in Russian]
