Stability of inflectional elasticae centered at vertices or inflection points

Author:

Sachkov Yu. L.,Levyakov S. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference43 articles.

1. A. A. Agrachev and Yu. L. Sachkov, Geometric Control Theory (Fizmatlit, Moscow, 2004); Engl. transl.: Control Theory from the Geometric Viewpoint (Springer, Berlin, 2004).

2. S. N. Korobeinikov, “Secondary Loss of Stability of a Simply Supported Rod,” in Lavrent’ev Readings on Mathematics, Mechanics, and Physics: Proc. 4th Int. Conf. (Inst. Hydrodynamics, Sib. Branch RAS, Novosibirsk, 1995), p. 104.

3. A. N. Krylov, “On the Equilibrium Forms of Columns in Buckling,” in Selected Works (Izd. Akad. Nauk SSSR, Leningrad, 1958), pp. 486–538 [in Russian].

4. V. V. Kuznetsov and S. V. Levyakov, “Secondary Loss of Stability of an Euler Rod,” Prikl. Mekh. Tekh. Fiz. 40(6), 184–185 (1999) [J. Appl. Mech. Tech. Phys. 40, 1161–1162 (1999)].

5. V. V. Kuznetsov and S. V. Levyakov, “Elastica of an Euler Rod with Clamped Ends,” Prikl. Mekh. Tekh. Fiz. 41(3), 184–186 (2000) [J. Appl. Mech. Tech. Phys. 41, 544–546 (2000)].

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