Abstract
The stability of the postcritical states of equilibrium of a flexible rod with clamped ends loaded by an axial force is analyzed. It is shown that the existing Lagrange elliptic-integral solution has bifurcation points and branches of solution that have not been investigated thus far.
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References
A. S. Vol'mir,Stability of Deformable Systems [in Russian], Nauka, Moscow (1967).
V. V. Kuznetsov and S. V. Levyakov, “Secondary loss of stability of an Euler rod,”Prikl. Mekh. Tekh. Fiz.,40, No. 6, 184–185 (1999).
V. V. Kuznetsov and S. V. Levyakov, “Multivalued solutions of the spatial problems of nonlinear deformation of thin curvilinear rods,”Prikl. Mekh. Tekh. Fiz.,39, No. 2, 141–149 (1998).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 3, pp. 184–186, May–June, 2000.
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Kuznetsov, V.V., Levyakov, S.V. Elastica of an euler rod with clamped ends. J Appl Mech Tech Phys 41, 544–546 (2000). https://doi.org/10.1007/BF02465309
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DOI: https://doi.org/10.1007/BF02465309