 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| V. N. Paimushin, "On static and dynamic buckling modes of a rod-strip loaded by follower forces," Mech. Solids. 43 (4), 600-609 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
4 |
Pages |
600-609 |
| DOI |
10.3103/S0025654408040080 |
| Title |
On static and dynamic buckling modes of a rod-strip loaded by follower forces |
| Author(s) |
V. N. Paimushin (Scientific and Technical Center for Problems in Dynamics and Strength, Tupolev Kazan State Technical University, K. Marksa 10, Kazan, 420111, Russia, dsm@dsm.kstu-kai.ru) |
| Abstract |
In [1], it was shown that, under the action of compressing transverse forces of constant (in the deformation process) direction on the rod-strip, there are two statically possible buckling modes (for the adjacent neutral equilibrium), one of which is purely shear and the second is purely flexural and is realized without transverse strains.
In the present paper, we consider problems about static and dynamic buckling modes of a rod-strip under the separate action of longitudinal and transverse compressing and also shear forces, which belong to the class of follower forces of two types. The first type corresponds to the conservation of directions of the above forces along the basis vectors of the strained state; the second, to the conservation of one of the components of the surface forces acting along the normal to the deformed boundary surface. We show that if the transverse compressing forces are follower forces, i.e., if in the deformation process they remain normal to the surfaces to which they are applied, then the flexural buckling mode realized in the rod can be found only by the dynamic method [2] based on the use of the refined shear Timoshenko-type model for rods. |
| Received |
27 July 2007 |
| Link to Fulltext |
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