 | | 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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| M. Cacho, P.M. López-Reyes, and A. Lorenzana, "Exact Statement of the Instability Problem for Frames and Its Direct Numerical Solution," Mech. Solids. 49 (3), 334-341 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
3 |
Pages |
334-341 |
| DOI |
10.3103/S0025654414030091 |
| Title |
Exact Statement of the Instability Problem for Frames and Its Direct Numerical Solution |
| Author(s) |
M. Cacho (ITAP, University of Valladolid, Paseo del Cauce 59, Valladolid, 47011 Spain, cacho@eis.uva.es)
P.M. López-Reyes (CARTIF Centro Tecnológico, Parque Tecnológico de Boecillo 205, Valladolid, 47151 Spain, pablop@cartif.es)
A. Lorenzana (ITAP, University of Valladolid, Paseo del Cauce 59, Valladolid, 47011 Spain, ali@eis.uva.es) |
| Abstract |
A general approach for the systematic evaluation of the critical buckling load and the determination of the buckling mode is presented. The Navier-Bernoulli beam model is considered, having the possibility of variable cross-section under any type of load (including pressures and thermal loading). With this purpose, the equilibrium equations of each beam element in its deformed configuration under the hypothesis of infinitesimal strains and displacements is considered, resulting in a system of differential equations with variable coefficients for each element. To obtain the nonlinear response of the frame, one should impose the compatibility of displacements and the equilibrium of forces and moments in each beam-end, also in the deformed configuration. The solution is obtained by requiring that the total variation of potential energy is zero at the instant of buckling. The objective of this work is to develop a systematic method to determine the critical buckling load and the buckling mode of any frame without using the common simplifications usually assumed in matrix analysis or finite element approaches. This way, precise results can be obtained regardless of the discretization done. |
| Keywords |
critical buckling load, buckling mode, variable inertia, thermal loading |
| References |
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|
| Received |
17 March 2011 |
| Link to Fulltext |
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