|
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2001, Volume 42, Issue 4, Pages 155–160
(Mi pmtf2806)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Numerical analysis of branched shapes of arches in bending
L. I. Shkutin Institute of Computer Modeling, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 630090
Abstract:
Nonlinear boundary-value problems of plane bending of elastic arches under a uniformly distributed load are solved by the shooting method. The problems are formulated for a system of six first-order ordinary differential equations with a finite-rotation field independent of displacements. Simply supported and clamped cases are considered. Branching solutions of the boundary-value problems are obtained. For a simply supported arch, a set of solutions describes symmetric and nonsymmetric shapes of bending, which correspond to positive, negative, and zero loads. For a clamped arch, the set of solutions consists of symmetric shapes that occur only for positive loads.
Received: 30.10.2000 Accepted: 24.01.2001
Citation:
L. I. Shkutin, “Numerical analysis of branched shapes of arches in bending”, Prikl. Mekh. Tekh. Fiz., 42:4 (2001), 155–160; J. Appl. Mech. Tech. Phys., 42:4 (2001), 696–700
Linking options:
https://www.mathnet.ru/eng/pmtf2806 https://www.mathnet.ru/eng/pmtf/v42/i4/p155
|
Statistics & downloads: |
Abstract page: | 19 | Full-text PDF : | 9 |
|