We formulate and solve the problem of determining the shape of an elastic rod stable against buckling and having minimal volume. The rod is loaded by a concentrated force and a couple at its ends. The equilibrium equations are reduced to a single nonlinear second-order equation. The eigenvalues of t
Optimal shape of a heavy compressed column
β Scribed by T.M. Atanackovic; V.B. Glavardanov
- Publisher
- Springer-Verlag
- Year
- 2004
- Tongue
- English
- Weight
- 281 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1615-1488
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The optimal shape of a PflΓΌger column is determined by using Pontryagin's maximum principle. It is shown that the boundary value problem relevant for determining the optimal distribution of material (i.e. cross-sectional area function) along the column axis has simple eigenvalue. Necessary condition
method Finite element method Bubble function interpolation Infinite line shape a b s t r a c t The objective of this paper is to determine the optimal shape of a body -a two-dimensional elliptical cylinder in this study -located in a compressible inviscid flow governed by the Euler equations, such