Boundary perturbation method applied to optimal plastic design of beams under bending with shear

The paper applies the boundary perturbation method (BPM) to optimal plastic design under bending with considerable shear effects. This method uses expansions of stress components and of the unknown boundary into power series of a small parameter. In the present paper the small parameter α represents...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2003-07, Vol.25 (2), p.117-127
Main Authors: EGNER, W, ZYCZKOWSKI, M
Format: Article
Language:English
Subjects:
Applied sciences
Bending
Boundary conditions
Buildings. Public works
Computation methods. Tables. Charts
Exact sciences and technology
Finite element method
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Parameters
Perturbation methods
Physics
Plastic design
Power series
Shear
Solid mechanics
Structural analysis. Stresses
Structural and continuum mechanics
Viscoelasticity, plasticity, viscoplasticity
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Summary:The paper applies the boundary perturbation method (BPM) to optimal plastic design under bending with considerable shear effects. This method uses expansions of stress components and of the unknown boundary into power series of a small parameter. In the present paper the small parameter α represents the effects of shear. General solutions of the hyperbolic equations derived are given and the shape is described by a power series resulting from boundary conditions. The convergence is improved by extrapolation and local corrections. Verification of the results by the ADINA program is provided. An optimal beam with a doubly-connected lateral profile is also determined. Its weight is considerably smaller than that of a solid beam.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-002-0278-z