The optimal design of elastic plastic beams subjected to loads quasi-statically variable within a given domain is studied. A minimum volume formulation and a maximum load multiplier formulation are developed, both expressed on the grounds of a statical as well as of a kinematical approach. The search problems are formulated according to three different limiting criteria acting simultaneously. For each criterion a corresponding selected safety factor is imposed. The Euler–Lagrange equations related to the above described problems are deduced. A special iterative technique devoted to the solution of the above referenced problems is proposed. Some numerical examples conclude the paper.

PALIZZOLO, L. (2004). Optimization of continuous elastic perfectly plastic beams. COMPUTERS & STRUCTURES, 2004, 397-411 [10.1016/j.compstruc.2003.10.015].

Optimization of continuous elastic perfectly plastic beams

PALIZZOLO, Luigi
2004-01-01

Abstract

The optimal design of elastic plastic beams subjected to loads quasi-statically variable within a given domain is studied. A minimum volume formulation and a maximum load multiplier formulation are developed, both expressed on the grounds of a statical as well as of a kinematical approach. The search problems are formulated according to three different limiting criteria acting simultaneously. For each criterion a corresponding selected safety factor is imposed. The Euler–Lagrange equations related to the above described problems are deduced. A special iterative technique devoted to the solution of the above referenced problems is proposed. Some numerical examples conclude the paper.
2004
PALIZZOLO, L. (2004). Optimization of continuous elastic perfectly plastic beams. COMPUTERS & STRUCTURES, 2004, 397-411 [10.1016/j.compstruc.2003.10.015].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/20911
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