6533b835fe1ef96bd129eaba
RESEARCH PRODUCT
Optimization of continuous elastic perfectly plastic beams
Luigi Palizzolosubject
Optimal designMathematical optimizationSafety factorMechanical EngineeringModeling and SimulationMathematical analysisGeneral Materials ScienceMultiplier (economics)LimitingComputer Science ApplicationsCivil and Structural EngineeringElastic plasticMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-02-01 | Computers & Structures |