6533b856fe1ef96bd12b2edb

RESEARCH PRODUCT

Limit analysis of arch-beam structures by dynamic programming

Castrenze Polizzotto

subject

Mathematical optimizationFinite element limit analysisMechanical EngineeringMathematical analysisCondensed Matter PhysicsLimit analysisMechanics of MaterialsBending momentLimit loadLimit state designArchBeam (structure)Upper bound theoremMathematics

description

We study one-dimensional structures like arch-beams in the limit state of plastic collapse, on the ground of a two-dimensional yielding surface (bending moment and normal generalized stress). The proposed method, which is able to give a numerical solution of the problem of finding the limit load, rests on the upper bound theorem of limit analysis and uses dynamic programming. We examine also some questions linked with numerical procedures. A future work devoted to applications will complete the treatment.

https://doi.org/10.1007/bf02154421