Finite element iterative method for optimal elastic design of circular plates

Lamblin, D.; Guerlement, G.; Cinquini, Carlo

doi:10.1016/0045-7949(80)90096-6

Cited by 15 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The optimum dimensionless profiles with and without the plate's weight show very little difference. Similar problems for circular and annular plates with various support conditions and upper bounds on deflections or rotations have been treated by Lamblin et al (1980), where the function t(r) is assumed to be piecewise constant. Since the division radii are regarded as given, each annular region of constant thickness is used as a "natural" finite element.…”

Section: Other Problems For Circular Elastic Platesmentioning

confidence: 99%

Structural Optimization

1985

View full text Add to dashboard Cite

Section: Other Problems For Circular Elastic Platesmentioning

confidence: 99%

Structural Optimization

1985

View full text Add to dashboard Cite

Computational procedures for plastic shakedown design of structures

Giambanco

Palizzolo

Caffarelli

2004

Struct Multidisc Optim

View full text Add to dashboard Cite

The minimum volume design problem of elastic perfectly plastic finite element structures subjected to a combination of fixed and perfect cyclic loads is studied. The design problem is formulated in such a way that incremental collapse is certainly prevented. The search for the structural design with the required limit behaviour is effected following two different formulations, both developed on the grounds of a statical approach: the first one operates below the elastic shakedown limit and is able to provide a suboptimal design; the second one operates above the elastic shakedown limit and is able to provide the/an optimal design. The Kuhn–Tucker conditions of the two problems provide useful information about the different behaviour of the obtained structures. An application concludes the paper; the comparison among the designs is effected, pointing out the different behaviour of the obtained structures as well as the required computational effort related to the numerical solutions

show abstract

Optimal design of elastic plastic frames accounting for seismic protection devices

Benfratello

Palizzolo

Tabbuso

2013

Struct Multidisc Optim

View full text Add to dashboard Cite

The optimal design of elastic perfectly plastic steel frames with or without suitable protection devices and subjected to static as well as seismic loadings is studied.\ud Two minimum volume problem formulations are proposed, on the grounds of the so-called statical approach, accounting\ud for three different resistance limits: the purely elastic limit, the (elastic) shakedown limit and the instantaneous\ud collapse limit. The adopted load combinations are characterized\ud by the presence of fixed loads, of quasi-static perfect cyclic loads and dynamic (seismic) loads. The linear elastic effects of the dynamic actions are studied by utilizing a modal technique. The proposed treatment is referred to the most recent Italian code related to the structural analysis and\ud design. The solution of the optimization problem is reached by using an appropriate linearization iterative technique specialized to the proposed formulations. Flexural frames and\ud cross-braced frames are studied, and the related minimum volume structures are reached for assigned features of the\ud base isolation device. The Bree diagrams of the obtained optimal designs are also determined in order to characterize\ud their structural behaviour

show abstract

Finite element iterative method for optimal elastic design of circular plates

Cited by 15 publications

References 6 publications

Structural Optimization

Structural Optimization

Computational procedures for plastic shakedown design of structures

Optimal design of elastic plastic frames accounting for seismic protection devices

Contact Info

Product

Resources

About