×

Evolutionary structural optimisation (ESO) using a bidirectional algorithm. (English) Zbl 0938.74056

From the summary: We combine the basic ESO with the additive evolutionary structural optimisation (AESO) to produce bidirectional ESO, whereby material can be added and can be removed. It is shown that this provides the same results as the traditional ESO. This has two benefits, it validates the whole ESO concept, and there is a significant time saving, since the structure grows from a small initial one rather than contracting from a sometimes huge initial one where 90 per cent of the material gets removed over many hundreds of finite element analysis evolutionary cycles.

MSC:

74P15 Topological methods for optimization problems in solid mechanics
65K10 Numerical optimization and variational techniques

Software:

ESOFRAME
Full Text: DOI

References:

[1] DOI: 10.1016/0045-7825(88)90086-2 · Zbl 0671.73065 · doi:10.1016/0045-7825(88)90086-2
[2] DOI: 10.1007/BF01279653 · doi:10.1007/BF01279653
[3] Garcia, M. and Steven, G.P. (1997a), ”Fixed grid finite elements in elasticity problems”, submitted toEngineering Computations.
[4] Garcia, M. and Steven, G.P. (1997b), ”Displacement error for fixed FEA in elasticity problems”, submitted toFinite Elements in Analysis and Design..
[5] DOI: 10.1108/02644409510799578 · Zbl 0825.73468 · doi:10.1108/02644409510799578
[6] Jettour, P. and Frey, F. (1986), ”A four node Marguerre element for non-linear shell analysis”,Engineering Computations, Vol. 3 No. 4. · doi:10.1108/eb023667
[7] Li, Q., Steven, G.P. and Xie, Y.M. (1997), ”Topology design of structures subjected to thermal loading by evolutionary optmization procedure”,Proc. of DETC ’97, 1997 ASME Design Engineering Technical Conf. Paper DETC97DAC3974, Sacramento.
[8] DOI: 10.1016/0142-1123(90)90094-U · doi:10.1016/0142-1123(90)90094-U
[9] DOI: 10.1080/14786440409463229 · doi:10.1080/14786440409463229
[10] DOI: 10.1108/02644409610120696 · Zbl 0983.74527 · doi:10.1108/02644409610120696
[11] Querin, O., Steven, G.P. and Xie, Y.M. (1997b), ”Evolutionary structural optimisation by an additive algorithm”, submitted toFinite Elements in Analysis and Design. · Zbl 0980.74051
[12] Querin, O., Steven, G.P. and Xie, Y.M. (1997c), ”Development of a performance indicator for structural topology optimization”, forthcoming inStructural Optimization.
[13] Steven, G.P., Querin, O. and Xie, Y.M. (1997), ”Structural perfection: real or imaginary (or just the place to FEA)”,Proc. NAFEMS World Congress ’97, Stuttgart, pp. 37-48.
[14] DOI: 10.1016/0045-7949(93)90035-C · doi:10.1016/0045-7949(93)90035-C
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.