TY - JOUR 
A1 - Martínez Frutos, Jesús
AU - Herrero Pérez, David
T1 - Evolutionary topology optimization of continuum structures under uncertainty using sensitivity analysis and smooth boundary representation
Y1 - 2018
SN - 0045-7949
UR - http://hdl.handle.net/10317/7210
AB - This paper presents an evolutionary approach for the Robust Topology Optimization (RTO) of continuum structures under loading and material uncertainties. The method is based on an optimality criterion obtained from the stochastic linear elasticity problem in its weak form. The smooth structural topology is determined implicitly by an iso-value of the optimality criterion field. This iso-value is updated using an iterative approach to reach the solution of the RTO problem. The proposal permits to model the uncertainty using random variables with different probability distributions as well as random fields. The computational burden, due to the high dimension of the random field approximation, is efficiently addressed using anisotropic sparse grid stochastic collocation methods. The numerical results show the ability of the proposal to provide smooth and clearly defined structural boundaries. Such results also show that the method provides structural designs satisfying a trade-off between conflicting objectives in the RTO problem.
KW - Mecánica de Medios Continuos y Teoría de Estructuras
KW - Evolutionary topology optimization
KW - Robust design
KW - Random fields
KW - Isolines
KW - Optimality criteria
KW - 1210 Topología
LA - eng
PB - Pergamon Press
ER -