A worst-case approach to topology optimization for maximum stiffness under uncertain boundary displacement

نویسندگان

چکیده

• New formulation of topology optimization with uncertain boundary displacement. Existence solutions to continuum formulation. Numerical comparison standard NLP-solver, SDP-solver and non-smooth solver. We present a worst-case approach (TO) for maximum stiffness under displacement parametrized by matrix-valued scaling function times an vector giving its direction. The objective in the TO problem is minimum potential energy maximized over set displacements, which absence prescribed loads means maximizing reaction arising from enforcing It shown that can be cast as minimization eigenvalue matrix depending on small number (linear elastic) state problems. solution this potentially using algorithms smooth optimization, non-linear semi-definite programming reformulation, bundle method discussed tested.

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ژورنال

عنوان ژورنال: Computers & Structures

سال: 2022

ISSN: ['1879-2243', '0045-7949']

DOI: https://doi.org/10.1016/j.compstruc.2021.106696