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Michell structures within L-shaped domains

Bołbotowski Karol, Lewiński Tomasz, Sokół Tomasz

Computer Assisted Methods in Engineering and Science

2020

Vol. 27, no. 2-3

185--204

By recalling the main mathematical results concerning the theory of Michell structures,the present paper puts forward an interpretation of the selected numerical methods forconstructing their approximants, that is, trusses with a large number of nodes. The ef-ficiency of one of these methods: the ground structure method in its adaptive version isshown in the context of the L-shaped design domain problem. A large family of highlyaccurate truss approximants corresponding to the point loads acting at selected verticesis constructed and discussed.