APPLICATION OF PONTRYAGIN'S PRINCIPLE TO BIMODAL OPTIMIZATION OF NANO RODS
作者： TEODOR M. ATANACKOVIC , BRANISLAVA N. NOVAKOVIC , ZORA VRCELJ
DOI: 10.1142/S0219455412500125
关键词:
摘要: By using the Pontryagin's maximum principle, we determine optimal shape of a nonlocal elastic rod clamped at both ends. In optimization procedure, imposed restriction on minimal value cross-sectional area. We showed that may be unimodal and bimodal depending restrictions characteristic length. Several concrete examples are treated in detail increase buckling capacity is determined.
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