o:32306 A note on the heavy longest reach cantilever: An unconventional optimization problem en Abstract: We analyze the problem of finding the shape of a heavy cantilever that minimizes volume and satisfies certain condition at the free end that corresponds to the so-called longest reach problem. The Pontryagin’s maximum principle with cross-sectional area as “control” is used in the optimization procedure. We point out some specific properties of the problem. Namely, in one formulation we are faced with standard optimization problem and in another case with unconventional optimization problem. Keywords: Longest Reach Problem, Pontryagin’s Principle, Optimal Shape, Unconventional Extremal 1552099 10.30546/1683-6154.22.4.2023.466 1552101 1683-3511 2024-01-12T10:37:51.803Z 44 no 46 Ćemal Dolićanin Državni univerzitet u Novom Pazaru 2238055 0000-0003-4830-1454 Enes Kačapor Državni univerzitet u Novom Pazaru person 53071113 0000-0001-6658-051X Teodor Atanacković person 12980071 0000-0002-8714-1388 application/pdf 1508901 https://phaidrabg.bg.ac.rs/o:32306 no yes 1 70 92000001 20A01 Applied and Computational Mathematics an International Journal 22 4 466 479 2023