Optymalizacja położenia podpór belki sztywno-plastycznej obciążonej impulsem prędkości

An impulsively loaded rigid-plastic beam resting on n+2 supports is considered. Two supports fix the ends of the beam. Three optimization criteria are formulated. Optimal location of the additional supports is found under condition that permanent deflection of the beam attains the minimal value. The minimum volume problem is studied in the case of constrained deflections. It is found that the additional supports have the same optimal locations in the all considered cases.