Journal of Theoretical
and Applied Mechanics
7, 3, pp. 311-321, Warsaw 1969
and Applied Mechanics
7, 3, pp. 311-321, Warsaw 1969
Stateczność niepryzmatycznych prętów w strumieniu płynu
Rozwój współczesnych metod budowy maszyn, rozwój lotnictwa i techniki rakietowe istotnie rozszerzył klasę badanych dotychczas obciążeń elementów konstrukcji, głównie na tak zwane obciążenia niezachowawcze, a więc nie posiadające potencjału. Wśród nich wiele uwagi poświęcono obciążeniu elementów konstrukcji ciśnieniem wywieranym przez poruszający się z dużą prędkością strumień płynu. W niniejszej pracy zajmiemy się badaniem stateczności pręta (płytki) niepryzmatycznego, jednostronnie utwierdzonego, umieszczonego w strumieniu płynu.
STABILITY OF NONPRISMATIC BARS IN FLUID FLOW
Applying a simple law of flow about a bar (plate) i.e. “piston theory” (plane section law), some solutions of the stability problem of nonprismatical bars in parallel fluid flow were obtained in this paper. After formulation df the problem and discussion of simplifying assumptions, the critical velocity value was determined for a flat bar with exponentially varying width. By a further application of the inverse method, the shapes of flat bars were found under the assumed deflection lines. Finally, the problem of optimalization of a nonprismatic bar shape of constant width in fluid flow was formulated. Results of this work cannot be treated as exact ones inasmuch as the “piston theory” is an approximate.
STABILITY OF NONPRISMATIC BARS IN FLUID FLOW
Applying a simple law of flow about a bar (plate) i.e. “piston theory” (plane section law), some solutions of the stability problem of nonprismatical bars in parallel fluid flow were obtained in this paper. After formulation df the problem and discussion of simplifying assumptions, the critical velocity value was determined for a flat bar with exponentially varying width. By a further application of the inverse method, the shapes of flat bars were found under the assumed deflection lines. Finally, the problem of optimalization of a nonprismatic bar shape of constant width in fluid flow was formulated. Results of this work cannot be treated as exact ones inasmuch as the “piston theory” is an approximate.