Retrieved from Vol. 26, No. 1, 2022
Pages 121 -126
Received 05.09.2021
Revised 16.01.2022
Accepted 15.02.2022
Retrieved from Vol. 26, No. 1, 2022
Pages 121 -126
Abstract
The article deals with a super long elastic tubular vertical rod with centralizers embedded in its lower part and an internal fluid flow. The reasons of appearance of bifurcation protrusion of the rod are stated. Among these reasons, an internal longitudinal force, torque, inertia forces rotating rods, inertia forces of internal fluid flow are identified and described as main ones. The purpose of the study is to detect the beginning of bifurcation states of rods with centralizers. Research methods are based on the construction of singularly perturbed multi-point boundary-value problems determining the stress-strain state and stability of the rod. Applying decomposing approach, the beginning of bifurcation states of rods with centralizers are detected.
Keywords:
super long rod; rotational motion; internal fluid flow; centralizers; longitudinal force; torque; multi-point boundary problem; bifurcation states; method of decomposition