Abstract
The article deals with a super long elastic tubular vertical rod with centralizers embeded 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 singularity perturbed multy-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. KEY WORDS: SUPER LONG ROD, ROTATIONAL MOTION, INTERNAL FLUID FLOW, CENTRALIZERS, LONGITUDINAL FORCE, TORQUE, MULTI-POINT BOUNDARY PROBLEM, BIFURCATION STATES, METHOD OF DECOMPOSITION.
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