Abstract
The article provides a brief overview of the works devoted to the stability and bending-torsional vibrations of thin-walled rods. The problem is formulated and an analytical solution to the problem of bending-torsional vibrations of a thin-walled rod is given. The analysis of the obtained solutions is given.
Highlights
Common mathematical interpretation makes related problems of free oscillations and elastic stability of rod systems
The loss of stability or free oscillations occur in a bending form, since the rod is described by the Bernoulli-Euler equation
In the early 80s of the XX century, a number of works [16,17,18] related to Flexural-torsional forms of loss of stability of centrally compressed rods were published, in which the method of displacement was applied
Summary
Common mathematical interpretation makes related problems of free oscillations and elastic stability of rod systems. The loss of stability or free oscillations occur in a bending form, since the rod is described by the Bernoulli-Euler equation.
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