Визначення деформації абсолютно пружної осі криволінійних стержнів при їх згинанні

The object of this study is the deformation of an elastic axis with a large deflection of a cantilever clamped absolutely elastic rod under the action of an applied concentrated force. The rod in the free state can have a rectilinear or curved elastic axis. This fact implies a difference in the analytical description of the bending process. However, there is a factor by which some similarity can be found between the bending of rectilinear and curved rods. This factor is the curvature of the elastic axis of the rod in a free state. According to this feature, they can be divided into rods of constant and variable curvature of the elastic axis. The former include rectilinear rods and those that in the free state have the shape of an arc of a circle, and the latter – rods with a variable curvature of the elastic axis. There is a difference between the bending of these groups of rods: in the first case, the deformation of the elastic axis of the rod during its bending will be the same regardless of which end will be cantilever pinched. A distinctive feature of the current research is that the bending of rods with variable curvature of the elastic axis was carried out by alternate pinching of their opposite ends. Moreover, the rods of constant and variable curvature were of the same length s=0.314 m, the same cross-section of 0.005×0.02 m. That has made it possible to visually show the difference between the shape of the elastic axis of the bent rod under the action of the same force when the pinch end is changed. When attached to the rods of the working bodies of agricultural machines, pulsating dynamic loads are smoothed out due to their elasticity. It is important for practice to be able to calculate the value of their deviation, which should be within the given limits. The results are explained by the fact that in the analytical description of the shape of the elastic axis of a curved rod, a technique was proposed in which the length of the axis can start counting both from one end and from the opposite end