The Form of a Spiral Spring in a Free State

Pylypaka, Serhii; Hropost, Vyacheslav; Kresan, Tetiana; Volina, Tatiana; Vasyliuk, Volodymyr

doi:10.1007/978-3-031-42778-7_47

Cited by 2 publications

(1 citation statement)

References 22 publications

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“…Additional force is required to overcome the elasticity of the strip, unlike a completely flexible strip. The elastic bending of the riser of the cultivator tine is discussed by S. Pylypaka et al (2023). The study considers the elastic axis of the tine when it is bent during operation.…”

Section: Introductionmentioning

confidence: 99%

Investigation of deformation of the spring tooth of agricultural implements from the action of the force applied to it

Pylypaka,

Volina,

Hropost

et al. 2024

Tehnìka ta energetika

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The relevance of the study lies in the need to investigate the dependence of the force applied to the spring tooth on its parameters, which is an important task due to the widespread use of spring teeth in agricultural implements, such as balers, reapers, rakes, etc. The purpose of the study is to establish an analytical description of the spring tooth deformation depending on the amount of applied force. For this purpose, the theory of bending rods from the resistance of materials was applied, without simplifying it, as is common in construction, where the deflection of a beam is small compared to its length. The calculation is based on the well-known dependence of the curvature of the elastic axis of the beam (tooth) on the applied moment and the stiffness of its cross-section. The study considers a cantilevered tooth, which at the point of pinching is a spring with several turns, followed by a smooth transition to a rectilinear shape. The tooth is divided into two parts along its length: curvilinear and rectilinear. Calculation of the deformation, i.e., finding the shape of the elastic axis after the action of the applied force, is carried out for both parts separately. The need for this approach is dictated by the fact that the curvature of the elastic axis of the tooth in the free state changes abruptly from the stable value of the curvilinear part to a zero value of the straight part. The main result of the study is to find the shape of the elastic axis of individual parts of the tooth under the action of the applied force and combine them into one whole. This helps to determine the amount of movement of the free end of the tooth depending on the amount of force applied to it. The application of the obtained data can help in the development of more efficient and productive agricultural tools, and increase their durability and efficiency when interacting with the soil

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Section: Introductionmentioning

confidence: 99%

Investigation of deformation of the spring tooth of agricultural implements from the action of the force applied to it

Pylypaka,

Volina,

Hropost

et al. 2024

Tehnìka ta energetika

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Features of Bending of Curvilinear Absolutely Elastic Bars

Pylypaka,

Khropost,

Volina

et al. 2024

Naukovì dopovìdì Nacìonalʹnogo unìversitetu bìoresursìv ì priro

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In construction mechanics, the linear theory of bending is used to calculate deflections of beams. It gives an approximate result, but it is quite acceptable for practice, since the deflections of the beams are small compared to their length. In the case of significant deflections of the rods, when the curvature of the elastic axis is significant, a nonlinear theory is used. It is based on the position of resistance of materials, according to which the curvature of the elastic axis is directly proportional to the applied moment and inversely proportional to the stiffness of the rod. Such types of elastic bending are present in agricultural tillage equipment. Thanks to the elasticity of the rods, which can be working bodies or connect the working bodies to the frame of the machine, pulsating loads are extinguished. Bars in the free state can have an initial curvature of the elastic axis, which can be constant or variable. One end of the rod is rigidly attached to the machine frame, and the other is under the influence of the applied force. If the curvature is constant, that is, the elastic axis of the rod is an arc of a circle, then the deformation will be the same regardless of which end of the rod is attached to the frame. For rods with a variable curvature of the elastic axis, this is important. The following cases are considered in the article, corresponding calculations were made on the basis of which the shape of the elastic axis of the rod after its bending was found. Curvilinear rods of variable curvature have a different value at the ends. In this regard, the shape of the elastic axis under the action of the tracking force of the pinched rod will depend on which end it is pinched. The moment under which the elastic axis of the rod is deformed depends on the shoulder, that is, on the length of the arc of the elastic axis.The length of the arc of the curve can increase only in one direction from the reference point. If the rod is clamped at the opposite end, then the direction in which the shoulder grows, i.e. the length of the arc, must be changed. For this purpose, a method of solving this problem is proposed, which allows you to take any section of a curved rod and examine it for bending by the following force when one or the opposite end is pinched.

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The Form of a Spiral Spring in a Free State

Cited by 2 publications

References 22 publications

Investigation of deformation of the spring tooth of agricultural implements from the action of the force applied to it

Investigation of deformation of the spring tooth of agricultural implements from the action of the force applied to it

Features of Bending of Curvilinear Absolutely Elastic Bars

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