Modeling of the Elastic Plates of Non-Base Configurations for the Cams of Automatic Half-Hose Machines
Leonid Berezin 1  
,   Kyrylo Savchenko 2  
,   Mykola Rubanka 1  
,   Oleh Polishchuk 3  
,   Olena Oliinyk 4  
,   Alla Rubanka 1  
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Kyiv National University of Technologies and Design, 2 Nemyrovycha-Danchenka Street, 01011 Kyiv, Ukraine
G.S. Pisarenko Institute for Problems of Strength of the National Academy of Sciences of Ukraine, 2 Timiryazevs’ka str., 01014 Kyiv, Ukraine
Khmelnytskyi National University, 11, Instytuts’ka str., Khmelnytskyi, 29016, Ukraine
National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, 37, Prosp. Peremohy, 03056 Kyiv, Ukraine
Leonid Berezin   

Kyiv National University of Technologies and Design, 2 Nemyrovycha-Danchenka Street, 01011 Kyiv, Ukraine
The purpose of the work is analytical research and computer modeling of the influence of shape and size of console beams of elastic plates of non-base configurations for the cam of the automatic half-hose machine under the conditions of flexibility, strength, and minimization of sizes. The scientific novelty of the work lies in the further development of the theory and methodology of designing the elements of knitting systems of the automatic half-hose machines based on regimes of loading, limitations in strength and dimensions, as well as requirements of the technological process. To increase the flexibility of the elastic plate, the symmetrical introduction of two console beams of trapezoidal shape is proposed. The influence of the coefficient of the shape of console beams and their lengths on the magnitudes of deflections and stresses is analyzed, which allows making grounded and flexible decisions regarding the dimensions of the root and the end sections of the beams at the preliminary stage of design. The mathematical support is presented mainly in an explicit form, which simplifies the analysis of the influence of controlled dimensions of the elastic plates on their flexibility and strength, as well as contributes to the comprehensive approach to the development of cams of different constructions with elastic plates and allows improving the quality and efficiency of design solutions of cams. The beam bending theory and the finite element method based on Code_Aster shared software are used. The model of the plate is represented by an ordered grid of finite nodal elements of the same size, without the use of elongated and flat elements. According to the results of simulation experiments, the distributions of deformations and stresses on the surface of the elastic plate of the cam are obtained, depending on its shape and size, which confirm the validity of calculated recommendations.