Purpose. Using the study of stress-stain state of the CNs (connection nodes) used in multi-axis translational shakers formed as a package of TEEs (tape elastic elements), to formalize dependencies of their mechanical and structural parameters on the range of operating frequencies and the level of transmitted mechanical loads in the shaker node. Additionally, to take into account the impact of the force reproduced by the node on the elastic deformations of the unit considering that a particular tape unit undergoes bending in two planes, as well as displacement and stretching simultaneously. To develop a method for calculating the structural and mechanical parameters of the considered CNs regarding the known values of amplitude and frequency parameters yielded by the stand of dynamic loads. methodology. The study is based on the fundamental approaches of applied mechanics, modeling theory, machine dynamics and vibration reliability. findings. Dependences of thickness, length and width of the tape elastic elements, as well as their number in the package and the number of packages in the connection node in the direction of the transmitted vibration on the given stiffness and strength characteristics are obtained. A method is developed for calculating structural and mechanical parameters of the elastic elements, taking into account the specified parameters of the amplitude and frequency characteristics of strains reproduced by the stand. Originality. For the first time, a technique is proposed for calculating structural parameters (thickness, length, width of the tape, the number of elastic elements in the package, the number of packages in the CN) and the mechanical characteristics (compliance of the package, the endurance limit of the elastic element material) of the CN, taking into account the frequency range specified by the regulatory document and the levels of vibrational loads reproduced on the platform of the stand. In this case, the stress-strain state of each elastic element of the package includes its work on bending in two planes, displacement and stretching and satisfies the strength and rigidity conditions of the CN altogether. Taking into account the requirements for the preset rigidity of the package in the non-operational direction, and small value of tape thickness, the conditions of durability and rigidity are eventually satisfied due to the possibility to alter a number of tapes in the package. The stiffness of the package of elastic elements as well as the number of packets in the connection node are determined according to the conditions for carrying out vibration tests in the operating frequency ranges and the levels reproduced on the shaker table of mechanical loads. Practical value. The use of the considered CNs in the form of TEE packages for jointing the tables of vibration exciters with many degrees of freedom with a platform and a platform with a fixed base provides the following advantages: simplicity of manufacture; no additional energy costs for their maintenance; light weight that unlo...

*Кафедра теоретичної та будівельної механіки Харківський національний університет міського господарства ім. О.М.Бекетова вул. Революції,12, м. Харків, Украина, 61002 Наведено результати дослідження залежності інтегральних квадратичних величин абсолютного прискорення й відносного зміщення силосу від конструктивних характеристик корпусу, колон та параметрів сейсмічного впливу. Розв'язана задача мінімізації інтегрального квадратичного відносного зміщення силосу вибором коефіцієнта демпфірування. Отримано вирази для оптимального значення коефіцієнта демпфірування і інтегрального квадратичного критерію як функції граничного значення абсолютного прискорення Ключові слова: коливання, корпус силосу, сейсмічні впливи, зсув, прискорення, демпфірування Приведены результаты исследования зависимости интегральных квадратических величин абсолютного ускорения и относительного смещения корпуса от конструктивных характеристик корпуса, колонн и параметров сейсмического воздействия. Решена задача минимизации интегрального квадратического относительного смещения силоса выбором коэффициента демпфирования. Получены выражения для оптимального значения коэффициента демпфирования и интегрального квадратического критерия как функции предельного значения абсолютного ускорения Ключевые слова: колебания, корпус силоса, сейсмические воздействия, смещение, ускорение, демпфирование

Purpose. To formalize the dependence of the eigenfrequencies of translational and torsional vibrations of the structural elements of the vibrating machine articulated by the connection node on their design parameters and mechanical characteristics, as well as regulatory requirements for vibration activity, strength and accuracy. To develop a method for selecting the design parameters of the elastic band element of the package, taking into account the specified values of the amplitude and frequency characteristics of the dynamic loads reproduced by the supporting structure and the coefficient of variation of the natural frequencies of translational and torsional vibrations. Methodology. The research is based on fundamental approaches of applied mechanics, machine dynamics and vibration reliability. Findings. The dependences of the eigenfrequencies of torsional vibrations of the body parts of the vibrating machine connected by the connection node on their design parameters and mechanical characteristics are obtained and analyzed. Vibrations around an axis orthogonal to the working direction of the node are considered. A comparative analysis of the natural frequencies of the node in the direction of the transmitted vibration and its circular vibrations from the design parameters and mechanical characteristics of the elastic band elements, their number in the package and the number of packages in the connection node is performed. Originality. It is in the fact that for the first time the dependences describing the natural frequencies of translational and torsional vibrations of the body parts of a vibrating machine, articulated by a package of elastic band elements, are obtained. Also the paradigm for the choice of design parameters and mechanical characteristics of the elastic band element of the package, which is based on the results of a comparative analysis of the eigenfrequencies of vibrations in the working and connected directions through their coefficient of variation is innovative. This made it possible to include the criterion of vibration reproduction accuracy, which is formalized through the coefficient of frequency variation, together with the criteria of strength and rigidity, in the methodology of synthesis of the structural scheme of the vibrating machine. Practical value. The proposed methodological solutions for the calculation and selection of design parameters and mechanical characteristics of tape elastic elements ensure the achievement of vibration activity indicators of articulated parts, as well as the ratio of natural vibration frequencies in the working and related directions at the level of the requirements of normative documents when upgrading existing machines and creating new modern equipment. As a result, the reliability, durability, safety, productivity and load-bearing capacity of machines, equipment and mechanisms of mining engineering, aviation, transport and space technology are increased.