Modeling of the Vibratory Tube Finisher Container

Abstract

Abstract The paper is dedicated to the problem of modeling the container of vibratory tube finisher additive manufacturing technology. The aim of the research is to develop an engineering approach of designing a rational model of deformative oscillations of a big size container. A thin-walled open cross section cylindrical beam is used as a model of bend and rotation of the vibratory tube finisher container. A method of division of all components of a strain and deformative state into the main and secondary is used to evaluate variants of a model of the vibratory tube finisher container. A ratio of the principle dimension of a cross section and changing of the stress-strain state is used as a weight parameter of components of potential and kinetic energy. A shear model of a thin-walled beam can be used to study the dynamic deformations not only in the elongated containers but in containers with commensurable quantities of its specific dimensions, too. Accuracy regarding the main natural frequency will be satisfied (with error about 1 %) when the length of the container is two times greater than a specific dimension of a cross section. Conditions of the rational models of deformation vibrations of containers are presented in a graph form that is comfortable in engineering practice.