Анализ качества защемления консольной балки в зависимости от физических и геометрических параметров

Abstract

В данной работе предполагалось выяснить выполнение условий защемления консольной балки, а именно равенство нулю величины прогиба и угла поворота в поперечном граничном сечении стержня. В работе представлена зависимость величин угла поворота и прогиба консольной балки от таких параметров, как: геометрия сечения, прикладываемая сила и материал заделки. Практическое отклонение от данных граничных условий может являться опасным для надежности соединения. Целью работы является выявление податливости материала защемления и анализ степени погрешности при расчете идеально упругих тел на изгиб. На основе полученных данных были составлены таблицы зависимостей для определения поведения заделки при различных физических и геометрических параметрах конструкции. Используя полученные данные расчетов стало возможно определить характер зависимостей величины прогиба от включенных в расчет величин. Результаты приведены в виде графиков, рисунков и таблиц.

In this work, it was supposed to find out the fulfillment of the pinching conditions of a cantilever beam, namely, the equality to zero of the magnitude of the deflection and the angle of rotation in the transverse boundary section of the rod. The paper presents the dependence of the values of the angle of rotation and deflection of the cantilever beam on such parameters as: section geometry, applied force, and embedment material. Practical deviation from these boundary conditions can be dangerous for the reliability of the connection. The aim of the work is to identify the compliance of the pinching material and the analysis of the degree of error in the calculation of perfectly elastic bodies for bending. The structure was calculated in ANSYS WORKBENCH, using the static structure module. To find the angular displacements, the commands of the APDL scripting language were used. Based on the data obtained, dependency tables were compiled to determine the behavior of the embedment for various physical and geometric parameters of the structure. Using the obtained data of calculations it became possible to determine the nature of the dependencies of the magnitude of the deflection on the values included in the calculation. The results are presented in the form of graphs, figures and tables. Based on the data on linear and angular displacements, conclusions were made about the nature of the influence of these quantities on the characteristics of the stress-strain state of the whole structure. Analyzing the obtained graphs, it became possible to determine the linear relationship between the load and deflection in the boundary section of the beam. The influence of the embedding material on displacements cannot be described by a similar law, which indicates possible errors in the calculation of the stress-strain state of the structure. It is also worth noting that an increase in the yield strength of a material when considering embedding from elastic materials is characterized by an increase in angular displacements and a simultaneous decrease in linear displacements. For concrete, these figures differ significantly.