Research of the stressed and deformed state of a damping element

Purpose. The aim is to develop an effective numerical analysis apparatus based on the semi-analytical finite element method (SAFEM) for studying the stressed and deformed state of prism-shaped bodies of complex configuration with arbitrarily applied material properties and solving a new practically significant problem on this basis. The methods.I t is based on numerical experiments, the conduct of which allows investigating the issues of adequacy of theory and solution methods to the real properties of structures and the processes occurring in them. The implementation of the work tasks is based on the use of the finite element method (FEM) and the developed numerical apparatus of SAFEM. Findings. Based on the developed numerical apparatus of SAFEM, an example of solving a specific problem is shown. In the elastic and elastoplastic formulations, the calculation of the damping element, which is a box-like structure reinforced with two longitudinal ribs, is performed. The dependence of the level of plastic deformations in the area of fillet transitions on the rounding radius is obtained. The originality. It lies in the development, based on the moment scheme of finite elements and the semi-analytical version of FEM, of an effective numerical approach to the study of arbitrarily loaded prism-shaped bodies of complex shape, the deformation of which may exceed the elasticity limit of the material. Due to the representation of displacements by polynomials and the use of iterative methods for solving systems of calculation equations, this approach has been developed with respect to the calculation of objects with arbitrary boundary conditions on the ends, which has allowed expanding the scope of effective SAFEM application to a new class of problems. Practical implementation. It lies in the fact that the developed effective methodology for solving new complex problems of elastic and elastoplastic equilibrium of prism-shaped bodies is implemented in the form of comprehensive programs and can be used in design and construction practice in construction, mechanical engineering, and other technical fields.