A computer model is a software implementation of a mathematical model, supplemented by various utility programs. A computer model exhibits the properties of a physical model when its abstracts components — the programs — are interpreted by a computer. In addition, a computer model, as a physical device, can be the part of test benches, virtual laboratories. Computer simulation allows without significant difficulties to modify mathematical models, which are the basis for obtaining results with a high degree of accuracy. In the article was considered the application of the developed methods for predicting nonlinear viscoelasticity of flexible rods under various loading conditions based on creep curves is possible only in the case of finite strains Rod oscillations with viscoelastic and nonlinear characteristics are considered in this paper. From the point of view of practice, it is interesting to study the oscillations of flexible rods (yarn) when the rod receives excitation depending on the acting dynamic loads in the form of a real oscillogram.
On the basis of the principle of modularity, an algorithm and software package for dynamic calculation of structurally-inhomogeneous multiply connected shell units that are the elements of hydro-technical structures are developed in the paper. The purpose of the module is to carry out certain transformations of the initial (source) information into a unique result. The development prospects of construction of various hydro-technical structures, aircraft, rocket and space machinery, shipbuilding, chemical engineering and many other branches of modern technology are characterized by a complication of design decisions in projecting and calculation of objects that present multiply connected spatial shell structures subjected to static and dynamic effects. Multiply connected structures, (such as hydro-technical structures), usually include a wide range of elastic and visco-elastic deformable elements with significantly different rheological properties in the form of blocks of plate stacks, tubular, cylindrical and prismatic shell structures of complex geometry, with attached masses, various types of reinforcement, supports, containing a large number of elastic and visco-elastic couplings with significantly different functions of heredity. Obviously, the search for exact analytical solutions to dynamic problems for structurally inhomogeneous visco-elastic shell structures is doomed to failure, the only possibility of engineering implementation is to build numerical and numerical-analytical algorithms with the subsequent use of modern computers. The solution to dynamic problems involves a numerical simulation of the stress-strain state (SSS) of the structures under consideration.
The paper presents the statement and methods for solving dynamic problems of multiply connected structurally inhomogeneous shell structures, which make it possible to reduce the problem of calculating a wide class of engineering structures to computer-aided design tasks. On the basis of numerical experiments and multi-parameter analysis of the system as a whole, a number of fundamentally important applied problems have been solved for calculating the dynamic characteristics of oscillations (frequencies, modes, determinant resonant amplitudes and damping coefficients) of special structures depending on the parameters of structural inhomogeneity.
The results obtained made it possible to identify some mechanical effects of theoretical and practical importance. The developed methods and algorithms allow, at the stage of inhomogeneous systems design, combining inhomogeneous materials and connections with various rheological properties, to establish the ranges of parameter values for numerical-experimental search of the most rational (in terms of efficiency) dissipative properties and material consumption of engineering structures. It was established that an account for nonlinear strain in the material does not strongly distort the picture of linearly viscoelastic calculation.
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