The problem of dynamic vibration dampers of inherited-deformable systems with finite number of degrees of freedom is considered. Rheological properties of spring (suspension) are taken into account using integral model with Koltunov-Rzhanitsin relaxation core. The behavior of the system with a damper is considered at free attenuation oscillations caused by the specified initial conditions, as well as at constant, pulse and periodic external impacts. The obtained results make it possible to conclude on the expediency of using dynamic dampers to reduce amplitude of oscillations, both in perfectly elastic and in inherited-deformable systems during transient processes. A computational algorithm based on quadrature formulas is used to solve the problem.
The article proposes an economic mechanism for regulating the route network, the calculation of which allows you to choose a transport route, as well as calculate the number of flights based on the condition of achieving a break-even transport process for carriers of various forms of ownership. The Work deals with the solution of problems related to the choice of a route, which belong to the class of complex combinatorial optimization problems. They don't have simple analytical solutions. As the number of nodes increases, the computational complexity increases exponentially. The Work proposes an alternative method for solving routing problems based on the use of neural network models, which allow obtaining good suboptimal solutions with a significant reduction in time costs. As in the Hopfield network, a matrix of neurons is used here, but neurons interact not on the "each with each" principle, but in rows and columns.
The problem of spreading of harmful emissions from the dried part of the Aral Sea is extremely relevant for the Central Asian region, but it is also important for other countries of the near and far abroad in view of the transboundary transport of pollutants in the atmosphere. In order to solve the problem of predicting the distribution of the concentration of air pollutants, researchers are usually use mathematical tools. Modelling the processes of transport and diffusion of pollutants in the atmosphere claims to address various factors, such as weather and climate conditions, soil erosion, physic and mechanical properties of aerosol particles, etc. Thus, this study was aimed to develop a model and computational algorithm for solving the problem. The particular attention was paid to the description of wind erosion since most emissions in the Aral Sea region occur by the removal of salt-dust particles from the soil surface. There were conducted a series of computational experiments using the developed mathematical apparatus. The obtained results presented in the paper are illustrating the influence of various factors on the process of atmospheric dispersion. Comparison of the results of computational experiments with experimental data showed sufficient agreement, which confirms the adequacy of the developed mathematical model of the process of spreading of fine aerosol particles in the atmosphere.
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