Abstract

The article describes the numerical and analytical research methods of an impact device model. The hammer with the tool is considered as rods of uniform cross section, connected by elastic and dissipative elements. The model also takes into account the elastic and viscous resistance of the working medium. The process of interaction in the system of hammer – tool – working medium is described by wave equations connected to initial and boundary conditions. A finite-difference method is used to solve initial-boundary value problems. A mixed difference scheme with weight coefficient is applied. The choice of the optimal parameters of the difference scheme is carried out using model problems whose solutions are found by the Fourier method. The difference problem is solved by the succession-sweep method, which is adapted to two connected equation systems. There are oscillations of low and high frequencies in the solutions of initial-boundary value problems. Coarse and fine grids are used to register these oscillations. The algorithm of numerical and analytical methods is realized in the Mathcad system.

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