Simulation of oscillations in elements of adaptive impact device

The aim of the research presented in the article was creation of an algorithm for study of wave propagation in a shock device with variable cross-section tool. The main components of the model of the shock device were the core of variable cross-section and the reduced discrete mass joined by elastic and dissipative elements. The recoil reaction from the working array that acts at the end of the rod was set by the pulse value (100-1000 kg·m/c). In this formulation the problem of wave process was described with a system of two partial and ordinary differential equations. Physical conditions were modeled by initial and boundary conditions for the desired functions. The shock was simulated by the amount of movement of the small rod member in the initial time. The search of approximate solution for the formulated initial boundary value problem was solved by difference methods. Test problems were used for ensure the necessary stability and economy of the difference methods. The solution of the test problems by Fourier method was close to the limit solving of the basic problem. The best results were obtained for the difference scheme with weights. The impact of the variable cross-sectional area on the stability of the difference scheme was checked using specially selected wave-like profile of the rod. The possibility of variation of the cross sectional area of the rod was shown in a wide range. The selection of the "coarse" and "fine" grid time allowed to record low-frequency (5-10 Hz) and high-frequency (100-2000 Hz) oscillations of the sections of the rod. For example, we considered a tool in the form of a truncated cone. For high-frequency oscillations the waves of displacements of the rod were determined and their connection with geometric section parameters was set.