Studied in the paper are the dynamic characteristic of a vibrating machine with two vibrating elements. The vibrating machine is simulated as a discrete-continuous system. Set up are the motion equations, and determined are the basic parameters of the vibration machine. Defined are the criteria for the first and the second stability ranges of the vibration machine as a resonance system. Determined are the optimal numerical values of the basic parameters of the vibration machine which are required for ensuring energy-efficient operation of the machine. Proposed is a new energy-efficient vibration machine designed for forming concrete foundation blocks
Słowa kluczowe: actuator, mathematical model, energy efficiency, resonance vibrations.
W artykule opisano dynamiczną charakterystykę wibrującej maszyny z dwoma elementami wibrującymi. Maszyna wibracyjna jest symulowana jako dyskretny system ciągły. Ustawione są równania ruchu i określone są podstawowe parametry maszyny wibracyjnej. Zdefiniowane są kryteria pierwszego i drugiego zakresu stabilności urządzenia wibracyjnego jako systemu rezonansowego. Określone są optymalne wartości liczbowe podstawowych parametrów maszyny wibracyjnej, które są wymagane do zapewnienia energooszczędnej pracy maszyny. Proponowana jest nowa energooszczędna maszyna wibracyjna przeznaczona do formowania betonowych bloków fundamentowych.
Keywords: siłownik, model matematyczny, efektywność energetyczna, drgania rezonansowe.
Energy saving is very important in developing new technologies and industrial equipment. The existing technologies and industrial equipment do not comply sufficiently with modern requirements concerning energy saving. One of the methods for solving the problems associated with energy saving is the development of vibration machines rated for operation in resonant vibration modes. Resonance vibration machines are widely used in the mining industry, the building-and-construction industry, and other industries. It is reasonably to use resonance vibration machines in processes where the vibration machine actuator acts directly on the material being processed. Such processes include processes for transporting, sorting, mixing, and compacting materials. Effective operation of resonance vibration machines is possible if the elasticity and dissipation properties of the vibration machine-medium system are accounted for, because such properties have a direct effect on the operational mode of the vibration machine. The further development of resonance vibration machines will be based on the combination of elastic and dissipative forces acting in the vibration machine-medium system. For this reason, it is necessary to use new methods for simulating, studying, and designing such systems. Analysis of study results and publications One of the basic problems concerning vibration machines consists in developing and validating their mathematical models. Paper  contains information on simulating vibrations in complex systems with indefinite nonlinearities, which are often spatially localized. Studied in this paper is the method, based on inverse optimization, for simulating dynamic nonlinearities in locally nonlinear systems. Studied in the paper  are the factors that cause changes in the dynamic response of a system consisting of two plates connected by a single fastening element. Notwithstanding the fact that paper  does not rela [...]
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