Abstract
Based on the analysis of the conventional methods for composite materials compaction, the authors propose a vibration machine made as a form without bottom with a horizontal oscillation vibro-exciter mounted on its end face. To determine the rational parameters of the vibration machine we researched the “vibration form – composite medium” dynamic system wherein composite medium is represented in the form of a system with distributed parameters. This system takes into account the resilient, viscous, inertia and power properties of the compacted composite material. We formulated a partial differential equation describing the variation of stresses in the compacted medium depending on the dynamic module of resilient deformation, the coefficient of dynamic viscosity, the coefficient of non-resilient resistance and the compacted medium inertia in the functional dependence on the composite material density and relative deformation. We formulated an oscillation wave equation describing the propagation of the viscous-resilient-plastic waves of deformation in the compacted composite material. The solution of the oscillation wave equation resulted in the formulation of the law of the oscillation of the form and the compacted material. We determined the stresses occurring in the composite material. We obtained the relations for the determination of the vibration machine basic parameters depending on the physical and mathematical characteristics of the compacted composite material.
Highlights
Polymeric composite materials are more popular in comparison with others due to the simplicity of production, adaptability to manufacture and low price
It is possible to obtain sufficiently accurate results if the compacted medium is represented in the form of continuum [6 – 8], and its oscillations are described by a wave equation [9], taking into account the resilient and viscous properties of the compacted material. When these methods are used, the inertia properties and friction forces of the composite material components are not taken into consideration at their reorientation, approaching, deformation
That is why to choose the basic parameters of the vibration machine and the modes of vibratory action on the compacted material it is necessary to use a rheological model for the continuum with distributed parameters, which takes into account the resilient and non-resilient resistive forces as well as resistances caused by the action of the internal friction forces and the inertia of the composite material
Summary
Polymeric composite materials are more popular in comparison with others due to the simplicity of production, adaptability to manufacture and low price. It is possible to obtain sufficiently accurate results if the compacted medium is represented in the form of continuum [6 – 8], and its oscillations are described by a wave equation [9], taking into account the resilient and viscous properties of the compacted material. When these methods are used, the inertia properties and friction forces of the composite material components are not taken into consideration at their reorientation, approaching, deformation. The purpose of the present research consists in the determination of the vibration machine rational parameters based on the analysis of its interaction with the compacted composite material represented by a system with distributed parameters
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