Mathematical Modeling of the Kinematic Scheme Planetary Mixer Mechanism

Abstract

Planetary mixer is presented, which uses drive mechanisms for the working bodies of the mortar mass mixture of a construction mortar mixer. The main objective of the study is to create a mathematical model in the mortar mixer mechanism of three different types of trajectory of the working blades with epicycloidal, hypocycloidal and vertical-circular lift of the mortar mixture from the bottom of the bowl to the upper level. To achieve this goal, a rotary screw auger is used for circulation with a central circular screw movement of the mortar mass mixture, which provides a vertical lift of the mixture mass for further mixing of the solution. The parametric equation of the screw conoid blade surface is obtained by an analytical method, and parametric equations of the epicyclic and hypocyclic motion of satellites in the planetary mechanism are determined. Methods: the article proposes theoretical developments of the device of planetary and rotary mechanisms, which were carried out according to the methodology of the main provisions of the theory of mechanisms and machines as applied to the technological processes of construction machines. The work is performed on the section of kinematic analysis of planetary mechanisms with determination of angular velocities of input and output links. Practical significance: providing multiple circulation of the solution mixture mass through planetary working blades and screw auger of several zones of different three types of trajectory of movement of mechanism links allowing intensive mixing of the mortar mixer. The discussion provides recommendations for further improvement of the developed planetary mixing mechanism.