KINEMATIC STUDY OF THE STANDARD LAYOUT CIRCUIT OF THE INERTIA MODULE

The necessity of the links geometric parameters change of certain construction circuit of inertia convertor of the moment makes the analytical description overwhelming, therefore it is reasonable to bring the broad range of modifications to the standard model, the generalized description of which is intuitively clear. The objective of the study is to obtain the continuous in time basic kinematic functions of imbalance parameters using the methods of linear algebra and analytical geometry. For this purpose, absolutely fixed Cartesian coordinate system Oxyz is introduced with the axes crossing the point O, which is the crossing of the central axis of the mechanism with the axis OQ for the movable jet wheel z₁₇ and the imbalance drive 16; moreover, the central axis of the mechanism is aligned with the axis Ox, and in the initial moment the axis Oz is aligned with the axis OQ. Imbalance orientation at the initial moment is determined by the angular displacement е relative to the axis QA of the satellite z₆ and у relative to the axis OQ of the imbalance drive. As r_D = r_D(t), then the absolute motion of point D in which the imbalance centre of gravity is situated, is the superposition of three possible motions: rotation around the satellite axis QA with the speed V_QA(t) = w₆ х AD(t) laying in the initial cone base plane of a satellite z₁₇; rotation around the drive axis OQ with the speed V_OQ (t) = w₁₆ х OH (t) which is parallel to the plane xOy and rotation around the central axis of the mechanism Ox with the speed V_Ox (t) = w₁ х OP(t ) which is parallel to the plane yOz of the fixed coordinate system xOyz. Sums of projections of these vectors on the respective axes of the fixed coordinate system determine the projections of the vector V_DW (t). By the derivatives of the projection V_DW (t), the coordinates of vector a_DW (t) of the absolute acceleration of point D are determined. Analytical dependencies in the form of timecontinuous functions are obtained under conditions ω₁₆=ω₂ (stop mode) and ω₁₆=ω₂=ω₁ (dynamic mode). Comparing the projection of components V_DxOy(t) , V_DyOz(t) , V_DxOz (t) and a_DxOy (t) a_DyOz (t)  a_DxOz (t) on the planes xOy, yOz, xOz of the fixed coordinate system respectively and the arms of these components relative to the point O makes it possible to further predict the dynamic parameters in random trajectory points (at any moment of time t). An analytical calculation of the module values of linear and angular velocities and accelerations, as well as drawing the corresponding diagrams were made using MathCAD software operators