APPROXIMATE SYNTHESIS OF FLAT LINK MECHANISMS BY THE TOTAL NUMBER OF PARAMETERS

Authors

  • Drakunov Y.М. 1 , Suyndikov А.А.

Keywords:

Mechanism, law of motion, transfer function, synthesis, quadratic approximation, kinematic pair, moving plane, link, link, Lagrange multiplier, generalized polynomial.

Abstract

The article considers the modern approach to the synthesis of the articulated four-link system by the method of approximating functions, which has acquired the form of the so-called “generalized polynomial”. A case of a connection of the type of
explosives (rotational, rotational) and VP (rotational, translational) is considered. On a fixed plane, the motion of two moving planes associated with the movement of the input and output links, i.e. coordinates and rotation angles for the positions of the
moving planes as a function of time are given. At the same time, we studied expressions and estimates for the indefinite Lagrange multipliers and. Whereas, an equation of degree 4 with respect to is obtained. Further, formulas are determinedfrom the objective function for determining all sizes of the mechanism (reproduction of the given transfer functions, the trajectories of the points and the solid) depending on the given synthesis parameters.

Published

2021-06-25