[ ] 2 1 1 ( ) ( ) min S N m k k P S k fP P f N = = ∆ ⇒ ∑ 1,..., ( ) max ( ) min S k k P k N fP P f = = ∆ ⇒ * ( ) ( ) , 1,&, k k k S P P k N ∆ = − = Middle-East Journal of Scientific Research 21 (12): 2339-2345, 2014 ISSN 1990-9233 © IDOSI Publications, 2014 DOI: 10.5829/idosi.mejsr.2014.21.12.21808 Corresponding Author: S. Joldasbekov, Institute of Mechanics and Mechanical Engineering Named after Academician U.A. Joldasbekov of the Committee for Science of the Ministry of Education and Science of the Republic of Kazakhstan. 2339 Modular Synthesis of Plane Lever Six-Link Mechanism of High Class S. Joldasbekov, S. Ibraev, A. Zhauyt, A. Nurmaganbetova and N. Imanbaeva 1 2 3 4 5 Institute of Mechanics and Mechanical Engineering Named after Academician U.A. Joldasbekov of the Committee for Science of the Ministry of Education and Science of the Republic of Kazakhstan Kazakh National Technical University Named after K.I. Satpaev, Institute of Industrial Engineering, Almaty and Republic of Kazakhstan Abstract: Advantages of the modular synthesis method are considered based on an example of the problem of synthesis of six-link hinge-lever mechanisms. In the case where four-link mechanism cannot reproduce a predetermined motion of the output link with satisfactory accuracy, then the synthesis of six-link mechanisms is considered. Herein, the solution of the assigned task of synthesis of six-link transfer mechanisms is reduced to approximated problem of finding of umbilical points and has an analytical solution for three of the five parameters, so the search for the minimum of the objective function is performed by two variables only. This tangibly facilitates the computational algorithm. Key words: Six-link Hinge-lever mechanisms Four-link mechanism Algorithm INTRODUCTION As you know, it is more appropriate applying block and modular synthesis methods in terms of the requirements of the automation of conceptual design stage of mechanisms. In this case, the procedure of mechanisms synthesis with different structural scheme and different classes may be reduced to the uniform Fig. 1: Hinge four-link chain as a transfer mechanism procedures of structural modules synthesis - the simplest structural units of synthesis [1]. (1) The transfer function is desined during transfer mechanisms synthesis = ( ), , where by or 1 2 is designated generalized coordinate of a mechanism and by - turning angle of balancing lever (Fig. 1). In the (2) tasks of practical synthesis which are solved using numerical methods, the transfer function is defined by N here - is a deviation function S and successive values in tabular form. For automated k * synthesis of mechanisms of the second class – it (3) isdeveloped a program of synthesis “Opt_syn” with a number of links 4, 6 and 8 (program segments are given in Defining the parameters of the synthesis of P is the Annex) wherein the numerical minimization of carried out by minimizing the presented objective objective function is made: functions by well-known numerical methods: k