OBRABOTKAMETALLOV Vol. 23 No. 3 2021 MATERIAL SCIENCE EQUIPMENT. INSTRUMENTS 6 1 4 3 1 1 2 arcsin sin O C O C ν ξ æ ö÷ ç ÷ = ⋅ ç ÷ ç ÷ çè ø , (7) The angle value is v1 = 36.607°. The angles ω1 and ω2 are determined from the triangles O2B′C′ and O2BC: 2 2 2 2 2 1 2 2 arccos 2 O B O C C B O B O C ω æ ö ¢ ¢ ¢ ¢ + - ÷ ç ÷ ç = ÷ ç ÷ ç ¢ ¢ ⋅ ⋅ ÷ çè ø , (8) Then the angle is ɷ1= 55.014 °. 2 2 2 2 2 2 2 2 arccos 2 O B O C CB O B O C ω æ ö + - ÷ ç ÷ ç = ÷ ç ÷ ç ⋅ ⋅ ÷ çè ø , (9) Then ω2 = 63.874°. The swing angle of the roller shaft is determined by: 2 1 1 2 ( ) β ω ν ω ν = + - + , (10) Its value is β = 22.46°. Under such conditions, the stroke of the roller center is 27.44 mm. The dimension of the connecting link DE was determined by the position of the points DE and amounted to 1133 mm for the fourth heddle shaft. Based on the data from the technical documentation of the weaving machine manufacturer (Sibtextilmash plant), the minimum and maximum radius vectors of the cam were rmin = 124.5 mm and rmax = 152.5 mm; in this case, the stroke of the roller center along the chord is 28 mm. In order to leave these parameters unchanged, we changed the dimensions of the lever O3C, and interpolating the values obtained, we found the necessary size for the lever, equal to 142.5 mm, which provided the necessary stroke of the center of the roller (28 mm). The main dimensions of the lever system obtained as a result of synthesis are summarized in Table. Link dimensions Link dimensions, mm АО2 ВО2 ВС СО3 DО3 DE EО4 70 192.5 225 142.5 138.5 1133 138.5 To ensure an interlacing pattern based on 10 heddle shafts, the heddle lifting mechanism must allow for determining the stroke of each shaft [10]. For this purpose, consider the diagram shown in Fig. 3. Where hi is the height of the shed; t is the stroke between the heddle shafts; Δhi is the increments of the shafts stroke; αp is half of the angle of the shed, representing only a part of the shed. In this case, the amount of opening for a full shed (the stroke of heddle shafts) can be determined by the formula: 1 ( ( 1) tan( ) 2 n H h n t α é ù = + - ⋅ ⋅ ⋅ ê ú ë û ð , (11) To implement dependence (11), it is necessary that the dimensions of the lever DO3 correspond to the specifi ed motion of the heddle. Consider the kinematic scheme shown in Fig. 2. The angle μ1 for the arm DO3 is left unchanged, and the chord D0D takes a value equal to half the stroke of the heddle shaft. Taking into account the expression (11), we obtain: ( ) 1 tan 2 n n H L μ = ⋅ , (12)
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