CC BY
25Сетевое издание Совета ректоров вузов Большого Алтая
МАШИНОСТРОИТЕЛЬНЫЕ ТЕХНОЛОГИИ И ОБОРУДОВАНИЕ
UDK 677.05
STMat l abftfflX&^flJ^mftftfl^ffi* (ANALYSIS AND SIMULATION OF THREAD-TAKING-UP MECHANISM OF SLEEVE FORK SEWING MACHINE BASED ON MATLAB1)
«M^1*, mm1, mw, MM2, rnrnm2
1 - ^U, mit, 430073, +H;
2 - 515300, +H [email protected], [email protected]
1 Us
2 mmmrn^fttt
fa, gffBDft^ff, 8
1 This paper was supported by the Research Foundation of Guangdong and Hubei province, China.
4
5
1
к
mmM^mmm^&um
Fig.2 Three-dimensional structure and kinematic diagram of picking thread mechanism
n^mnmn:
¡L cos0i + L C°s02 = L cos03 + xc I L sin 0 + L sin 02 + L sin 03 = yc
(1)
\L2 cos 02 = L cos03 + - L cos0J I L2 sin02 = —L3 sin0 + yc - L sin0j
(2)
L2 = (xc — L1 cos01)2 + (yc — L1 sin01)2 + L3
+ 2(xc — L cos 0 )L cos 0 — 2(yc — L sin0 )L3 sin03 M = 2(xc — L cos 0 )L3 N = 2(yc — L1 sin 01 )L3
P = L32 — L22 + (xc — L1 cos01 )2 + (yc — L1 sin01 /
Mcos 0 — Nsin 0 + P = 0
sn03 = 2tan(03 7V 03 =
3 1 + tan2 (0 / 2 )
(3)
1 — tan2 (0 / 2 ) 1 + tan2 (0 / 2 )
(P — M ) tan2 (03 / 2 > — 2Ntan( 0 / 2 > + M + P = 0
N — >/n2 — P2 + M2
0 = 2 arctan
P—M
(4)
«Grand Altai Research &
>ue 1, 2016, page 18 of 127
Сетевое издание Совета ректоров вузов Большого Алтая
- L sin03 + Ус ~ L sin0!
ш
02 = arctan-3-3—^-1-1 (5)
L cos03 + - L cos0J
SOD^M^ :
JoD = Lei01 + L2ei02 - L2 eia ^
ja = 8 + 0 2
\ODx = LicosQl+L2cosQ2 — L-,'cosa. (j^
1 ODv - sin 6j +L2 sin 6-, -L2 sin a
3 mmtmrniftttm
ft^o
L1=14.5;L2=20.5;L3=33.95; L21=42;t=110; , L21@P^¿2'
cx=-7 ; cy=35 ; % (-7,35),
for th=0:5:360;
syms X Y x1 x2 x3
x1=th*pi/180;t=t*pi/180;
N=2*(cy-L1*sin(x1))*L3;
M=2*(cx-L1*cos(x1))*L3;
P=(L3)A2-(L2)A2+(cx-L1* cos(x1))A2+(cy-L1*sin(x1))A2; x3=2*atan((N-sqrt(NA2-PA2+MA2))/(P-M));
x2=atan((-L3*sin(x3)+cy-L 1*sin(x1))/(L3*cos(x3)+cx-L1*cos(x1)));
X=L1*cos(x1)+L2*cos(x2)-L21*cos(t+x2);
Y=L1*sin(x1 )+L2* sin(x2) -L21*sin(t+x2);
plot(X,Y,'*')
hold on
titiecmm^D^g^m^')
end
_Table5.1 Parameter of picking thread mechanism_
10 10 12 12 l3 8
35mm 7mm 14.5mm 20.5mm 42mm 33.95mm 110°
4 m*m
0 20 40
Fig.2 Trajectory of Pick line point D
^Mmummrn
[ 1] j^[J]. m «ft ,2011(9):316-317.
[3] Xie Xiaohui,Sun Qiang,Du Ruxu,et al. Design and Kinematics Simulation of a High Speed Sewing Machine[A].In:Proceedings of 2008 International Conference on Modelling, Identification and Control[C].Geneva ,SWITZERLAND,Inderscience Publishers,2009,7(1):
38-42.
[4]ZHOU Yuzhu. System for Sewing Machine Industry Standard Innovation—Constructive Research for a Technical Standards System for Sewing Machines[J].China Standardization,2007
[5]:18-24.
M^S^ffc ,2014, 36(7):12-15.
References
[1] Hu Rui. Present Situation and Development Trend of Sewing Machine[J]. Business Culture, 2011(9):316-317.
[2] Zou Huijun, Zhang Long. Basic Method and Application of Sewing Equipment's Innovative Design[A]: International Symposium of Chinese Institutions and Machine Science Applications[C]. Shanghai: Machine Design and Research Press, 2007:51-
Сетевое издание Совета ректоров вузов Большого Алтая
Ш
[3] Xie Xiaohui,Sun Qiang,Du Ruxu,et al. Design and Kinematics Simulation of a High Speed Sewing Machine[A].In:Proceedings of 2008 International Conference on Modeling, Identification and Control[C].Geneva ,SWITZERLAND,Inderscience Publishers,2009,7(1):
38-42.
[4]ZHOU Yuzhu. System for Sewing Machine Industry Standard Innovation— Constructive
Research for a Technical Standards System for Sewing Machines[J].China Standardization,2007 (5):18-24.
[5] Zhang Xinmin, Zhu Xuejun, Zhao Chenchen, Chen Guan. Based on MATLAB HP20 Robot Kinematics Analysis and Simulation. Manufacturing Automation, 2014, 36(7):12-15
