1518 JOURNAL OF COMPUTERS, VOL. 8, NO. 6, JUNE 2013 Figure 14. The contour error when adopt<strong>in</strong>g the <strong>in</strong>troduced contour error coupled-control approach based on curve <strong>in</strong>terpolation VII. CONCLUSIONS The CNC mach<strong>in</strong>e tools contour error coupled-control strategy based on l<strong>in</strong>e <strong>in</strong>terpolation and curve <strong>in</strong>terpolation is developed <strong>in</strong> the paper, which is with stable calculation error, high comput<strong>in</strong>g precision and satisfied real-time characteristic. For one th<strong>in</strong>g, br<strong>in</strong>g forward the contour error comput<strong>in</strong>g model based on l<strong>in</strong>e <strong>in</strong>terpolation and the contour error comput<strong>in</strong>g model based on curve <strong>in</strong>terpolation; For another th<strong>in</strong>g, add the obta<strong>in</strong>ed contour error to the follow<strong>in</strong>g error of current sampl<strong>in</strong>g period, and send the results to CNC PID position controller to calculate position controlled quantity. The contour error compensation control experimentation results show that the developed approach can reduce contour error effectively and enhance profile precision further. ACKNOWLEDGMENT The authors are grateful to the Project of the National Natural Science Foundation of Ch<strong>in</strong>a (No. 51105236), and the Shandong Prov<strong>in</strong>ce Promotive research fund for excellent young and middle-aged scientists of Ch<strong>in</strong>a (No.BS2011ZZ014). REFERENCES [1] Song Bao, Zhou Yunfei, “Research of the Multi-axis Integrated Control”, Mach<strong>in</strong>e Tool & Hydraulics, vol. 10, pp. 141-143, July 2004. [2] Ke-Han Su, M<strong>in</strong>g-Yang Cheng, “Contour<strong>in</strong>g accuracy improvement us<strong>in</strong>g cross-coupled control and position error Compensator”, International Journal of Mach<strong>in</strong>e Tools and Manufacture, vol. 48, pp. 1444-1453, April 2008. [3] M<strong>in</strong>g-Yang Cheng, Ke-Han Su, Shu-Feng Wang, “Contour error reduction for free-Form contour follow<strong>in</strong>g tasks of biaxial motion control systems”, Robotics and Computer- Integrated Manufactur<strong>in</strong>g, vol. 25, pp. 323-333, May 2009. [4] Q.Zhong, Y.Shi, J.Mo, “A L<strong>in</strong>ear Cross-Coupled Control System for High-Speed Mach<strong>in</strong><strong>in</strong>g”, International Journal of Advanced Manufactur<strong>in</strong>g Technology, vol. 19, pp. 558- 563, May 2002. [5] Li Shengyi, Zhang Yunzhou, Zhang M<strong>in</strong>gliang, “Cross- Coupled Algorithm Based Servo Control of Ultra precision CNC Mach<strong>in</strong>e Tool”, MANUFACTURING TECHNOLO -GY & MACHINE TOOL, vol. 7, pp. 10-12, March 2000. [6] Huan Ji, Ma Weim<strong>in</strong>, “Method for Calculat<strong>in</strong>g the Dynamic Path Error of NC Mach<strong>in</strong>e Tools Based on MATLAB”, Journal of Beij<strong>in</strong>g University of Aeronautics and Astronautics, vol. 4, pp. 299-302, April 2003. [7] Ernesto, Charlie A, Farouki, Rida T, “High-speed corner<strong>in</strong>g by CNC mach<strong>in</strong>es under prescribed bounds on axis accelerations and toolpath contour error”, International Journal of Advanced Manufactur<strong>in</strong>g Technology, vol. 58, pp. 327-338, May 2012. [8] Wang Li-Mei, Yang Qi, Sun Yi-Biao, “Iterative learn<strong>in</strong>g cross-coupled control for XY table based on real-time contour error estimation”, Advanced Materials Research, vol. 383-390, pp. 7054-7059, July 2012. [9] Huo Feng, Poo Aun-Neow, “Free-form two-dimensional contour error estimation based on NURBS <strong>in</strong>terpolation”, Applied Mechanics and Materials, vol. 157-158, pp. 236- 240, May 2012. [10] Conway Jeremy R, Ernesto Charlie A, Farouki, Rida T, “Performance analysis of cross-coupled controllers for CNC mach<strong>in</strong>es based upon precise real-time contour error measurement”, International Journal of Mach<strong>in</strong>e Tools and Manufacture, vol. 52, pp. 30-39, July 2012. [11] Huo Feng, Xi Xue-Cheng, Poo Aun-Neow, “Generalized Taylor series expansion for free-form two-dimensional contour error compensation”, International Journal of Mach<strong>in</strong>e Tools and Manufacture, vol. 53, pp. 91-99, March 2012. [12] Möhr<strong>in</strong>g H.-C, Gümmer O, Fischer R, “Active error compensation <strong>in</strong> contour-controlled gr<strong>in</strong>d<strong>in</strong>g”, CIRP Annals - Manufactur<strong>in</strong>g Technology, vol. 60, pp. 429-432, April 2011. [13] Wang Sheng-Bao, Liu Xiao-Hong, “New cross-coupl<strong>in</strong>g control of <strong>in</strong>dependent l<strong>in</strong>ear contour errors based on backlash”, Materials Science Forum, vol. 663-665, pp. 902-905, July 2011. [14] El Khalick M. A., Uchiyama Naoki, “Contour<strong>in</strong>g controller design based on iterative contour error estimation for three-dimensional mach<strong>in</strong><strong>in</strong>g”, Robotics and Computer-Integrated Manufactur<strong>in</strong>g, vol. 27, pp. 802-807, May 2011. [15] Ernesto Charlie A., Farouki Rida T, “Solution of <strong>in</strong>verse dynamics problems for contour error m<strong>in</strong>imization <strong>in</strong> CNC mach<strong>in</strong>es”, International Journal of Advanced Manufactur<strong>in</strong>g Technology, vol. 49, pp. 589-604, May 2010. [16] Syh-Shiuh Yeh, Pau-Lo Hsu, “Analysis and Design of Integrated Control for Multi-Axis Motion Systems”, IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, vol. 11, pp. 375-382, March 2003. [17] Myung-Hoon LEE, Seung-Han YANG, Young-Suk KIM, “A multi-axis contour error controller for free form Curves”, JSME International Journal, vol. 47, pp. 144-149, April 2004. [18] Peng Chao-Chung, Chen Chieh-Li, “Biaxial contour<strong>in</strong>g control with friction dynamics us<strong>in</strong>g a contour <strong>in</strong>dex approach”, International Journal of Mach<strong>in</strong>e Tools and Manufacture, vol. 47, pp. 1542-1555, May 2007. [19] Geng Lirong, Zhou Kai, “Research on Real Time Compensation Method Based on Time Series Predictive Technology for Contour Error of CNC Mach<strong>in</strong>e Tool”, Manufactur<strong>in</strong>g Technology & Mach<strong>in</strong>e Tool, vol. 6, pp. 22-25, July 2004. [20] Wang Baoren, Wang Jie, Zhang Chengrui, “Contour error vector model and its application to CNC systems”, Computer Integrated Manufactur<strong>in</strong>g Systems, vol. 16, pp. 1401-1407, May 2010. © 2013 ACADEMY PUBLISHER
JOURNAL OF COMPUTERS, VOL. 8, NO. 6, JUNE 2013 1519 [21] Zhao Ximei, Guo Q<strong>in</strong>gd<strong>in</strong>g, “Zero Phase Adaptive Robust Cross Coupl<strong>in</strong>g Control for NC Mach<strong>in</strong>e Multiple L<strong>in</strong>ked Servo Motor”, Proceed<strong>in</strong>gs of the CSEE, vol. 28, pp. 129- 133, April 2008. [22] Liu Yi, Cong Shuang, “Optimal Contour<strong>in</strong>g Control Based on Task Coord<strong>in</strong>ate Frame and Its Simulation”, Journal of System Simulation, vol. 21, pp. 3381- 3386, March 2009. [23] ZHAO Guo-yong, ZHAO Fu-l<strong>in</strong>g, XU Zhi-xiang, “Highprecision cross-coupled control approach based on NURBS curve <strong>in</strong>terpolator”, Journal of Dalian University of Technology, vol. 48, pp. 210-214, July 2008. Guoyong Zhao was born <strong>in</strong> Shandong, Ch<strong>in</strong>a <strong>in</strong> 1976. He has a Ph.D. <strong>in</strong> Mechanical and Electronic Eng<strong>in</strong>eer<strong>in</strong>g (2008) from Dalian University of Technology, Dalian, Ch<strong>in</strong>a. His ma<strong>in</strong> <strong>in</strong>terest is mechanical manufactur<strong>in</strong>g and automation technology. Hongj<strong>in</strong>g An was born <strong>in</strong> Hebei, Ch<strong>in</strong>a <strong>in</strong> 1987. She is a master postgraduate majored <strong>in</strong> mechanical manufactur<strong>in</strong>g and automation <strong>in</strong> Shandong University of Technology, Zibo, Ch<strong>in</strong>a. Her ma<strong>in</strong> <strong>in</strong>terest is mechanical manufactur<strong>in</strong>g and automation technology. Q<strong>in</strong>gzhi Zhao was born <strong>in</strong> Shandong, Ch<strong>in</strong>a <strong>in</strong> 1962. He has a Ph.D. <strong>in</strong> mechanical manufactur<strong>in</strong>g and automation (2005) from Nanj<strong>in</strong>g University of Aeronautics and Astronautics, Nanj<strong>in</strong>g, Ch<strong>in</strong>a. His ma<strong>in</strong> <strong>in</strong>terest is mechanical manufactur<strong>in</strong>g and automation technology. © 2013 ACADEMY PUBLISHER
- Page 1 and 2:
Journal of Computers ISSN 1796-203X
- Page 3:
Corn Moisture Measurement using a C
- Page 6 and 7:
1378 JOURNAL OF COMPUTERS, VOL. 8,
- Page 8 and 9:
1380 JOURNAL OF COMPUTERS, VOL. 8,
- Page 10 and 11:
1382 JOURNAL OF COMPUTERS, VOL. 8,
- Page 12 and 13:
1384 JOURNAL OF COMPUTERS, VOL. 8,
- Page 14 and 15:
1386 JOURNAL OF COMPUTERS, VOL. 8,
- Page 16 and 17:
1388 JOURNAL OF COMPUTERS, VOL. 8,
- Page 18 and 19:
1390 JOURNAL OF COMPUTERS, VOL. 8,
- Page 20 and 21:
1392 JOURNAL OF COMPUTERS, VOL. 8,
- Page 22 and 23:
1394 JOURNAL OF COMPUTERS, VOL. 8,
- Page 24 and 25:
1396 JOURNAL OF COMPUTERS, VOL. 8,
- Page 26 and 27:
1398 JOURNAL OF COMPUTERS, VOL. 8,
- Page 28 and 29:
1400 JOURNAL OF COMPUTERS, VOL. 8,
- Page 30 and 31:
1402 JOURNAL OF COMPUTERS, VOL. 8,
- Page 32 and 33:
1404 JOURNAL OF COMPUTERS, VOL. 8,
- Page 34 and 35:
1406 JOURNAL OF COMPUTERS, VOL. 8,
- Page 36 and 37:
1408 JOURNAL OF COMPUTERS, VOL. 8,
- Page 38 and 39:
1410 JOURNAL OF COMPUTERS, VOL. 8,
- Page 40 and 41:
1412 JOURNAL OF COMPUTERS, VOL. 8,
- Page 42 and 43:
1414 JOURNAL OF COMPUTERS, VOL. 8,
- Page 44 and 45:
1416 JOURNAL OF COMPUTERS, VOL. 8,
- Page 46 and 47:
1418 JOURNAL OF COMPUTERS, VOL. 8,
- Page 48 and 49:
1420 JOURNAL OF COMPUTERS, VOL. 8,
- Page 50 and 51:
1422 JOURNAL OF COMPUTERS, VOL. 8,
- Page 52 and 53:
1424 JOURNAL OF COMPUTERS, VOL. 8,
- Page 54 and 55:
1426 JOURNAL OF COMPUTERS, VOL. 8,
- Page 56 and 57:
1428 JOURNAL OF COMPUTERS, VOL. 8,
- Page 58 and 59:
1430 JOURNAL OF COMPUTERS, VOL. 8,
- Page 60 and 61:
1432 JOURNAL OF COMPUTERS, VOL. 8,
- Page 62 and 63:
1434 JOURNAL OF COMPUTERS, VOL. 8,
- Page 64 and 65:
1436 JOURNAL OF COMPUTERS, VOL. 8,
- Page 66 and 67:
1438 JOURNAL OF COMPUTERS, VOL. 8,
- Page 68 and 69:
1440 JOURNAL OF COMPUTERS, VOL. 8,
- Page 70 and 71:
1442 JOURNAL OF COMPUTERS, VOL. 8,
- Page 72 and 73:
1444 JOURNAL OF COMPUTERS, VOL. 8,
- Page 74 and 75:
1446 JOURNAL OF COMPUTERS, VOL. 8,
- Page 76 and 77:
1448 JOURNAL OF COMPUTERS, VOL. 8,
- Page 78 and 79:
1450 JOURNAL OF COMPUTERS, VOL. 8,
- Page 80 and 81:
1452 JOURNAL OF COMPUTERS, VOL. 8,
- Page 82 and 83:
1454 JOURNAL OF COMPUTERS, VOL. 8,
- Page 84 and 85:
1456 JOURNAL OF COMPUTERS, VOL. 8,
- Page 86 and 87:
1458 JOURNAL OF COMPUTERS, VOL. 8,
- Page 88 and 89:
1460 JOURNAL OF COMPUTERS, VOL. 8,
- Page 90 and 91:
1462 JOURNAL OF COMPUTERS, VOL. 8,
- Page 92 and 93:
1464 JOURNAL OF COMPUTERS, VOL. 8,
- Page 94 and 95:
1466 JOURNAL OF COMPUTERS, VOL. 8,
- Page 96 and 97: 1468 JOURNAL OF COMPUTERS, VOL. 8,
- Page 98 and 99: 1470 JOURNAL OF COMPUTERS, VOL. 8,
- Page 100 and 101: 1472 JOURNAL OF COMPUTERS, VOL. 8,
- Page 102 and 103: 1474 JOURNAL OF COMPUTERS, VOL. 8,
- Page 104 and 105: 1476 JOURNAL OF COMPUTERS, VOL. 8,
- Page 106 and 107: 1478 JOURNAL OF COMPUTERS, VOL. 8,
- Page 108 and 109: 1480 JOURNAL OF COMPUTERS, VOL. 8,
- Page 110 and 111: 1482 JOURNAL OF COMPUTERS, VOL. 8,
- Page 112 and 113: 1484 JOURNAL OF COMPUTERS, VOL. 8,
- Page 114 and 115: 1486 JOURNAL OF COMPUTERS, VOL. 8,
- Page 116 and 117: 1488 JOURNAL OF COMPUTERS, VOL. 8,
- Page 118 and 119: 1490 JOURNAL OF COMPUTERS, VOL. 8,
- Page 120 and 121: 1492 JOURNAL OF COMPUTERS, VOL. 8,
- Page 122 and 123: 1494 JOURNAL OF COMPUTERS, VOL. 8,
- Page 124 and 125: 1496 JOURNAL OF COMPUTERS, VOL. 8,
- Page 126 and 127: 1498 JOURNAL OF COMPUTERS, VOL. 8,
- Page 128 and 129: 1500 JOURNAL OF COMPUTERS, VOL. 8,
- Page 130 and 131: 1502 JOURNAL OF COMPUTERS, VOL. 8,
- Page 132 and 133: 1504 JOURNAL OF COMPUTERS, VOL. 8,
- Page 134 and 135: 1506 JOURNAL OF COMPUTERS, VOL. 8,
- Page 136 and 137: 1508 JOURNAL OF COMPUTERS, VOL. 8,
- Page 138 and 139: 1510 JOURNAL OF COMPUTERS, VOL. 8,
- Page 140 and 141: 1512 JOURNAL OF COMPUTERS, VOL. 8,
- Page 142 and 143: 1514 JOURNAL OF COMPUTERS, VOL. 8,
- Page 144 and 145: 1516 JOURNAL OF COMPUTERS, VOL. 8,
- Page 148 and 149: 1520 JOURNAL OF COMPUTERS, VOL. 8,
- Page 150 and 151: 1522 JOURNAL OF COMPUTERS, VOL. 8,
- Page 152 and 153: 1524 JOURNAL OF COMPUTERS, VOL. 8,
- Page 154 and 155: 1526 JOURNAL OF COMPUTERS, VOL. 8,
- Page 156 and 157: 1528 JOURNAL OF COMPUTERS, VOL. 8,
- Page 158 and 159: 1530 JOURNAL OF COMPUTERS, VOL. 8,
- Page 160 and 161: 1532 JOURNAL OF COMPUTERS, VOL. 8,
- Page 162 and 163: 1534 JOURNAL OF COMPUTERS, VOL. 8,
- Page 164 and 165: 1536 JOURNAL OF COMPUTERS, VOL. 8,
- Page 166 and 167: 1538 JOURNAL OF COMPUTERS, VOL. 8,
- Page 168 and 169: 1540 JOURNAL OF COMPUTERS, VOL. 8,
- Page 170 and 171: 1542 JOURNAL OF COMPUTERS, VOL. 8,
- Page 172 and 173: 1544 JOURNAL OF COMPUTERS, VOL. 8,
- Page 174 and 175: 1546 JOURNAL OF COMPUTERS, VOL. 8,
- Page 176 and 177: 1548 JOURNAL OF COMPUTERS, VOL. 8,
- Page 178 and 179: 1550 JOURNAL OF COMPUTERS, VOL. 8,
- Page 180 and 181: 1552 JOURNAL OF COMPUTERS, VOL. 8,
- Page 182 and 183: 1554 JOURNAL OF COMPUTERS, VOL. 8,
- Page 184 and 185: 1556 JOURNAL OF COMPUTERS, VOL. 8,
- Page 186 and 187: 1558 JOURNAL OF COMPUTERS, VOL. 8,
- Page 188 and 189: 1560 JOURNAL OF COMPUTERS, VOL. 8,
- Page 190 and 191: 1562 JOURNAL OF COMPUTERS, VOL. 8,
- Page 192 and 193: 1564 JOURNAL OF COMPUTERS, VOL. 8,
- Page 194 and 195: 1566 JOURNAL OF COMPUTERS, VOL. 8,
- Page 196 and 197:
1568 JOURNAL OF COMPUTERS, VOL. 8,
- Page 198 and 199:
1570 JOURNAL OF COMPUTERS, VOL. 8,
- Page 200 and 201:
1572 JOURNAL OF COMPUTERS, VOL. 8,
- Page 202 and 203:
1574 JOURNAL OF COMPUTERS, VOL. 8,
- Page 204 and 205:
1576 JOURNAL OF COMPUTERS, VOL. 8,
- Page 206 and 207:
1578 JOURNAL OF COMPUTERS, VOL. 8,
- Page 208 and 209:
1580 JOURNAL OF COMPUTERS, VOL. 8,
- Page 210 and 211:
1582 JOURNAL OF COMPUTERS, VOL. 8,
- Page 212 and 213:
1584 JOURNAL OF COMPUTERS, VOL. 8,
- Page 214 and 215:
1586 JOURNAL OF COMPUTERS, VOL. 8,
- Page 216 and 217:
1588 JOURNAL OF COMPUTERS, VOL. 8,
- Page 218 and 219:
1590 JOURNAL OF COMPUTERS, VOL. 8,
- Page 220 and 221:
1592 JOURNAL OF COMPUTERS, VOL. 8,
- Page 222 and 223:
1594 JOURNAL OF COMPUTERS, VOL. 8,
- Page 224 and 225:
1596 JOURNAL OF COMPUTERS, VOL. 8,
- Page 226 and 227:
1598 JOURNAL OF COMPUTERS, VOL. 8,
- Page 228 and 229:
1600 JOURNAL OF COMPUTERS, VOL. 8,
- Page 230 and 231:
1602 JOURNAL OF COMPUTERS, VOL. 8,
- Page 232 and 233:
1604 JOURNAL OF COMPUTERS, VOL. 8,
- Page 234 and 235:
1606 JOURNAL OF COMPUTERS, VOL. 8,
- Page 236 and 237:
1608 JOURNAL OF COMPUTERS, VOL. 8,
- Page 238 and 239:
1610 JOURNAL OF COMPUTERS, VOL. 8,
- Page 240 and 241:
1612 JOURNAL OF COMPUTERS, VOL. 8,
- Page 242 and 243:
1614 JOURNAL OF COMPUTERS, VOL. 8,
- Page 244 and 245:
1616 JOURNAL OF COMPUTERS, VOL. 8,
- Page 246 and 247:
1618 JOURNAL OF COMPUTERS, VOL. 8,
- Page 248 and 249:
1620 JOURNAL OF COMPUTERS, VOL. 8,
- Page 250 and 251:
1622 JOURNAL OF COMPUTERS, VOL. 8,
- Page 252 and 253:
1624 JOURNAL OF COMPUTERS, VOL. 8,
- Page 254 and 255:
1626 JOURNAL OF COMPUTERS, VOL. 8,
- Page 256 and 257:
1628 JOURNAL OF COMPUTERS, VOL. 8,
- Page 258 and 259:
1630 JOURNAL OF COMPUTERS, VOL. 8,
- Page 261:
Call for Papers and Special Issues
- Page 264:
(Contents Continued from Back Cover