Global Quantitative Sensitivity Analysis and Compensation of Geometric Errors of CNC Machine Tool

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/mpe/volume-2016/2834718/figures/2834718.fig.007a.svgz" name="2834718.fig.007a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>Comparison of <svg height="12.0314pt" id="M291" style="vertical-align:-3.2911pt" version="1.1" viewbox="-0.0498162 -8.7403 13.3764 12.0314" width="13.3764pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M535 173C517 129 499 97 479 75C456 50 421 43 369 43C331 43 297 45 279 53C259 63 255 87 255 135V309H322C407 309 420 305 433 233H469V434H433C420 364 406 359 322 359H255V571C255 604 259 606 296 606H344C400 606 427 599 444 581C462 563 475 530 484 495L521 500C517 562 512 632 511 650H40V615C111 609 121 604 121 517V133C121 48 111 42 26 35V0H536C544 30 564 121 571 166L535 173Z" id="g13-67"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="581" vert-adv-y="581"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.553,3.132)"><path d="M545 403C545 425 527 451 498 451C448 451 400 404 312 286L290 341C262 412 246 451 219 451C182 451 138 404 92 345L112 323C152 368 169 378 181 378C192 378 201 359 216 321L257 214C184 115 142 69 113 69C102 69 93 73 88 79S78 89 68 89C47 89 24 61 24 40C24 8 49 -12 75 -12C125 -12 175 31 271 175L312 64C330 15 357 -12 382 -12C421 -12 475 35 515 98L496 121C466 88 439 62 420 62C402 62 384 92 363 147L325 247C349 280 374 309 397 333C422 361 446 381 462 381C471 381 481 374 488 366C493 360 499 357 505 357C521 357 545 380 545 403Z" id="g50-121"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="569" vert-adv-y="569"></glyph.data></g></svg> for with and without compensation</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/mpe/volume-2016/2834718/figures/2834718.fig.007b.svgz" name="2834718.fig.007b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>Comparison of <svg height="14.2693pt" id="M292" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.7403 13.5408 14.2693" width="13.5408pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M535 173C517 129 499 97 479 75C456 50 421 43 369 43C331 43 297 45 279 53C259 63 255 87 255 135V309H322C407 309 420 305 433 233H469V434H433C420 364 406 359 322 359H255V571C255 604 259 606 296 606H344C400 606 427 599 444 581C462 563 475 530 484 495L521 500C517 562 512 632 511 650H40V615C111 609 121 604 121 517V133C121 48 111 42 26 35V0H536C544 30 564 121 571 166L535 173Z" id="g13-67"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="581" vert-adv-y="581"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.553,3.132)"><path d="M563 395C563 428 543 451 519 451C500 451 480 438 472 423C468 415 465 403 470 394C477 381 482 368 482 347C482 272 386 136 342 74H340C334 163 323 257 312 337C302 410 290 451 257 451C214 451 160 385 127 338L145 310C169 341 203 373 209 373C219 373 225 369 232 325C249 215 269 62 271 -15C220 -80 135 -165 18 -231L26 -257L142 -230C254 -105 279 -74 342 13C394 85 484 211 526 286C553 334 563 365 563 395Z" id="g50-122"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="587" vert-adv-y="587"></glyph.data></g></svg> for with and without compensation</td></tr><tr class="fig-image" id="c"><td><object data="https://static.hindawi.com/articles/mpe/volume-2016/2834718/figures/2834718.fig.007c.svgz" name="2834718.fig.007c" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(c) </b>Comparison of <svg height="12.1228pt" id="M293" style="vertical-align:-3.3825pt" version="1.1" viewbox="-0.0498162 -8.7403 12.7918 12.1228" width="12.7918pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M535 173C517 129 499 97 479 75C456 50 421 43 369 43C331 43 297 45 279 53C259 63 255 87 255 135V309H322C407 309 420 305 433 233H469V434H433C420 364 406 359 322 359H255V571C255 604 259 606 296 606H344C400 606 427 599 444 581C462 563 475 530 484 495L521 500C517 562 512 632 511 650H40V615C111 609 121 604 121 517V133C121 48 111 42 26 35V0H536C544 30 564 121 571 166L535 173Z" id="g13-67"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="581" vert-adv-y="581"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.553,3.132)"><path d="M481 445L456 468C426 437 403 427 388 427C372 427 356 428 302 438C256 447 221 451 187 451C159 451 130 428 105 384C93 363 80 340 65 305L96 290C122 342 149 381 193 381C216 381 267 377 294 374S346 372 365 376L75 105C37 70 24 35 24 16C24 2 30 -5 35 -8C42 -8 46 -6 48 -2C58 14 75 35 90 41C102 46 116 46 147 32C200 8 267 -21 298 -21C347 -21 390 12 448 126L420 151C369 77 338 56 311 56C287 56 249 68 212 81C180 92 149 100 127 98C212 172 353 308 413 372L481 445Z" id="g50-123"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="505" vert-adv-y="505"></glyph.data></g></svg> for with and without compensation</td></tr></table>

<div>Geometric error comparison results of the three-axis machine tool.</div>

Mathematical Problems in Engineering

fig7

Figure 7

Figure 7: Global Quantitative Sensitivity Analysis and Compensation of Geometric Errors of CNC Machine Tool 