Filling Path Planning and Polygon Operations for Wire Arc Additive Manufacturing Process

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td class="align_left">Wire diameter</td><td class="align_center">Welding voltage (V)</td><td class="align_center">Welding current (A)</td><td class="align_center">Wire feed speed</td><td class="align_center">Welding speed</td><td class="align_center">Weld width (mm)</td><td class="align_center">Weld height (mm)</td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td class="align_left"><span style="width: 43.2388ptpx;"><svg height="9.24682pt" id="M45" style="vertical-align:-0.6109209pt" version="1.1" viewbox="-0.0498162 -8.6359 43.2388 9.24682" width="43.2388pt" 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="M411 648L381 663L349 596C321 620 285 635 241 635C89 635 35 457 35 312C35 217 55 118 102 56L63 -24L92 -43L128 29C157 3 194 -12 240 -12C390 -12 443 166 443 312C443 406 424 507 374 569L411 648ZM141 132C126 185 119 247 119 312C119 465 149 601 239 601C278 601 305 577 321 542L141 132ZM338 497C355 434 360 373 360 312C360 159 329 21 240 21C202 21 174 47 157 85L338 497Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,12.48,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,15.444,0)"><path d="M137 343C167 482 260 545 321 574C357 591 397 603 429 609L423 641C382 634 335 622 295 608C189 570 37 457 37 238C37 84 125 -12 242 -12C362 -12 447 89 447 209C447 311 374 393 267 393C247 393 226 386 204 376L137 343ZM227 337C318 337 361 256 361 173C361 105 336 22 258 22C176 22 126 120 126 240C126 266 127 291 132 310C155 323 189 337 227 337Z"></path></g><g transform="matrix(.013,0,0,-0.013,21.684,0)"><path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path></g><g transform="matrix(.013,0,0,-0.013,32.331,0)"><path d="M797 0V26C739 32 732 36 732 103V296C732 394 682 449 605 449C576 449 550 437 529 423C504 407 475 389 446 366C425 418 382 449 334 449C303 449 279 437 253 421C222 403 201 385 180 371V452C135 432 85 419 41 411V388C99 379 102 374 102 310V103C102 38 93 32 27 26V0H238V26C189 32 180 38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path></g></svg></span></td><td class="align_center">32</td><td class="align_center">300</td><td class="align_center">6000 mm/min</td><td class="align_center">450 mm/min</td><td class="align_center">11.4</td><td class="align_center">3.1</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Filling Path Planning and Polygon Operations for Wire Arc Additive Manufacturing Process 