Research on Multiobjective Topology Optimization of Diesel Engine Cylinder Block Based on Analytic Hierarchy Process

<table class="fixed-width table-group" id="tab2"><tr><td><table class="table"><colgroup><col style="width:10.76em"/><col style="width:2.21em"/><col style="width:2.17em"/><col style="width:2.21em"/><col style="width:3.93em"/><col style="width:2.17em"/><col style="width:3.93em"/></colgroup><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td class="align_left">Constraint face</td><td class="align_center"><i>a</i></td><td class="align_center"><i>b</i></td><td class="align_center"><i>c</i></td><td class="align_center"><i>d</i></td><td class="align_center"><i>e</i></td><td class="align_center"><i>f</i></td></tr><tr><td class="align_left" colspan="7"><hr/></td></tr><tr><td class="align_left">Displacement freedoms</td><td class="align_center"><span style="width: 12.2581ptpx;"><svg height="14.45pt" id="M7" style="vertical-align:-5.48788pt" version="1.1" viewbox="-0.0498162 -8.96212 12.2581 14.45" width="12.2581pt" xmlns="http://www.w3.org/2000/svg" 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-253 136 -253C151 -253 164 -248 169 -228C185 -175 203 -120 273 41C342 204 375 284 399 337C425 392 435 401 488 409V439Z"></path></g></svg></td><td class="align_center"><span style="width: 11.7283ptpx;"><svg height="12.1436pt" id="M12" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -8.96212 11.7283 12.1436" width="11.7283pt" 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="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.176,3.132)"><path d="M394 142L380 118C343 58 321 37 246 37H148C231 169 310 295 394 423L387 439H154C117 439 106 445 99 460H75C67 417 51 354 40 313L70 303L83 330C110 386 125 401 192 401H284C201 269 121 142 33 17L40 0H375C391 40 408 87 423 127L394 142Z"></path></g></svg></span></td><td class="align_center"><svg height="12.1436pt" id="M13" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -8.96212 12.2033 12.1436" width="12.2033pt" 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="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.176,3.132)"><path d="M482 0V30C420 38 407 48 370 103L273 248C308 299 331 332 352 357C387 397 401 404 463 409V439H277V409C318 405 324 400 307 369C290 337 270 307 251 279L194 367C175 396 180 402 220 409V439H18V409C74 401 87 395 117 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-48 176 -81C153 -124 134 -146 102 -166C85 -177 77 -187 77 -203C77 -228 107 -253 136 -253C151 -253 164 -248 169 -228C185 -175 203 -120 273 41C342 204 375 284 399 337C425 392 435 401 488 409V439Z"></path></g></svg></td></tr><tr><td class="align_left" colspan="7"><hr/></td></tr><tr><td class="align_left">Rotation freedoms</td><td class="align_center" colspan="6"><svg height="11.8174pt" id="M15" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 13.1167 11.8174" width="13.1167pt" 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="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 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<div>The constraints of the cylinder block.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Research on Multiobjective Topology Optimization of Diesel Engine Cylinder Block Based on Analytic Hierarchy Process 