Combing Instrumental Variable and Variance Matching for Aircraft Flutter Model Parameters Identification

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Method</td><td class="align_center">Time (s)</td><td class="align_center"><span style="width: 6.84582ptpx;"><svg height="9.49473pt" id="M178" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.84582 9.49473" width="6.84582pt" 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="M494 514C482 587 419 712 303 712C238 712 174 667 174 603C174 561 205 514 249 449C219 438 187 422 162 407C93 366 23 283 23 177C23 69 87 -12 190 -12C244 -12 288 5 328 33C406 87 444 170 444 249C444 329 404 391 331 475C265 550 222 605 222 627C222 647 238 657 267 657C355 657 421 585 484 499L494 514ZM359 234C359 143 319 30 219 30C172 30 114 75 114 178C114 275 163 343 195 378C212 397 241 415 269 425C305 382 359 313 359 234Z"></path></g></svg></span></td><td class="align_center"><span style="width: 53.0763ptpx;"><svg height="14.6294pt" id="M179" style="vertical-align:-5.34107pt" version="1.1" viewbox="-0.0498162 -9.28833 53.0763 14.6294" width="53.0763pt" 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="M529 97L508 118C475 75 449 58 438 58C428 58 421 66 415 104C393 234 374 403 364 496C345 670 307 712 254 712C220 712 174 691 153 669L161 645C176 653 194 658 206 658C237 658 261 640 278 562C287 522 290 483 293 434C223 269 110 105 23 9L32 -12C59 -6 85 0 108 7C152 64 251 252 300 366C307 297 315 221 337 82C346 24 363 -12 393 -12C425 -12 475 13 529 97Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.761,3.132)"><path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,11.934,5.096)"><path d="M500 569C417 606 339 638 264 681H236C162 638 83 604 0 569L17 534C91 553 170 579 250 601C323 578 406 553 483 534L500 569Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,11.556,5.233)"><path d="M541 97L524 132C497 101 450 73 440 73C435 73 433 81 438 112C459 231 485 344 513 454H504L425 426C395 291 413 366 391 279C348 194 231 66 163 66C154 66 139 82 152 137L206 371C221 437 216 454 185 454C160 454 97 423 25 355L38 321C85 359 111 379 120 379S127 369 121 341L67 113C61 89 60 69 60 53C60 3 82 -12 110 -12C135 -12 168 -5 200 19C253 58 315 106 371 181H373L359 111C337 -1 359 -12 378 -12C417 -12 480 31 541 97Z"></path></g><g transform="matrix(.013,0,0,-0.013,19.891,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,31.154,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,37.394,0)"><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,-0.013,40.358,0)"><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,-0.013,46.598,0)"><path d="M456 178V225H360V632H320C217 496 115 347 20 206V178H280V106C280 40 276 34 189 27V0H445V27C364 34 360 39 360 106V178H456ZM280 225H82C149 335 214 431 278 520H280V225Z"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">IV</td><td class="align_center">10.4</td><td class="align_center">2.269</td><td class="align_center">0.209 ± 0.054</td></tr><tr><td class="align_left">IVC</td><td class="align_center">12.6</td><td class="align_center">1.679</td><td class="align_center">0.15 ± 0.013</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Comparison of the computation time.</div>

Shock and Vibration

tab1

Table 1

Table 1: Combing Instrumental Variable and Variance Matching for Aircraft Flutter Model Parameters Identification 