Optimization of Equivalent Source Configuration for an Independent-Equivalent Source Method in Half-Space Sound Field

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Reflecting plane</td><td class="align_center">Retreat distance <svg height="12.6708pt" id="M123" style="vertical-align:-3.38247pt" version="1.1" viewbox="-0.0498162 -9.28833 11.8784 12.6708" width="11.8784pt" 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="M499 88L487 113C459 86 422 65 413 65C403 65 403 74 409 98L461 318C487 426 460 448 431 448C408 448 383 441 352 424C305 398 223 344 157 257H155L243 674C249 702 249 712 240 712C227 712 170 680 87 673L82 648H117C155 648 162 644 150 590L23 -4L30 -12C55 -4 81 3 105 8C113 53 131 150 143 187C199 281 323 387 372 387C390 387 393 369 380 311L328 86C313 19 319 -12 347 -12C379 -12 442 24 499 88Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.643,3.132)"><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"></path></g></svg> (m)</td><td class="align_center">Number of parameter group <svg height="14.8173pt" id="M124" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 108.989 14.8173" width="108.989pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M536 404C536 423 520 448 491 448C445 448 398 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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"></path></g><g transform="matrix(.013,0,0,-0.013,104.143,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg></td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">A marble floor</td><td class="align_center">−0.001</td><td class="align_center">5</td></tr><tr><td class="align_left">A marble floor</td><td class="align_center">−0.001</td><td class="align_center">18</td></tr><tr><td class="align_left">A marble floor</td><td class="align_center">−0.18</td><td class="align_center">6</td></tr><tr><td class="align_left">A piece of sponge</td><td class="align_center">−0.001</td><td class="align_center">13</td></tr><tr><td class="align_left">A piece of sponge</td><td class="align_center">−0.001</td><td class="align_center">6</td></tr><tr><td class="align_left">A piece of sponge</td><td class="align_center">−0.18</td><td class="align_center">21</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Equivalent source configurations for confirmation in experiments.</div>

Shock and Vibration

tab4

Table 4

Table 4: Optimization of Equivalent Source Configuration for an Independent-Equivalent Source Method in Half-Space Sound Field 