Research on the Simulation Method for Equivalent Stiffness of Bolted Connection Thin Plate Structures

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td class="align_left" colspan="2" rowspan="2"></td><td class="align_center" colspan="4">Linear natural frequency <svg height="11.5564pt" id="M137" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 24.4747 11.5564" width="24.4747pt" 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="M729 650H468V622C546 615 554 610 554 527V365H213V527C213 610 221 616 297 622V650H38V622C120 616 128 611 128 527V123C128 39 120 34 40 28V0H303V28C221 34 213 40 213 123V322H554V123C554 39 546 34 460 28V0H728V28C647 34 639 39 639 123V527C639 610 647 615 729 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.326,0)"><path d="M387 138L374 114C336 54 316 33 240 33H141C223 167 303 295 385 423L379 437H149C112 437 100 443 94 458H73C65 415 50 352 39 314L64 305L78 332C106 388 119 403 191 403C214 403 246 403 280 403C198 270 117 142 31 15L38 0H367C382 40 399 86 413 125L387 138Z"></path></g><g transform="matrix(.013,0,0,-0.013,19.843,0)"><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 class="thead"><td class="align_center">First order</td><td class="align_center">Second order</td><td class="align_center">Third order</td><td class="align_center">Firth order</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td class="align_left" rowspan="4">Bolt preloads <svg height="11.5564pt" id="M138" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 27.6064 11.5564" width="27.6064pt" 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="M667 0V28C619 34 599 43 546 100C496 154 386 277 311 372C378 440 449 512 488 547C551 605 575 615 650 622V650H410V622L433 619C478 614 479 604 449 568C404 513 337 443 282 390C254 364 234 350 212 345V520C212 609 222 616 299 622V650H41V622C120 616 128 611 128 520V128C128 41 120 34 44 28V0H304V28C221 34 212 41 212 128V318C229 321 242 318 266 291C355 185 436 87 514 0H667Z"></path></g><g transform="matrix(.013,0,0,-0.013,13.247,0)"><path d="M719 650H483V622C553 619 576 606 581 560C585 532 588 487 588 394V148H585L167 650H20V622C67 618 88 610 109 585C127 562 129 557 129 484V264C129 173 126 124 123 93C118 44 92 31 35 28V0H272V28C204 32 181 44 176 95C173 124 170 172 170 264V515H172L598 -9H629V394C629 487 631 532 635 563C639 606 663 619 719 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.975,0)"><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><td class="align_center">1</td><td class="align_center">20.929</td><td class="align_center">79.824</td><td class="align_center">125.26</td><td class="align_center">232.53</td></tr><tr><td class="align_center">2.5</td><td class="align_center">20.865</td><td class="align_center">79.795</td><td class="align_center">125.17</td><td class="align_center">232.46</td></tr><tr><td class="align_center">5</td><td class="align_center">20.758</td><td class="align_center">79.747</td><td class="align_center">125.00</td><td class="align_center">232.35</td></tr><tr><td class="align_center">10</td><td class="align_center">20.545</td><td class="align_center">79.656</td><td class="align_center">124.68</td><td class="align_center">232.12</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>First 4th order linear natural frequency of the structure under different bolt preloads.</div>

International Journal of Aerospace Engineering

tab3

Table 3

Table 3: Research on the Simulation Method for Equivalent Stiffness of Bolted Connection Thin Plate Structures 