Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response Analysis

<div>Frequency response distribution: Transverse deflections over the combined sparse grids <svg height="12.1292pt" id="M344" style="vertical-align:-0.2454996pt" version="1.1" viewbox="-0.0498162 -11.8837 23.6692 12.1292" width="23.6692pt" 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="M571 489C571 598 494 687 374 687C259 687 169 605 169 498C169 421 218 372 294 372C365 372 419 422 442 503L423 508C402 449 368 402 297 402C237 402 210 444 210 497C210 590 282 654 371 654C456 654 495 603 495 506C495 437 458 340 407 249C336 125 246 15 167 15C119 15 90 30 73 69C78 66 91 63 98 63C126 63 145 89 145 116C145 141 121 163 94 163C59 163 36 130 36 91C36 40 74 -15 150 -15C253 -15 324 44 392 141H394C387 126 385 98 385 86C385 19 422 -14 486 -14C568 -14 622 51 691 139L671 154C596 67 552 30 515 30S465 56 465 95C465 162 505 261 532 323C620 520 713 654 786 654C774 642 769 626 769 614C769 582 794 568 819 568C846 568 873 588 873 624C873 669 839 687 799 687C730 687 653 632 573 489H571Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.583,-5.741)"><path d="M692 302H438V274C537 267 543 260 543 188V103C543 61 531 48 511 37C489 26 458 20 424 20C231 20 146 188 146 333C146 517 258 630 411 630C507 630 582 597 606 474L634 480C627 546 622 601 619 636C586 643 510 665 426 665C230 665 44 552 44 321C44 122 191 -15 411 -15C491 -15 573 7 635 21C629 49 628 81 628 116V202C628 261 632 266 692 274V302Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,18.09,-5.741)"><path d="M495 163C480 117 462 85 444 65C421 39 387 34 332 34C290 34 256 36 236 47C218 57 213 77 213 131V526C213 612 222 616 301 622V650H40V622C122 616 128 611 128 526V126C128 41 120 34 36 28V0H489C498 31 519 126 525 157L495 163Z"></path></g></svg> and <span class="nowrap"><svg height="12.1292pt" id="M345" style="vertical-align:-0.2454996pt" version="1.1" viewbox="-0.0498162 -11.8837 24.4365 12.1292" width="24.4365pt" 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="M571 489C571 598 494 687 374 687C259 687 169 605 169 498C169 421 218 372 294 372C365 372 419 422 442 503L423 508C402 449 368 402 297 402C237 402 210 444 210 497C210 590 282 654 371 654C456 654 495 603 495 506C495 437 458 340 407 249C336 125 246 15 167 15C119 15 90 30 73 69C78 66 91 63 98 63C126 63 145 89 145 116C145 141 121 163 94 163C59 163 36 130 36 91C36 40 74 -15 150 -15C253 -15 324 44 392 141H394C387 126 385 98 385 86C385 19 422 -14 486 -14C568 -14 622 51 691 139L671 154C596 67 552 30 515 30S465 56 465 95C465 162 505 261 532 323C620 520 713 654 786 654C774 642 769 626 769 614C769 582 794 568 819 568C846 568 873 588 873 624C873 669 839 687 799 687C730 687 653 632 573 489H571Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.583,-5.741)"><path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,17.698,-5.741)"><path d="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z"></path></g></svg>.</span> (a) Frequency = 65 Hz. (b) Frequency = 85 Hz.</div>

Shock and Vibration

fig10

Figure 10

Figure 10: Cylindrical Shell with Junctions: Uncertainty Quantification of Free Vibration and Frequency Response Analysis 