A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions

<table class="fixed-width table-group" id="tab9"><tr><td><table class="table"><colgroup><col style="width:1.78em"/><col style="width:3.91em"/><col style="width:3.90em"/><col style="width:4.21em"/></colgroup><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left"><span style="width: 6.6501ptpx;"><svg height="6.1673pt" id="M173" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.6501 6.1673" width="6.6501pt" 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="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path></g></svg></span></td><td class="align_center">CSDT</td><td class="align_center">FEM</td><td class="align_center">present</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">1</td><td class="align_center">1299.6</td><td class="align_center">1301.6</td><td class="align_center">1302.3</td></tr><tr><td class="align_left">2</td><td class="align_center">1314.2</td><td class="align_center">1316.4</td><td class="align_center">1317.5</td></tr><tr><td class="align_left">3</td><td class="align_center">1820.1</td><td class="align_center">1822.5</td><td class="align_center">1823.1</td></tr><tr><td class="align_left">4</td><td class="align_center">2254.9</td><td class="align_center">2256.2</td><td class="align_center">2257.0</td></tr><tr><td class="align_left">5</td><td class="align_center">2263.2</td><td class="align_center">2266.3</td><td class="align_center">2267.4</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Comparison of natural frequencies of stiffened cylindrical shells with clamped boundaries <svg height="9.49473pt" id="M172" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.83278 9.49473" width="6.83278pt" 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></svg>=0.005 m.</div>

Mathematical Problems in Engineering

tab9

Table 9

Table 9: A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions 