Time Period of the Vibration of the Circular Plate with Circular Variation Both in Thickness and Density

<div>Comparison of the time period of the clamped circular plate with [<a href="/journals/mpe/2021/4723759/#B16">16</a>] corresponding to tapering <span class="nowrap"><svg height="7.81145pt" id="M174" style="vertical-align:-0.2063899pt" version="1.1" viewbox="-0.0498162 -7.60506 8.77704 7.81145" width="8.77704pt" 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="M642 327C642 461 565 582 389 582C298 582 219 548 176 519L185 491C235 515 291 526 348 526C477 526 572 452 572 268C572 145 509 51 431 51C396 51 366 78 366 145C366 189 391 295 402 337L396 341L320 332C315 289 306 229 296 187C276 99 230 55 185 55C149 55 111 89 111 170C111 275 160 373 238 431L222 457C99 394 23 290 23 157C23 40 81 -12 142 -12C185 -12 254 33 293 86C301 31 340 -12 394 -12C437 -12 477 8 524 50C589 108 642 203 642 327Z"></path></g></svg>.</span></div>

Mathematical Problems in Engineering

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Figure 9

Figure 9: Time Period of the Vibration of the Circular Plate with Circular Variation Both in Thickness and Density 