Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/sv/volume-2016/8978932/figures/8978932.fig.0016a.svgz" name="8978932.fig.0016a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>Time history</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/sv/volume-2016/8978932/figures/8978932.fig.0016b.svgz" name="8978932.fig.0016b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>Frequency spectrum plot</td></tr><tr class="fig-image" id="c"><td><object data="https://static.hindawi.com/articles/sv/volume-2016/8978932/figures/8978932.fig.0016c.svgz" name="8978932.fig.0016c" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(c) </b>Phase portraits</td></tr><tr class="fig-image" id="d"><td><object data="https://static.hindawi.com/articles/sv/volume-2016/8978932/figures/8978932.fig.0016d.svgz" name="8978932.fig.0016d" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(d) </b>Poincare section</td></tr></table>

<div>The chaotic motion of cylindrical shell at <svg height="9.49473pt" id="M170" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 27.4062 9.49473" width="27.4062pt" 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="M452 333C452 398 425 448 375 448C329 448 235 404 140 292H138L229 683C233 701 234 712 225 712C208 712 149 686 66 677L64 652H97C135 652 140 651 129 598L38 167C23 96 29 57 44 33C60 7 98 -12 132 -12C169 -12 232 3 290 41C383 102 452 223 452 333ZM365 316C365 199 308 87 239 49C221 39 200 35 183 35C137 35 99 70 112 163C116 191 123 215 129 233C190 316 290 392 330 392C348 392 365 372 365 316Z" id="g113-99"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="469" vert-adv-y="469"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,9.733,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="587" vert-adv-y="587"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,20.996,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g></svg>.1 mm.</div>

Shock and Vibration

fig16

Figure 16

Figure 16: Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition 