A Continuum Approach to the Nonlinear In-Plane Galloping of Shallow Flexible Cables

<div>Case-study 2: (a) bifurcation diagram (solid line: stable; dashed line: unstable); (b) reconstituted displacement <svg height="11.5564pt" id="M187" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 29.5115 11.5564" width="29.5115pt" 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="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path></g><g transform="matrix(.013,0,0,-0.013,5.863,0)"><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,-0.013,10.361,0)"><path d="M352 391C352 416 319 448 267 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Advances in Mathematical Physics

fig7

Figure 7

Figure 7: A Continuum Approach to the Nonlinear In-Plane Galloping of Shallow Flexible Cables 