Supercritical Coexistence Behavior of Coupled Oscillating Planar Eccentric Rotor/Autobalancer System

<div>Effect of damping ratio <svg height="14.8173pt" id="M356" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 33.5572 14.8173" width="33.5572pt" 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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z" id="g113-68"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"><path d="M397 380C406 395 404 411 396 425S369 451 350 451C302 451 239 372 192 294H189L199 338C214 407 207 451 180 451C152 451 83 405 30 345L48 318C87 354 117 372 125 372S135 362 127 324L55 -5L61 -12C87 -5 117 3 139 5C154 87 168 162 179 207C198 250 240 310 260 332C281 355 297 366 307 366C321 366 333 360 347 346C351 342 360 342 369 348C379 355 389 366 397 380Z" 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id="g50-103"></path></g></svg> and rotor speed ratio <svg height="11.9479pt" id="M357" style="vertical-align:-0.04979992pt" version="1.1" viewbox="-0.0498162 -11.8981 9.97754 11.9479" width="9.97754pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.65243" width="9.87791" x="0" y="-11.1958"></rect><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M719 146L691 147C666 77 657 72 612 72H528C572 125 688 224 688 364C688 546 558 665 384 665C212 665 77 541 77 361C77 221 188 124 239 72H150C110 72 97 80 73 147L46 146L63 0H307L314 18C284 71 178 203 178 360C178 529 256 631 383 631C509 631 588 523 588 363C588 197 485 67 453 18L458 0H701L719 146Z" id="g113-153"></path></g></svg> on stable balanced, merged, and limit cycle regions for (a) <svg height="12.6199pt" id="M358" style="vertical-align:-3.38375pt" version="1.1" viewbox="-0.0498162 -9.23615 73.126 12.6199" width="73.126pt" xmlns="http://www.w3.org/2000/svg" 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Shock and Vibration

fig10

Figure 10

Figure 10: Supercritical Coexistence Behavior of Coupled Oscillating Planar Eccentric Rotor/Autobalancer System 