Nonlinear Dynamics of a Duffing-Like Negative Stiffness Oscillator: Modeling and Experimental Characterization

<div>Qualitative graph of the force <span class="nowrap"><svg height="14.2236pt" id="M18" style="vertical-align:-4.93527pt" version="1.1" viewbox="-0.0498162 -9.28833 27.8031 14.2236" width="27.8031pt" 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="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.384,3.132)"><path d="M443 689C443 696 439 701 427 701C388 701 338 667 299 636C236 640 219 678 219 695C219 710 226 721 233 730L208 744C164 729 134 695 134 672C134 635 185 597 258 594C148 500 24 351 24 186C24 82 71 43 140 21C159 15 179 9 202 4C244 -5 260 -26 260 -49C260 -96 218 -141 197 -162L226 -189C276 -146 340 -87 340 -19C340 32 308 60 260 72C247 75 221 83 200 90C142 110 112 135 112 209C112 349 209 508 312 591C361 597 443 623 443 689Z"></path></g><g transform="matrix(.013,0,0,-0.013,12.148,0)"><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,-0.013,16.646,0)"><path d="M475 507C475 612 440 712 326 712C139 712 23 420 23 215C23 96 58 -12 180 -12C369 -12 475 293 475 507ZM391 522C391 486 387 448 379 394H126C155 538 222 677 310 677C386 677 391 571 391 522ZM373 346C344 193 283 22 189 22C126 22 106 114 106 196C106 243 111 293 118 346H373Z"></path></g><g transform="matrix(.013,0,0,-0.013,23.121,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg>.</span></div>

Shock and Vibration

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Figure 4

Figure 4: Nonlinear Dynamics of a Duffing-Like Negative Stiffness Oscillator: Modeling and Experimental Characterization 