A Discrete Model for Nonlinear Vibration of Beams Resting on Various Types of Elastic Foundations

<div>Nondimensional frequency<svg height="22.7523pt" id="M353" style="vertical-align:-7.5764pt" version="1.1" viewbox="-0.0498162 -15.1759 68.6165 22.7523" width="68.6165pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,-.146)"><path d="M772 1098H727L517 -348H515L294 324L133 259L147 224L245 263L524 -588H526L772 1098Z" id="g119-122"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="764" vert-adv-y="764"></glyph.data></g><rect height="0.65243" width="42.067" x="10.2172" y="-14.4737"></rect><g transform="matrix(.013,0,0,-0.013,10.217,0)"><path d="M615 290C615 392 563 448 529 448C511 448 491 441 484 434L483 425C518 400 546 349 546 273C546 158 504 46 417 46C381 46 356 77 356 142C356 184 380 293 392 334L387 340L307 323C305 288 296 228 287 188C265 94 221 52 180 52C144 52 112 89 112 171C112 278 164 372 241 430L226 454C106 394 23 288 23 155C23 40 79 -12 139 -12C184 -12 245 32 285 85C292 31 322 -12 376 -12C423 -12 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Advances in Acoustics and Vibration

fig7

Figure 7

Figure 7: A Discrete Model for Nonlinear Vibration of Beams Resting on Various Types of Elastic Foundations 