Periodic Properties of 1D FE Discrete Models in High Frequency Dynamics

<div>Dispersion curves for the group velocity <svg height="11.4899pt" id="M245" style="vertical-align:-5.52899pt" version="1.1" viewbox="-0.0498162 -5.96091 10.0659 11.4899" width="10.0659pt" 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="M383 397C383 424 344 448 299 448C244 448 172 409 132 375C66 319 23 227 23 146C23 42 74 -12 146 -12C208 -12 298 30 359 103L343 124C315 95 248 48 192 48C145 48 111 85 111 163C111 228 129 294 151 330C171 363 201 401 241 401C275 401 302 384 325 356C332 347 339 344 348 348C373 360 383 381 383 397Z" id="g113-100"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="406" vert-adv-y="406"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,4.173,3.132)"><path d="M554 433L549 437C539 437 513 441 503 443C481 447 456 451 436 451C354 451 268 415 216 368C150 308 99 205 99 106C99 24 136 -12 165 -12C196 -12 243 14 268 33C318 70 374 118 415 181H419L395 39C374 -84 332 -149 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Mathematical Problems in Engineering

fig18

Figure 18

Figure 18: Periodic Properties of 1D FE Discrete Models in High Frequency Dynamics 