Nonlinear Dynamics of Cutting Process considering Higher-Order Deformation of Composite Cutting Tool

<div>Comparison of results between the method of multiple scales and the numerical simulation (case I, L/d = 10, <svg height="9.42945pt" id="M195" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -9.22306 5.39742 9.42945" width="5.39742pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.65243" width="5.29779" x="0" y="-8.52081"></rect><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"></path></g></svg> = 0.03, <i>θ</i> = 0°, <svg height="11.9479pt" id="M196" 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"></path></g></svg> = 50, <i>K</i><sub><i>f</i></sub> = 1).</div>

Shock and Vibration

fig40

Figure 40

Figure 40: Nonlinear Dynamics of Cutting Process considering Higher-Order Deformation of Composite Cutting Tool 