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surface, expression for, 145 146 synthesis of motion, B-splines in, 144 152 Three-dimensional cams See 3-D cams 3-4-5 polynomial curves in dwell-rise-dwell cam, 58t, 91 92, 92f, 93, 94t, 95f dynamic characteristics of, 405f, 406f in polydyne design, 439, 440 443 3-4-5-6-7 polynomial curves, 102 Time charts in graphical layout method, 160, 161f uses of, 18, 18f Timing diagrams See Time charts TK Solver software, 563 Tolerances accumulated error and, 296 extreme, jerk and, 296 probabilistic error and, 294, 294f, 295f typical, 291 Toolmakers, input from, 25 Torque, 219 220, 228 236 in cycloidal curve, 230, 231f in at-faced followers, 230 232, 231f in roller followers, 228 230, 230f, 308 309 in simple harmonic curves, 230, 231f in sine curve, modi ed, 230, 231f Torque-controlled cams, 232 235, 233f, 234f Torque-controlled wrapping cams, 235 236 Torque curve, in cam-follower design, 21 Torsional ratcheting microactuator, 514 516, 516f, 517f Torsional springs, 334, 334f Trace point, 18, 19f, 162f Transition point, 17f, 18, 19 Translating cams characteristics of, 5f, 6, 7f linear ball bearings for, 222, 222f Translating at-faced followers curvature of, 190, 190f, 191f pressure angle forces in, 168 169, 168f, 189 190 torque in, 230 232, 231f Translating knife-edge follower curvature of, 191f, 192 pressure angle of, 191f, 192 relevance of, 190 192 Translating roller follower pressure angle forces in, 163 166, 164f, 166f torque in, 228 230, 230f, 308 309 Trapezoidal cam, acceleration DRS of, 402, 403f
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INDEX
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Trapezoidal curves, 58t, 61, 61f building of, 61 factors for, 554t modi ed, 58t, 61 70, 62f, 68f characteristics of, 76, 77f 78f dynamic characteristics of, 404f, 405f, 406f high-speed systems and, 448 skewed modi ed, 70 73, 71f, 72f Trigonometric curves characteristics of, 32, 40 48 comparison of, 48 49, 50t, 51f 52f Trigonometric series, nite, cams synthesis using, 407 416, 449 Troubleshooting, general approach to, 24 Truncation errors, integrals and, 177, 187 Tuned cam design, 408 413, 416 Tuned dwell-rise-dwell cams, optimization of, 421 425 Tuned dwell-rise-return-dwell cams, optimization of, 425 427 Two-revolutions-per-cycle cams, 474 475, 475f 2-3 polynomial curve, 90 91, 91f Undercutting in cam-roller follower, 170 172, 172f in at-faced follower, 173, 173f Unidirectional cam clutches, 470 471, 470f Uniform displacement curve See Constant velocity curve UNIGRAPHICS software, 203, 562 UTILITY ENGINE PROGRAMS software, 541, 564 Vacuum degassing, 302 Vacuum induction, 302 Vacuum induction-melting vacuum arc remelting (VIM-VAR), 302 Valve bounce, 540 541, 540f VALVE PRO software, 541, 564 Valve train lash, 539 540, 539f Variable-angular-velocity cams, 480, 481f Variable-dwell cam, 472, 473f Variable valve timing (VVT), 471 Vector rst moment, of solid region, 185, 194 197 Velocity in automotive cams, 536, 537f, 538f in combining curves, 57, 63 in constant acceleration curve, 35 36, 35f, 50t, 51f, 58t skewed, 37f, 38
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in constant velocity curve, 33, 33f, 50t in cubic no 1 curve, 39, 39f, 50t, 51f in cubic no 2 curve, 40, 41f, 50t, 51f in curve factor calculations, 551 in cycloidal curve, 45, 45f, 50t, 52f, 58t, 77f, 83f in dwell-rise-dwell curves, general derivation, 94 96 in eighth-degree polynomial curves, 84f in elliptical curve, 48, 49f equation for, 28 29 factors in, 30 in Freudenstein 1-3-5 harmonic, 104 105 in Freudenstein 1-3 harmonic, 104 in Gutman 1-3 harmonic, 103 in harmonic curve double, 46, 46f, 50t, 51f simple, 42 44, 42f, 50t, 52f, 58t, 82f in polynomial curves 2-3, 90 91, 91f 3-4-5, 58t, 91 92, 92f 4-5-6-7, 58t, 93, 94f simple, 32 in polynomial equation, 90 relative tangential, 455 sign of, 29 in sine curve, modi ed, 58t, 76, 77f spline weight sequence and, 123 124 in trapezoidal curve, 58t modi ed, 58t, 61 67, 62 63, 68f, 77f skewed modi ed, 70 73, 71f, 72f Velocity curve, slope of, 29 VERSACAD software, 203, 562 Vibration in closed-track cams, 378 384, 379f, 380f, 381f, 382f as compliance measure, 357 (see also Compliance) dynamic response spectra de nition of, 401 402 of dwell-rise-dwell cams, 402 406, 404f, 405f, 406f factors affecting, 372 374, 400 forces in, 220 in high-speed systems, 447 minimization of in cam pro le design, 103 overview of, 406 407 with polydyne design, 434 447, 450 models of in elastic camshaft one-degree-of-freedom, 374 384
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