Preface |
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xiii | |
About the Authors |
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xvii | |
Part 1 KINEMATICS AND MECHANISMS |
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1 | (194) |
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3 | (30) |
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3 | (1) |
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4 | (1) |
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4 | (1) |
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Terminology, Definitions, and Assumptions |
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5 | (5) |
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Planar, Spherical, and Spatial Mechanisms |
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10 | (1) |
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11 | (3) |
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Classification of Mechanisms |
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14 | (12) |
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26 | (1) |
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27 | (2) |
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29 | (4) |
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31 | (2) |
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Position and Displacement |
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33 | (46) |
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33 | (3) |
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36 | (1) |
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Position Difference Between Two Points |
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37 | (1) |
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Apparent Position of a Point |
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38 | (1) |
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Absolute Position of a Point |
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39 | (2) |
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The Loop-Closure Equation |
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41 | (4) |
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Graphic Position Analysis |
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45 | (6) |
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Algebraic Position Analysis |
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51 | (4) |
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Complex-Algebra Solutions of Planar Vector Equations |
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55 | (2) |
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57 | (3) |
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Position Analysis Techniques |
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60 | (4) |
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The Chace Solutions to Planar Vector Equations |
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64 | (4) |
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68 | (2) |
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Displacement of a Moving Point |
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70 | (1) |
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Displacement Difference Between Two Points |
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71 | (1) |
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72 | (2) |
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74 | (1) |
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75 | (4) |
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76 | (3) |
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79 | (62) |
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79 | (1) |
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80 | (2) |
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Velocity Difference Between Points of a Rigid Body |
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82 | (3) |
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Graphic Methods; Velocity Polygons |
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85 | (7) |
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Apparent Velocity of a Point in a Moving Coordinate System |
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92 | (5) |
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Apparent Angular Velocity |
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97 | (1) |
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Direct Contact and Rolling Contact |
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98 | (1) |
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Systematic Strategy for Velocity Analysis |
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99 | (1) |
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100 | (1) |
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101 | (4) |
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The Method of Kinematic Coefficients |
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105 | (11) |
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116 | (1) |
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Instantaneous Center of Velocity |
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117 | (2) |
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The Aronhold-Kennedy Theorem of Three Centers |
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119 | (1) |
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Locating Instant Centers of Velocity |
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120 | (3) |
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Velocity Analysis Using Instant Centers |
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123 | (3) |
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The Angular-Velocity-Ratio Theorem |
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126 | (1) |
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Relationships Between First-Order Kinematic Coefficients and Instant Centers |
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127 | (2) |
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129 | (1) |
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Indices of Merit; Mechanical Advantage |
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130 | (3) |
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133 | (8) |
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135 | (6) |
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141 | (54) |
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Definition of Acceleration |
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141 | (3) |
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144 | (1) |
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Acceleration Difference Between Points of a Rigid Body |
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144 | (7) |
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151 | (4) |
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Apparent Acceleration of a Point in a Moving Coordinate System |
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155 | (8) |
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Apparent Angular Acceleration |
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163 | (1) |
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Direct Contact and Rolling Contact |
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164 | (3) |
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Systematic Strategy for Acceleration Analysis |
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167 | (1) |
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168 | (1) |
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169 | (2) |
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The Method of Kinematic Coefficients |
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171 | (4) |
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175 | (2) |
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The Instant Center of Acceleration |
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177 | (1) |
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The Euler-Savary Equation |
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178 | (5) |
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The Bobillier Constructions |
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183 | (4) |
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Radius of Curvature of a Point Trajectory Using Kinematic Coefficients |
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187 | (1) |
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The Cubic of Stationary Curvature |
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188 | (7) |
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190 | (5) |
Part 2 DESIGN OF MECHANISMS |
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195 | (228) |
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197 | (55) |
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197 | (1) |
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Classification of Cams and Followers |
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198 | (2) |
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200 | (3) |
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Graphical Layout of Cam Profiles |
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203 | (4) |
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Kinematic Coefficients of the Follower Motion |
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207 | (4) |
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211 | (1) |
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212 | (10) |
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Matching Derivatives of the Displacement Diagrams |
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222 | (3) |
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Plate Cam with Reciprocating Flat-Face Follower |
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225 | (5) |
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Plate Cam with Reciprocating Roller Follower |
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230 | (22) |
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250 | (2) |
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252 | (34) |
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Terminology and Definitions |
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252 | (3) |
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Fundamental Law of Toothed Gearing |
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255 | (1) |
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256 | (1) |
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Interchangeable Gears; AGMA Standards |
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257 | (2) |
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Fundamentals of Gear-Tooth Action |
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259 | (3) |
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The Manufacture of Gear Teeth |
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262 | (3) |
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Interference and Undercutting |
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265 | (3) |
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268 | (2) |
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Varying the Center Distance |
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270 | (1) |
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271 | (3) |
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274 | (12) |
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282 | (4) |
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286 | (11) |
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Parallel-Axis Helical Gears |
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286 | (1) |
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Helical Gear Tooth Relations |
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287 | (2) |
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Helical Gear Tooth Proportions |
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289 | (1) |
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Contact of Helical Gear Teeth |
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290 | (1) |
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Replacing Spur Gears with Helical Gears |
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291 | (1) |
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292 | (1) |
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Crossed-Axis Helical Gears |
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292 | (5) |
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295 | (2) |
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297 | (9) |
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Straight-Tooth Bevel Gears |
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297 | (4) |
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Tooth Proportions for Bevel Gears |
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301 | (1) |
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302 | (1) |
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303 | (1) |
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304 | (2) |
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305 | (1) |
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306 | (5) |
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306 | (5) |
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310 | (1) |
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311 | (21) |
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Parallel-Axis Gear Trains |
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311 | (2) |
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313 | (1) |
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Determining Tooth Numbers |
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314 | (1) |
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315 | (2) |
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Bevel Gear Epicyclic Trains |
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317 | (1) |
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Analysis of Planetary Gear Trains by Formula |
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317 | (2) |
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Tabular Analysis of Planetary Gear Trains |
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319 | (4) |
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323 | (4) |
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327 | (5) |
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329 | (3) |
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332 | (36) |
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Type, Number, and Dimensional Synthesis |
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332 | (1) |
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Function Generation, Path Generation, and Body Guidance |
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333 | (1) |
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Two-Position Synthesis of Slider-Crank Mechanisms |
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333 | (1) |
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Two-Position Synthesis of Crank-and-Rocker Mechanisms |
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334 | (1) |
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Crank-Rocker Mechanisms with Optimum Transmission Angle |
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335 | (3) |
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338 | (1) |
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Four-Position Synthesis; Point-Precision Reduction |
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339 | (2) |
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Precision Positions; Structural Error; Chebychev Spacing |
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341 | (2) |
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343 | (1) |
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344 | (4) |
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Cognate Linkages; The Roberts-Chebychev Theorem |
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348 | (2) |
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Bloch's Method of Synthesis |
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350 | (2) |
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352 | (4) |
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Analytic Synthesis Using Complex Algebra |
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356 | (4) |
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Synthesis of Dwell Mechanisms |
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360 | (1) |
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Intermittent Rotary Motion |
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361 | (7) |
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366 | (2) |
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368 | (35) |
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368 | (1) |
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Exceptions in the Mobility of Mechanisms |
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369 | (4) |
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The Position-Analysis Problem |
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373 | (5) |
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Velocity and Acceleration Analyses |
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378 | (6) |
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384 | (3) |
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The Denavit-Hartenberg Parameters |
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387 | (2) |
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Transformation-Matrix Position Analysis |
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389 | (3) |
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Matrix Velocity and Acceleration Analyses |
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392 | (5) |
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Generalized Mechanism Analysis Computer Programs |
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397 | (6) |
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400 | (3) |
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403 | (20) |
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403 | (1) |
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Topological Arrangements of Robotic Arms |
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404 | (3) |
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407 | (4) |
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Inverse Position Analysis |
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411 | (3) |
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Inverse Velocity and Acceleration Analyses |
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414 | (4) |
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Robot Actuator Force Analyses |
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418 | (5) |
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421 | (2) |
Part 3 DYNAMICS OF MACHINES |
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423 | (302) |
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425 | (45) |
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425 | (2) |
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427 | (1) |
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428 | (1) |
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Applied and Constraint Forces |
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429 | (3) |
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432 | (1) |
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Conditions for Equilibrium |
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433 | (2) |
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Two- and Three-Force Members |
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435 | (8) |
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443 | (2) |
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445 | (3) |
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Static Force Analysis with Friction |
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448 | (3) |
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Spur- and Helical-Gear Force Analysis |
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451 | (6) |
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Straight-Bevel-Gear Force Analysis |
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457 | (4) |
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The Method of Virtual Work |
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461 | (9) |
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464 | (6) |
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Dynamic Force Analysis (Planar) |
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470 | (45) |
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470 | (1) |
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Centroid and Center of Mass |
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470 | (5) |
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Mass Moments and Products of Inertia |
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475 | (3) |
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Inertia Forces and D'Alembert's Principle |
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478 | (7) |
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The Principle of Superposition |
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485 | (4) |
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Planar Rotation About a Fixed Center |
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489 | (3) |
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Shaking Forces and Moments |
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492 | (1) |
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492 | (10) |
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502 | (13) |
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511 | (4) |
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Dynamic Force Analysis (Spatial) |
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515 | (27) |
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515 | (1) |
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Measuring Mass Moment of Inertia |
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515 | (4) |
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Transformation of Inertia Axes |
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519 | (4) |
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Euler's Equations of Motion |
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523 | (4) |
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527 | (1) |
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Angular Impulse and Angular Momentum |
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528 | (14) |
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538 | (4) |
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542 | (56) |
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Differential Equations of Motion |
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542 | (4) |
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546 | (1) |
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Solution of the Differential Equation |
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547 | (4) |
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551 | (2) |
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Phase-Plane Representation |
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553 | (2) |
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555 | (4) |
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559 | (4) |
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Free Vibration with Viscous Damping |
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563 | (2) |
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Damping Obtained by Experiment |
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565 | (2) |
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Phase-Plane Representation of Damped Vibration |
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567 | (4) |
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Response to Periodic Forcing |
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571 | (3) |
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574 | (5) |
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Forcing Caused by Unbalance |
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579 | (1) |
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580 | (1) |
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580 | (3) |
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583 | (3) |
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First and Second Critical Speeds of a Shaft |
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586 | (6) |
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592 | (6) |
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594 | (4) |
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Dynamics of Reciprocating Engines |
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598 | (23) |
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598 | (5) |
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603 | (3) |
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Dynamic Analysis---General |
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606 | (1) |
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606 | (3) |
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609 | (1) |
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610 | (3) |
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Bearing Loads in a Single-Cylinder Engine |
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613 | (3) |
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616 | (1) |
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616 | (1) |
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617 | (4) |
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620 | (1) |
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621 | (44) |
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621 | (1) |
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622 | (2) |
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Static Balancing Machines |
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624 | (2) |
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626 | (1) |
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627 | (8) |
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635 | (3) |
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638 | (2) |
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Field Balancing with a Programmable Calculator |
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640 | (3) |
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Balancing a Single-Cylinder Engine |
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643 | (4) |
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Balancing Multicylinder Engines |
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647 | (4) |
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Analytical Technique for Balancing Multicylinder Reciprocating Engines |
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651 | (5) |
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656 | (5) |
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661 | (4) |
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663 | (2) |
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665 | (13) |
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Rigid- and Elastic-Body Cam Systems |
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665 | (1) |
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Analysis of an Eccentric Cam |
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666 | (4) |
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Effect of Sliding Friction |
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670 | (1) |
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Analysis of Disk Cam with Reciprocating Roller Follower |
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671 | (2) |
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Analysis of Elastic Cam Systems |
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673 | (2) |
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Unbalance, Spring Surge, and Windup |
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675 | (3) |
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676 | (2) |
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678 | (7) |
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678 | (2) |
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680 | (2) |
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Multicylinder Engine Torque Summation |
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682 | (3) |
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683 | (2) |
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685 | (14) |
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685 | (1) |
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686 | (1) |
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687 | (1) |
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Mechanical Control Systems |
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687 | (2) |
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689 | (1) |
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Solution of Linear Differential Equations |
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690 | (5) |
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Analysis of Proportional-Error Feedback Systems |
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695 | (4) |
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699 | (26) |
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699 | (1) |
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The Motion of a Gyroscope |
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700 | (1) |
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Steady or Regular Precession |
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701 | (3) |
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704 | (8) |
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711 | (1) |
APPENDIXES |
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Table 1 Standard SI Prefixes |
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712 | (1) |
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Table 2 Conversion from U.S. Customary Units to SI Units |
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713 | (1) |
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Table 3 Conversion from SI Units to U.S. Customary Units |
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713 | (1) |
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Table 4 Properties of Areas |
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714 | (1) |
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Table 5 Mass Moments of Inertia |
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715 | (1) |
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Table 6 Involute Function |
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716 | (2) |
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Appendix B: Answers to Selected Problems |
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718 | (7) |
Index |
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725 | |