Advanced Computer-Aided Fixture Design

Preface......Page 6
Table of Contents......Page 9
Introduction......Page 11
References......Page 16
Setup Planning......Page 18
Current State of the Art......Page 27
Closure......Page 30
Reference......Page 31
Manufacturing Errors and Tolerance Stack-up......Page 33
Setup Planning and Tolerance Control......Page 36
Tolerance Normalization......Page 41
2.2.3.2 Location Tolerances......Page 49
2.2.3.3 Runout Tolerances......Page 50
2.2.3.4 Relative Dimensional Tolerances and the  Multiple To......Page 52
SYSTEM DEVELOPMENT......Page 56
2.3.1.2 Tolerance Information Model......Page 61
Figure 2.30.   Main operations in the object-oriented extend......Page 63
Generative Setup Planning Algorithm......Page 64
2.3.2.3 Setup Planning Algorithms......Page 70
Group 1......Page 72
Group 1......Page 74
ADVANCED TOPICS......Page 78
2.4.1.2 Evaluation of Geometric Tolerance Stack-up......Page 82
2.4.1.3 Multi Attribute Utility Analysis......Page 87
References......Page 98
3.1.1.1 A Historical Review......Page 104
3.1.1.2 Fixture Design......Page 106
3.4.3.1 Family Part Modeling......Page 147
3.4.3.3  Fixture Modeling......Page 149
3.4.4.1 Fixture Plan Matching Algorithm......Page 153
Summary......Page 190
3.6.1.1 Problem Description......Page 191
3.6.1.2 Fixture Location Verification......Page 193
FRAMEWORK AND MODELING......Page 223
Constrained DOF of Workpiece. In Asada’s work (1985), it is......Page 230
Locating Performance Index. The LPI measures a fixture abili......Page 231
Initial Position Generation. Theoretically, initial locating......Page 232
Position Optimization. Locating positions are optimized by s......Page 233
FIXTURING TOLERANCE ANALYSIS......Page 239
Tolerance Analysis Overview......Page 240
4.2.2.1 Surface Profile and Line Profile Deviation......Page 242
Machining Surface Accuracy Analysis......Page 243
4.2.4.1 Surface Sensitivity on Locators......Page 245
Implementation......Page 247
FIXTURING STABILITY ANALYSIS......Page 251
Kinetic Fixture Model......Page 252
Derivation of the Fixture Stiffness Matrix......Page 253
4.3.3.1 Friction Cone......Page 259
Minimum Clamping Forces......Page 260
4.3.4.1 CSI Sensitivity Matrix......Page 261
4.3.4.2 Search for Minimal Clamping Forces......Page 262
Clamping Sequence and Stability......Page 263
Implementation......Page 265
Conclusion......Page 267
References......Page 268
DEFORMATION OF FIXTURED WORKPIECE......Page 271
Element Type......Page 273
Fixture Component Model......Page 274
Optimization Analysis......Page 275
Material......Page 283
Load Case......Page 290
Design Set 3......Page 295
Clamp......Page 298
5.2.1  Introduction......Page 303
5.2.2  CAFD with Predictable Fixture Stiffness......Page 305
5.2.3.1  FEA Formulation......Page 308
5.2.3.2 Contact Conditions......Page 314
Sliding Condition. The slide motion will occur when the absolute value of  is more than . The slide motion may occur in both element t and ( directions. That is, if , then......Page 315
5.2.4  Modeling Validation......Page 316
5.2.5  Conclusions......Page 322
5.3.1  Introduction......Page 323
5.3.2  Theoretical Formulation of Normal Contact Stiffness......Page 325
5.3.3  Theoretical Formulation of Tangential Contact Stiffne......Page 330
5.3.4  Experiment Identification of Contact Stiffness......Page 335
5.3.4.1 Identification of Normal Contact Stiffness......Page 336
5.4.1  A Proof of Orthogonality of the Natural Modes......Page 342
5.4.2  Static Measurement of Normal Contact Stiffness......Page 344
FIXTURE MODELING......Page 356
MODELING OF LOCATING DEVIATION......Page 360
LOCATING CHARACTERISTICS ANALYSIS......Page 365
Example 1. In a surface grinding operation, a workpiece is l......Page 373
Example 2. Figure 6.7 shows a knuckle with 3-2-1 locating. T......Page 375
Example 3. In a surface grinding operation, a workpiece is l......Page 378
LOCATOR AND CLAMP CONFIGURATION CHARACTERISTICS......Page 382
Example 4. Consider the planar locating of a polygonal workp......Page 386
Locating errors associated with workpieces are determined by......Page 395
6.5.2.1 Evaluation Index of Locator Configurations......Page 398
6.5.2.4 Fixture Planning Index......Page 402
This section first defined three performance indexes: the lo......Page 416
Index......Page 422