Lecture Notes in Physics: Monographs 22 ......Page 1
Chaotic and Stochastic Behaviour in Automatic Production Lines ......Page 3
Contents ......Page 5
1 Introduction ......Page 7
2 Vibratory Feeding ......Page 11
2.1 The Basic Dynamical Model ......Page 12
2.2 Solution of the Impact Equations ......Page 16
2.3 Approximate Mapping for Weakly Dissipative Cases ......Page 20
2.4 Plastic Modes ......Page 23
2.5 Transport Rates ......Page 28
2.6 Conclusions and Summary ......Page 31
3.1 The General Problem of Selecting Parts in a Correct Orientation ......Page 33
3.2 The Device Selection and Ordering Problem. General Situation ......Page 34
3.3 Part Orienting System for Parts with Only Two Possible Orientations ......Page 37
3.4 Summary and Perspectives ......Page 43
4.1 High Precision Automatic Insertion ......Page 45
4.2 Brownian and Related Motions in the Plane ......Page 48
4.3 Discussion of the Analytical Results in the Robotic Context ......Page 54
4.4 Exploration with Coloured Noise ......Page 56
4.5 Experimental Results ......Page 59
4.6 Conclusions ......Page 62
5.2 The General Model ......Page 63
5.3 The Boundary-Free Model and Its Solution ......Page 65
5.4 Examples ......Page 69
5.5 Discussion of the Transient Analysis of the Boundary-Free Model ......Page 72
5.6 Case Study from a Cigarette Production Unit ......Page 74
5.7 Permanent Regimes ......Page 75
5.8 Aggregation Method ......Page 78
5.9 Summary and Conclusions ......Page 82
6 General Conclusions ......Page 85
7 References ......Page 87