Mathematics Meets TechnologyCambridge University Press, 26 ապր, 1991 թ. - 199 էջ A resource book which looks at the design of mechanisms, for example gears and linkages, through the eyes of a mathematician. There are a wide variety of examples including car steering, anglepoise lamps, bicycles, cine cameras, folding push chairs and the design of robots. Readers are encouraged to make models throughout and to look for further examples in everyday life. Suitable for GCSE, A level, and mathematics/technology/engineering courses in Further Education. |
Բովանդակություն
0 The background to a study of mechanisms | 1 |
Transmitting rotary motion using belts pulleys sprockets and chains | 3 |
An analysis of gear trains | 18 |
The variablebased triangle | 40 |
Applications of the parallelogram linkage | 57 |
Applications of the isosceles trapezium linkage | 70 |
Applications and analysis of the general 4bar linkage | 82 |
Winding mechanisms | 95 |
Combining rotary and linear motion | 120 |
Cams and ratchets | 131 |
Levers and hydraulic rams | 144 |
An analysis of robot designs | 159 |
Solutions | 170 |
| 198 | |
Appendix | 199 |
| 200 | |
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Common terms and phrases
4-bar linkage arcs beam engine belt bicycle bolt brake centre chain wheel circle clockwise cm² complete revolutions crane cross-sectional area designed diameter direction distance moved door drill driver follower driving wheel engine epicyclic gear example figure below shows Fischertechnik fixed point fluid flywheel force free wheel gear train gear wheels give gripper horizontal hydraulic ram isosceles trapezium jack kg wt km/h Lego Technic length lever lifting locus master cylinder Meccano mechanism mesh metres motion movement number of teeth oscillate paper fasteners parallelogram linkage path pawl pedal penny-farthing pinion pivot planet gear position produce pulled pulley pulley system pump pushed rack radius ratchet ratio Reuleaux triangle robot rocker roller rolling rotary rotation screw sewing machine shaft shown sliding sprockets spur gear straight line t(AB t(AD top gear trace transmission factor trapezium linkage variable-based triangle velocity Watt's linkage winch winding drum