Kinematics of machines: an elementary text-book

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J. Wiley & sons, 1903 - Technology & Engineering - 397 pages
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Contents

Classification of Mechanisms
25
CHAPTER II
27
Uniform Velocity
28
Variable Velocity
29
Uniform Acceleration
31
Acceleration in General
33
Composition of Velocities and Accelerations
35
Resultant Acceleration
37
Diagrams of Displacement and Velocity
38
Diagrams of Acceleration
44
Diagrams on a Displacement Base
49
Polar Diagrams of Displacement Velocity and Acceleration
53
Diagrams for Simple Harmonic Motion
58
Relative Motion of Two Bodies Each having Simple Harmonic Motion
63
Composition of Simple Harmonic Motion not along Same Line
67
Plane Mechanisms Containing only Turning Pairs SBC FAGB 26 Quadric Crankchains
70
Virtual Centres and Centrodes
71
Angular Velocities
73
Inversions of the Quadric Crankchain
80
Change Points and Dead Points
81
Special Forms of Quadric Crankchain
83
SEC PAGB 84 Springs
84
Straightline Motions
87
Accurate Straightline Motions
90
CHAPTER IV
97
Velocity and Acceleration of Crosshead in Directacting Engine
99
Graphic Methods for Crosshead Velocity and Acceleration
103
Angular Velocity and Acceleration of Connectingrod
110
Angular Velocity of Cylinder in Oscillating Engine
112
Whitworth Quickreturn Motion
118
Pendulum Pump
120
Crossed Slidercrank Chains
122
Double Slidercrank Chain
123
Elliptic Trammels
126
Oldhams Coupling
127
Crossedslide Chains
131
Straightline Motions Derived from Slidercrank Chains
136
Chain Containing Sliding Pairs Only
138
CHAPTER V
141
Method by Using Pointpaths
143
Polar Diagrams of Velocities for Simple Plane Mechanisms
146
Indirect Method in More Complex Cases
153
Polar Acceleration Diagrams for Plane Mechanisms
155
Example of Polar Velocity and Acceleration Diagrams
160

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Page 347 - It has met with the same fate. It is to the physicist Ampere that we owe an important advance. He saw clearly that a mechanism should be studied as " an instrument by the help of which the direction and velocity of a given motion can be altered...
Page 216 - ... a maximum at half lift, and then from this point decelerates at the same rate. To determine the cam form, the lift period in degrees is divided into an equal number of parts. A radial line is drawn through each division and the position of the roller centre marked on each of these radial lines. The distance of the centre of the roller from the centre of the base circle B FIG.
Page 92 - CJA is a right angle. In the same way it may be proved that for any other position of C the line drawn from C to J is at right angles to AJ.
Page 346 - ... naturally arise upon considering such engines ; — for example, are the means by which the results are obtained the best that might have been employed ? or what are the various methods that might have been substituted for them? Yet there appears no reason why the construction of a machine for a given purpose should not, like any usual problem, be so reduced to the dominion of the mathematician, as to enable him to obtain, by direct as and certain methods, all the forms and arrangements that...
Page 194 - FIG. 388. transmitted by the frictional resistance to slipping. With noncircular plates, as shown in Fig. 387, the motion is transmitted by direct action. Again, taking the general case, if the profiles of the plates are such that the common normal at the point of contact always passes through the same point on the line of centres, the angular-velocity ratio is constant. Thus, in Fig. 388, L and M represent the profiles of the two plates or teeth, and DK the common normal at their point of contact....

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