Page 429 - Marks Calculation for Machine Design
P. 429

P2: Sanjay
        P1: Shibu/Rakesh
                          January 4, 2005
                                      15:34
        Brown.cls
                 Brown˙C10
                                             MACHINE MOTION
                                             Arm
                                                                       2
                                              2                       Arm         411
                                      Crank                   Crank
                                        1                      1
                                Input       C           Input        C
                                  A           3           A           3
                                          Sliding block
                                                                    Collar
                                         Output                  Output
                                   B                      B
                                     (a)                     (b)
                                FIGURE 10.2  Quick-return linkages.


                    each complete rotation of the crank. Quick-return linkages are commonly used in automated
                    machining operations, where the slower motion occurs during the actual material removal
                    step and the faster motion returns the cutting tool to its initial position for the next pass.
                      The third classic design is the slider-crank linkge, shown in Fig. 10.3, where (1) is called
                    the crank, (2) is called the connecting rod, and (3) is called the slider; hence the name
                    slider-crank.


                                         B           Rod        Slider
                                Crank                 2          3
                                 1
                              A                                         C


                            FIGURE 10.3  Slider-crank linkage.

                      Unlike the quick-return linkage where the crank always drives the arm, the slider-crank
                    linkage can have either the crank driving the slider or the slider driving the crank. For
                    example, in a reciprocating air compressor, a motor drives the crank that in turn drives the
                    piston to compress the air. In contrast, the pistons in an internal combustion engine drive
                    the crank, specifically the crankshaft, which in turn can drive the wheels of a car through the
                    transmission and differential. This is probably one of the most versatile linkages available to
                    the designer.
                      Note that points A and C in Fig. 10.3 lie along the same horizontal axis. However, the
                    surface on which the slider rides can be located such that point C is either above or below
                    point A. Also, the orientation of the slider-crank linkage in Fig. 10.3 is horizontal. This
                    linkage can easily be oriented vertically, or at any angle in between.
                      Before beginning the discussion on the detailed motion of the slider-crank linkage, which
                    is based on the relative lengths of the crank (1) and the rod (2), the relative motion relation-
                    ships between mechanical elements connected to a linkage will be presented.
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