In this Step, we add two kinematic Dyads between the Piggyback Sliders and the machine frame [Base-Part].

It is then possible to drive one of the Parts in each Dyad, and thus drive the Piggyback Sliders, with cams or servomotors. The cams and servomotors are fixed to the machine frame.

Dyads that we can use.

We can use any of the five Dyads. To keep the principle very simple, we will add in this tutorial two R-R-R Dyads.

1.First R-R-R Dyad: Connects the X-Slider to the Machine Frame.
2.Second R-R-R Dyad: Connects the Y-slider to the Machine Frame.

The Dyads in the model.

[Note: Below, we have changed the X and Y Motions. Now, the motions include a constant velocity segment so that the motion follows 'something'. Hence, below, the XY-Path is different to the XY-Path in Step 11.1.]

tog_minus        R-R-R Dyad #1: between the X-Slider and the BasePart

QST13-2-1A

STEP 1: Edit the Base-Part, Add a Horizontal Line2s near to where you want to join the R-R-R Dyad to the Base-Part.
STEP 2: Close the Part-Editor
STEP 3: Edit the X-Slider, Add a Line2s  to specify the location of a Point, which is where you want to connect the Dyad to it.

Now we can add the 1st RRR Dyad1s-red.

STEP 4: Add Two Parts. Connect them together with a Pin-Joint
STEP 5: Add two more Pin-Joints – one with the Base-Part and the other with a Point at one end of the new Line in the X-Slider.

tog_minus        R-R-R Dyad #2: between the Y-Slider and the BasePart

QST13-2-2A

STEP 1: Edit the Base-Part, Add a Horizontal Line 2s near to where you want to join the R-R-R Dyad to the Base-Part. Close the Part-Editor.
STEP 2: Edit the Y-Slider, Add a Line2s where you want to connect the Dyad to it.

We will use the Point at the Trace-Point

We can now add the 2nd RRR Dyad1s-red.

STEP 3: Add Two Parts. Connect them together with a Pin-Joint
STEP 4: Add two more Pin-Joints – one with the Base-Part and the other with the new Line in the Slider.

tog_minus        OPTIONAL: R-R-R Dyad #3, with a Bell-Crank

QST13-2-3A

Question: Why a 3rd RRR Dyad?

Answer: To drive the Piggy-Back Sliders from a position that is nearer to the drive of the

Part 1st Dyad. Note the 'Bell Crank'2s.

STEP 1: Edit the Base-Part, Add a Horizontal Line,1s-red near to where you want to 'ground' the R-R-R Dyad. Close the Part-Editor
STEP 2: Edit the Grounded Part of the second Dyad so it is used as a Bell-Crank2s

We can now add the 3rd RRR Dyad3s

STEP 3: Add Two Parts, Connect them with a Pin-Joint
STEP 4: Add two more Pin-Joints – one to the Base-Part and the other to the Y-Slider.

Now, the two Parts4s that will drive the mechanism are near to each other.

This makes it more convenient for cams and servomotors.

 

Please view the Video.

tog_minus        Calculate the Degrees-of-Freedom and Mobility of the Piggyback Sliders with new Dyads

P = Parts; J = Joints, F = 3*(9-1) - 2*11 = 2

P = Parts; J = Joints, F = 3*(9-1) - 2*11 = 2

DEGREES-OF-FREEDOM

The new design has:

6 new Parts (9 in total), and
9 new Joints (11 in total).

Gruebler Equation:

F = 3(P–1) – 2J  : P = # Parts ; J = # Joints

F = 3 * (9–1) – 2 * 11

F = 24 – 22 = 2

Degrees-of-Freedom = 2

 

MOBILITY

Mobility = Degrees-of-Freedom – Number of Motion-Dimensions.

Mobility = 2 – 2 = 0

How do we 'Drive' the design so that we follow the 2D Planar Motion?

We can 'drive' the Dyad Parts connected to the BasePart – Parts 7P and 8P in the image above.

We can use:

Servomotor Drives. We would need to save the motions of the driven Parts to a text file, and format it for the servo controller.
Cams and Cam-Followers: Add the Cam-Follower 'Rollers' and Camshafts. See Tutorial 5.

tog_minus        Add 2D Cams to Drive the Parts

The video clip to the left shows the Piggyback Sliders driven by two 2D-Cams

tog_minus        A slightly different configuration for the 2D Cams

This is a more convenient configuration.

Now two cams mounted to one cam-shaft.

Tutorial and Reference Help Files for MechDesigner and MotionDesigner 13.2 + © Machine, Mechanism, Motion and Cam Design Software by PSMotion Ltd