<< Click to Display Table of Contents >> Navigation: Getting Started Tutorials - MechDesigner > Tutorial 2A: Four-bar Kinematic-Chains > Step 2.4: R-R-P Dyad Closures: Valid, Invalid, or Broken |
You will edit the Crank-Slider to be an Offset Crank-Slider. You will explore the Kinematics-Tree and the elements in the : •Rocker (Motion-Part) •R-R-P dyad You will use the Kinematic elements toolbar > Change Dyad Closure command to see: •4 × Closures with the R-R-P dyad You will understand why and when: •Dyad-closures can solve •Dyad-closures cannot solve |
Term : |
Definition |
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Machine-Cycle : |
The MMA changes by 360. |
Motion-Part : |
A Part whose position we control with a Motion-Dimension FB. |
Rocker : |
A Motion-Part whose angle we control with a Motion-Dimension FB. |
Crank : |
A Rocker whose angle changes with a uniform angular velocity. |
Rotating-Part : |
A Part that you join with a Pin-Joint to a different Part. |
Sliding-Part : |
A Part that you join with a Slide-Joint to a different Part. |
Dyad : |
A dyad is a kinematic construction of: •2 Parts, and •3 Joints |
Dyad Closure : |
A different way to assemble the two Parts in a dyad. |
Crank-Slider Mechanism: |
A kinematic-chain that has continuously-rotating Rocker (Crank) and a dyad that has two Pin-Joints and one Slide-Joint. The output is the sliding-Part that reciprocates back and forth. |
Offset Crank-Slider Mechanism : |
A Crank-Slider Mechanism in which the Pin-Joint (x-R-x) of the R-R-P dyad is offset from the Slide-Joint (x-x-P) |
Unrestricted Dyad Closure : |
The dyad can solve throughout the machine-cycle. |
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Restricted Dyad Closure : |
The dyad cannot solve for a period within a machine-cycle. |
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Broken dyad : |
The dyad cannot solve now at this machine-angle. |
There are two videos. They show the dyad-closures when they are broken and not broken As you look at these videos, identify the Motion-Part. The Motion-Part ALWAYS moves with the motion-values that are at the input-connector of the Motion-Dimension FB. The videos show: Unrestricted and Restricted Dyad Closure and Invalid Closures of the R-R-P dyad.
Video 1: CRANK + R-R-P dyad - 4 VALID ClosuresR-R-P dyad : 4 Valid Closures Video 2: CRANK + R-R-P dyad - 2 VALID & 2 INVALID ClosuresR-R-R dyad - 2 Valid Closures and 2 Invalid Closures
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Expand the Kinematics-Tree
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STEP 1: Edit the sliding-Part
The sliding-Part opens in the Part-Editor |
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STEP 2: Add Geometry - a short Line
STEP 3: Add Constraints
You are now in the Part-Editor. STEP 4: Delete the Pin-Joint
The two Parts are again not kinematically-defined, or not solved. If you cannot click the Pin-Joint only, then, as described in detail in Step 2.3: •use the Selection-Window to delete the Pin-Joint or •delete the Pin-Joint from the Assembly-Tree |
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Click the Pin-Joint ONLY |
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STEP 5: Move the sliding-Part; Add the Pin-Joint again.
The R-R-P dyad is again complete. The three Joints in the dyad are: Revolute - Pin-Joint Revolute - Pin-Joint Prismatic - Slide-Joint Now we use the term Offset Crank-Slider. Is this the dyad-closure you want?
Save your Mechanism : CTRL+S |
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Four Valid Closures |
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In the image you can see: 1 x Arc with a center at the Pin-Joint (R-x-x) 2 x Lines that are parallel to the Slide-Joint (x-x-P) In the image you can see that the Arc and Lines intersect in four places. 4 x indicate where the Arc and Lines intersect. These are the positions of the Pin-Joint in the four dyad-closures. |
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Closure 1 Closure 2 Closure 3 Closure 4 |
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Two Valid Closures and two Invalid Closures |
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In the image you can see 1 x Arc with a center at the Pin-Joint (R-x-x) 2 x Lines that are parallel to the Slide-Joint (x-x-P) In the image you can see that the Arc intersects one of the Lines. 2 x indicate where the Arc and Line intersects. These are the positions of the Pin-Joint in the two VALID dyad-closures.
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Dyad Closure 1- RRP Dyad Closure 2 - RRP Dyad Closure 4 - RRP Dyad Closure 3 - RRP |
STEP 1: Start the Change Dyad Closure command
The Command-Manager starts. It has one selection-box. You must select a Part from the dyad STEP 2: Click a Part-Outline
STEP 3: Complete the Command a Part-Outline
STEP 4: Repeat the Commands
The images show the four different closures of the Offset R-R-P Closures. |