Kinematics-Tree Structure & Symbols
Symbol at top of 'Kinematics-Tree'
 TOP-LEVEL
'Unsolved' and 'Solved' Mechanisms
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Symbol
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Kinematic-Chain is:
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Mobility
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Means
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Unsolved Mechs
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Mobility is not Fully-Defined.
M > 0
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The kinematic-chain is not fully defined,
You cannot get kinematic-data from Points in these kinematic-chains.
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Solved Mech
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Mobility is Fully-Defined.
M = 0
See:
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This is your goal.
The kinematic-chain is a 'kinematically-defined chain'.
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SUB-ASSEMBLY LEVEL
Kinematic Sub-Assemblies
Kinematic-Sub-Assemblies are:
Solved and Unsolved Mechanisms [Kinematic-Trees].
The sub-assemblies have one symbol in three colours. The colour of the symbol may change as you cycle the machine.
Summary of Symbols:
| • |  - solves for a complete machine cycle. |
| • |  - is solved now, but it does not solve [it breaks] for at least one period in the machine cycle. |
| • |  - does not solve now, at this machine angle. |
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Example.
Kinematic-Chain with four sub-assemblies:
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Example 1
| • | The Symbol is : |
| • | The Dyad is solved for a machine cycle [0-360 of the Master Machine Angle]. |
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Example 2 : A Dyad that 'Breaks'...
| • | The Symbol is : |
| • | The Dyad is solved now, but it does not solve for all positions of the machine cycle [0-360 of the Master Machine Angle]. |
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Example 2 : - The Dyad later in the machine cycle
| • | The Symbol is : |
| • | The Dyad is not solved 'now' and at this position of the machine cycle [0-360 of the Master Machine Angle]. |
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ELEMENT LEVEL
You can explore the basic elements of kinematic-chains.
At this level you can see:
The symbol, , also shows next to the elements in each sub-assembly.
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Example 1
| • | The symbol is to show the Dyad is solved for a complete machine cycle. |
| • | The symbol is next to each element in the dyad to show they are solved for complete machine cycle. |
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Example 2
| • | The symbol is to show the Dyad does not solve at some instant in the machine cycle. |
| • | The symbol also shows next to the elements in the dyad that are not solved at some instant in the machine cycle. |
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Example 2
| • | The symbol is : to show the RRR Dyad is not solved at this instant in the machine cycle. |
| • | The symbol also shows next to the elements in the dyad that are not solved at this instant in the machine cycle. |
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A typical Kinematics-Tree
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This Kinematics-Tree has three kinematic-chains:
| 1. | Three , identified by the icon. |
| b. | A Rocker with an RRR Dyad |
A Rocker is expanded to show three elements:
| 3. | Mot-Dim Lin: Slider Motion-Dimension |
The RRR Dyads [broken] is expanded to show it is assembled from:
Dyad and Joint Symbols:
This symbol is alongside a Dyad and Joint when it does not break at any instant in the machine cycle.
This symbol is alongside a Dyad and Joint if a Joint brakes at some instant in the machine cycle.
This symbol is alongside a Dyad and Joint while it is broken, or at this instant, in the machine cycle.
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