Kinematics-Tree Structure & Symbols

Icon-KinChainHead Symbol at top of 'Kinematics-Tree'

hmtoggle_plus1        TOP-LEVEL

'Unsolved' and 'Solved' Mechanisms

Symbol

Kinematic-Chain is:

Mobility

Means

PE-Kinematic-Tree-Solved-UnSolved

Icon-NotSolved-KinChain

Unsolved Mechs

Mobility is not Fully-Defined.

M > 0

The kinematic-chain is not fully defined,

You cannot get kinematic-data from Points in these kinematic-chains.

 

Icon-Solved-KinChain

Solved Mech

Mobility is Fully-Defined.

M = 0

See: Mobility is Zero

This is your goal.

The kinematic-chain is a 'kinematically-defined chain'.

 

hmtoggle_plus1        SUB-ASSEMBLY LEVEL

Kinematic Sub-Assemblies

Kinematic-Sub-Assemblies are:

Motion-Parts
Geared-Rockers
Dyads
Pulley-Rockers
Rack-Pinions

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:

Icon-KT-SolvedAlways  - solves for a complete machine cycle.
Icon-KT-SolvedBreaks  - is solved now, but it does not solve [it breaks] for at least one period in the machine cycle.
Icon-KT-SolvedbutBroken  - does not solve now, at this machine angle.

PE-KinematicsTree-MechsDyads

Example.

Kinematic-Chain with four sub-assemblies:

Rocker,
Geared-Rocker,
R-R-R Dyad, and
R-R-R Dyad[2].

KT-Solved6KT-Solved5

 

Icon-KT-SolvedAlways

 

Example 1

The Symbol is Icon-KT-SolvedAlways :
The Dyad is solved for a machine cycle [0-360 of the Master Machine Angle].

KT-Solved7KT-Solved8

 

Icon-KT-SolvedBreaks

 

Example 2 : A Dyad that 'Breaks'...

The Symbol is Icon-KT-SolvedBreaks :
The Dyad is solved now, but it does not solve for all positions of the machine cycle [0-360 of the Master Machine Angle].

 

KT-Solved9KT-Solved10

 

Icon-KT-SolvedbutBroken

Example 2 : - The Dyad later in the machine cycle

The Symbol is Icon-KT-SolvedbutBroken :
The Dyad is not solved 'now' and at this position of the machine cycle [0-360 of the Master Machine Angle].

hmtoggle_plus1        ELEMENT LEVEL

You can explore the basic elements of kinematic-chains.

At this level you can see:

Parts
Joints
Motion-Dimensions
Gear-Pairs
Pulley-Joints

The symbol, Icon-KT-SolvedAlways, also shows next to the elements in each sub-assembly.

KT-Solved2

 

Icon-KT-SolvedAlways

Example 1

The symbol is Icon-KT-SolvedAlways to show the Dyad is solved for a complete machine cycle.
The symbol Icon-KT-SolvedAlways is next to each element in the dyad to show they are solved for complete machine cycle.

KT-Solved13KT-Solved14

 

Icon-KT-SolvedBreaks

Example 2

The symbol is Icon-KT-SolvedBreaks  to show the Dyad does not solve at some instant in the machine cycle.
The symbol Icon-KT-SolvedBreaks also shows next to the elements in the dyad that are not solved at some instant in the machine cycle.

KT-Solved12KT-Solved11

 

Icon-KT-SolvedbutBroken

Example 2

The symbol is Icon-KT-SolvedbutBroken : to show the RRR Dyad is not solved at this instant in the machine cycle.
The symbol Icon-KT-SolvedbutBroken also shows next to the elements in the dyad that are not solved at this instant in the machine cycle.

A typical Kinematics-Tree

PE-KT2

This Kinematics-Tree has three kinematic-chains:

1.Three Kinematic Defined Chains, identified by the Icon-Solved-KinChain icon.
a.Two Rockers
b.A Rocker with an RRR Dyad

A Rocker is expanded to show three elements:

1.Pin-Joint
2.Part4
3.Mot-Dim Lin: Slider Motion-Dimension

The RRR Dyads [broken] is expanded to show it is assembled from:

1.Three Pin-Joints
2.Two Parts

Dyad and Joint Symbols:

Icon-KT-SolvedAlways This symbol is alongside a Dyad and Joint when it does not break at any instant in the machine cycle.

Icon-KT-SolvedBreaks This symbol is alongside a Dyad and Joint if a Joint brakes at some instant in the machine cycle.

Icon-KT-SolvedbutBroken This symbol is alongside a Dyad and Joint while it is broken, or at this instant, in the machine cycle.

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