Symbols

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Symbols

Kinematics-Tree Structure & Symbols

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

tog_minus        TOP-LEVEL

'Unsolved' and 'Solved' Mechanisms

MD-PE-Kinematic-Tree-Solved-UnSolved

Symbol

Kinematic-Chain is:

Mobility is:

Means

MD-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.

MD-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'.

 
tog_minusSUB-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 colors. The color of the symbol may change during the machine-cycle.

Kinematic-Chain Symbols:

MD-Icon-KT-SolvedAlways  : solves for the complete machine-cycle.

MD-Icon-KT-SolvedBreaks  : is solved now, but not for the complete machine-cycle.

MD-Icon-KT-SolvedbutBroken  : is not solved now, at this machine-angle.
MD-PE-KinematicsTree-MechsDyads

Example.

Kinematic-Chain with four sub-assemblies:

•Rocker,

•Geared-Rocker,

•R-R-R Dyad, and

•R-R-R Dyad(2).
MD-KT-Solved-A
MD-KT-Solved-B

Example 1 :

A Dyad that never Breaks...

The Symbol is MD-Icon-KT-SolvedAlways :

The Dyad is solved for a machine-cycle (0-360 of the Master Machine Angle).
MD-KT-Solved-C
MD-KT-Solved-D

Example 2 :

A Dyad that Breaks...

The Symbol is MD-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).
MD-KT-Solved-E
MD-KT-Solved-F

Example 2 : -

The Dyad is broken

The Symbol is MD-Icon-KT-SolvedbutBroken :

The Dyad is not solved at this position of the machine-cycle (0-360 of the Master Machine Angle).

tog_minus        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, MD-Icon-KT-SolvedAlways, also shows next to the elements in each sub-assembly.
MD-SolvedElements in RRRdyad

Example 1 : 5-Elements in a Dyad

A Dyad that never Breaks...

The symbol is MD-Icon-KT-SolvedAlways to show the Dyad is solved for a machine-cycle.

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

Example 2 :  5-Elements in a Dyad

A Dyad that never Breaks...

The symbol is MD-Icon-KT-SolvedBreaks to show the dyad does not solve for a period in the machine-cycle.

The symbol MD-Icon-KT-SolvedBreaks also shows next to the elements in the dyad that do not solve for a period in the machine-cycle.
MD-NotSolvedNOW2-RRRdyad

Example 2 :  5-Elements in a Dyad

A Dyad that never Breaks...

The symbol is MD-Icon-KT-SolvedbutBroken to show the joints in the Dyad do not solve at this instant in the machine-cycle.

The symbol MD-Icon-KT-SolvedbutBroken also shows next to the elements in the dyad that do not solve at this instant in the machine-cycle.

A typical Kinematics-Tree

MD-KT-3KinChains

This Kinematics-Tree has three kinematic-chains:

Four(4) Kinematic Defined Chains, identified by the MD-Icon-Solved-KinChain icon.

A Rocker is expanded to show three elements:

•Pin-Joint, Part, Mot-Dim Rocker

The RRR Dyads (broken) is expanded to show it is assembled from:

•Three(3) Pin-Joints , two(2) Parts

Dyad and Joint Symbols:

MD-Icon-KT-SolvedAlways This symbol is to the left of a Dyad and Joint when it solves for the machine-cycle.

MD-Icon-KT-SolvedBreaks This symbol is to the left of a Dyad and Joint if a Joint does not solve for period of the machine-cycle.

MD-Icon-KT-SolvedbutBroken This symbol is to the left of a Dyad and Joint if a Joint does not solve at this instant of the machine-cycle.