# Linkage Mechanism (Mechanical Engineering)

Version 1.0.0.0 (14.1 KB) by
The complete displacement diagram for all possible configuration of the linkages ...
Updated 12 Dec 2005

LINKAGE MECHANISM (MECHANICAL ENGINEERING)

The command
xxx = mnism(r1,r3,l,r4,r5)
example: xxx = mnism(3,5,6,6,8) -----------(1)
gives two figures. The first shows 7 displacement curves and the second gives description. File
f4bar.fig -----------(2)
gives details.
r1,r2,r3,l - decide the mobility. The computed r2 value is given on the title line of the diagram. For given link lengths, point E, is related to the points B & C. Point B supplies two variables and these are controled by ?a? ? the crank angle. ?a? is the variable . This is included in the file
Tang.m ------------(3)
Curve C is processed algebraically -(Affaine variety & Groebner basis) and the results are in the files
X3fun.m ------------(4)
X4fun.m ------------(5)
A similar fate occurs for the point E. The files
X5fun.m ------------(6)
X6fun.m ------------(7)
do the processing.
Quadratic functions do the descriptions. Thiey are procesed in the file
Qfun.m ------------(8)
Four curves satisfy point E ? locus. Intermixing of the coodinate points is resolve by the file
Organize.m -----------(9)

The animation file is
animism.m --------------------------(10)
An example xxx = animism(3,5,6,7,8,1,10)
6th argument selects a particular configuration among {1,2,3,4}, and the 7th is the number of frames. The first 5 arguments are similar to the mnism.m.

The dynamic analysis is included in the file
Dymism.m -------------------------------(11)
An example [xxx1, xxx2] = dymism(3,5,6,7,8,1,1500,60)
6th is argument selects the particular configuration. 7th argument is the rpm of the crank. 8th argument is a particular angular position of the crank
xxx1 is (361X 13) matrix and it gives all details for any crank location.
It is also stored in link_age.dat file.
Xxx2 is the same as xxx1 but it is for particular crank position.
velo.m --------(12)
cvelo.m --------(13)
normalize.m ---(14)
are subroutines for (11)

zzz = allcurve(3,5,6,7,8,choice,a,n) gives atlas of curves , a is an nX2 matrix of morphism between a rigt triangle and the coupler plate.
Subroutines files are
Allcurve.m ------(15)
Acurve.m --------(16)
Map3t.m---------(17)

### Cite As

Mathan Chandran (2024). Linkage Mechanism (Mechanical Engineering) (https://www.mathworks.com/matlabcentral/fileexchange/8690-linkage-mechanism-mechanical-engineering), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R12.1
Compatible with any release
##### Platform Compatibility
Windows macOS Linux
##### Categories
Find more on Splines in Help Center and MATLAB Answers

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!