MATLAB Solving Freudensteins Equation for Four-Bar Linkage in Matlab

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SUMMARY

The discussion focuses on solving Freudenstein's equation for a four-bar linkage using MATLAB. The user is attempting to find the angles alpha and beta given the link lengths (a, b, c, d) and the input angle theta, but encounters errors such as "Explicit solution could not be found" and "Invalid mathematical expression." The suggested solution involves using MATLAB's symbolic toolbox, specifically the solve function, to handle the trigonometric equations effectively.

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  • Familiarity with MATLAB programming
  • Understanding of symbolic mathematics in MATLAB
  • Knowledge of trigonometric equations
  • Basic concepts of four-bar linkage mechanisms
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  • Explore MATLAB's symbolic toolbox for advanced equation solving
  • Learn about the solve function in MATLAB
  • Investigate trigonometric identities relevant to four-bar linkages
  • Study examples of four-bar linkage analysis in MATLAB
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Mechanical engineers, robotics enthusiasts, and MATLAB users involved in kinematic analysis and simulation of four-bar linkages.

nradam
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I was making a code for creating four-bar linkage in matlab. So somewhere in between i had to solve the 'freudensteins equation'. I have all the link lengths and two angles of links known, and i have two equations and two variables (the other two angle of links) to find. So here are the equations :

a*sin(alpha)=b*sin(theta)+c*sin(beta)
d+a*cos(alpha)=b*cos(theta)+c*cos(beta)

I know the link lengths a,b,c,d and the input angle theta. I need to find alpha and beta by solving the two equations.

But always some sort of crazy error comes up like :

Warning: Explicit solution could not be found.
> In solve at 81
In Untitled22 at 9

ans =

[ empty sym ]


OR

Invalid mathematical expression

OR

More variable than equations


Please tell me how to solve this. It would be good if you can tell me the code for solving it because i am brainstorming for past 2 hours on this and i am blanked out :(

Thanks in advance
 
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Someone please tell me how to solve these kinda trigonometric equations in matlab! Its urgent and i am stuck for 8-9 hrs now :(
 

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