Hi Markiyan,

I'm still trying to understand the implications of your solution. Does this mean that the system is solvable? I'm afraid it's got pretty late where I am so I can't work through your latest post right now, time to get some sleep...

Thanks for your efforts,

Ad

Hi Markiyan,

I'm still trying to understand the implications of your solution. Does this mean that the system is solvable? I'm afraid it's got pretty late where I am so I can't work through your latest post right now, time to get some sleep...

Thanks for your efforts,

Ad

Hi Markiyan,

Thanks for your continued help.Previously I just created a fairly low resolution plot and saw that there was a convergence in approximately the right area. I just tried to generate a numerical solution by setting up a search function with a resolution of 4d.p.

For the following parameters:

I get q3=-3.577 and q4 = 32.2953

Interestingly this gives an (norm) error between desired and actual W of 0.0017. Though this sort of error would be perfectly acceptable in my application I can see why this non-zero solution would cause the solution to be unsolvable. Quite enlightening.

Someone also suggested that Maple may not be providing a solution as I have not constrained q3 and q4 to be between -360 to +360 degrees. I've tried to do this (using solve() assuming q3<2pi etc.) but I still get the same answer as before.

Thanks,

Ad

W = [Wx,Wy,Wz] = [-34.0053 37.9050 -524.3520]

q1 = -0.1870;q2 = 0.0584;

Hi Markiyan,

Thanks for your continued help.Previously I just created a fairly low resolution plot and saw that there was a convergence in approximately the right area. I just tried to generate a numerical solution by setting up a search function with a resolution of 4d.p.

For the following parameters:

I get q3=-3.577 and q4 = 32.2953

Interestingly this gives an (norm) error between desired and actual W of 0.0017. Though this sort of error would be perfectly acceptable in my application I can see why this non-zero solution would cause the solution to be unsolvable. Quite enlightening.

Someone also suggested that Maple may not be providing a solution as I have not constrained q3 and q4 to be between -360 to +360 degrees. I've tried to do this (using solve() assuming q3<2pi etc.) but I still get the same answer as before.

Thanks,

Ad

W = [Wx,Wy,Wz] = [-34.0053 37.9050 -524.3520]

q1 = -0.1870;q2 = 0.0584;

Thanks for the explanation John. I used tried map(allvalues,sol) to look at the roots and the answer wasn't pretty!

Thanks for the explanation John. I used tried map(allvalues,sol) to look at the roots and the answer wasn't pretty!

Hi hirnyk,

Thanks for trying to solve this. I think I understand what you have done, what does '**' mean in eq_2?

Forgive me if I've misunderstood your method but I am only trying to solve for q3 and q4. So {s1,c1,s2,c2} are already known and the system will be 8 equations with 4 unknowns. Or have I missed something? I will try this in a moment and see what happens.

By saying the system does not have a solution do you mean an algebraic solution? I did a quick numerical search of the equations (varying only q3 and q4) and the results always converge to a single point. So a unique numeric solution exists.

Thanks for your help,

Ad

Hi hirnyk,

Thanks for trying to solve this. I think I understand what you have done, what does '**' mean in eq_2?

Forgive me if I've misunderstood your method but I am only trying to solve for q3 and q4. So {s1,c1,s2,c2} are already known and the system will be 8 equations with 4 unknowns. Or have I missed something? I will try this in a moment and see what happens.

By saying the system does not have a solution do you mean an algebraic solution? I did a quick numerical search of the equations (varying only q3 and q4) and the results always converge to a single point. So a unique numeric solution exists.

Thanks for your help,

Ad