In addition, you probably have a typo in this:

P1.set_ang_vel(A, omega1 * A.z)
P2.set_ang_vel(P1, omega*1* * P1.z)

It should probably be

P2.set_ang_vel(P1, omega*2* * P1.z)

With this change, it would calculate some rhs, like:

rhs = kanes.rhs()

Peter


On Mon 4. Apr 2022 at 15:25 Peter Stahlecker <[email protected]>
wrote:

> Your loads were incorrect:
>
> Try this:
>
> loads = [ (p1, F_grav_1), (p2, F_grav_2) ]
>
> When I changed this in your program, it worked, or at least there was no
> error.
>
> You have to give the points where the forces ‚attack‘, as tuples.
> Otherwise, hwo would sympy.physics.mechanics ‚know‘, where the forces act?
>
> Peter
>
> On Mon 4. Apr 2022 at 14:57 n doherty <[email protected]> wrote:
>
>> Thanks very much Peter.
>>
>> I hope I'm not making an error but would welcome you finding one if I
>> am.  I'm getting the same error in tutorial examples so suspect it's an
>> error with a new version of sympy or python, or something specific to my
>> setup.  I'm using python 3.8 and sympy 1.8.  I get the same error on 2
>> different machines although the same versions of sympy/python.
>>
>> Code is below.  It's when executing the final line that the error comes
>> up - everything else is fine.  Thanks again.
>> _____________________________________
>> import sympy as sm
>> import sympy.physics.mechanics as me
>>
>> ## REFERENCE FRAMES
>>
>> A = me.ReferenceFrame("A")      # earth reference frame
>> P1 = me.ReferenceFrame("P1")    # 1st pendulum arm reference frame
>> P2 = me.ReferenceFrame("P2")    # 2nd pendulum arm reference frame
>>
>> ## ORIENTATION
>>
>> theta1, theta2 = me.dynamicsymbols("theta1 theta2")   # generalised
>> coordinates
>>
>> P1.orient(A, "Axis", (theta1, A.z))
>> P2.orient(P1, "Axis", (theta2, P1.z))
>>
>> ## KINEMATICS
>> ### Points and Locations
>>
>> m1, m2, L1, L2 = sm.symbols("m1 m2 L1 L2")
>>
>> O = me.Point("O")
>> p1 = me.Point("p1")
>> p2 = me.Point("p2")
>>
>> p1.set_pos(O, L1 * P1.x)
>> p2.set_pos(p1, L2 * P2.x)
>>
>>
>> ### Kinematical Differential Equations
>>
>> omega1, omega2 = me.dynamicsymbols("omega1 omega2")
>>
>> kinematical_differential_equations = [omega1 - theta1.diff(),
>>                                       omega2 - theta2.diff()]
>>
>>
>> ### Angular Velocities
>>
>> P1.set_ang_vel(A, omega1 * A.z)
>> P2.set_ang_vel(P1, omega1 * P1.z)
>>
>>
>>
>> ### Linear Velocities
>>
>> O.set_vel(A, 0)     # point O has zero velocity
>>
>> p1.v2pt_theory(O, A, P1)
>> p2.v2pt_theory(p1, A, P2)
>>
>>
>> ## KINETICS
>>
>> g = sm.symbols("g")
>>
>> F_grav_1 = m1 * g * A.x
>> F_grav_2 = m2 * g * A.x
>>
>> B1 = me.Particle("B1", p1, m1)
>> B2 = me.Particle("B2", p2, m2)
>>
>>
>> ## EQUATIONS OF MOTION
>>
>> coordinates = [theta1, theta2]
>> speeds = [omega1, omega2]
>> loads = [F_grav_1, F_grav_2]
>> bodies = [B1, B2]
>>
>>
>> ### Kane's Method
>>
>> kane = me.KanesMethod(A, coordinates, speeds,
>> kinematical_differential_equations)
>>
>> fr, frstar = kane.kanes_equations(loads, bodies)
>>
>> _________________________________________
>>
>> On Monday, 4 April 2022 at 12:12:29 UTC+1 [email protected] wrote:
>>
>>> I have done all sorts of pendulae, single, double, triple.....
>>> If you could send your code, maybe I could find a mistake.
>>> Peter
>>>
>>> On Mon 4. Apr 2022 at 13:00, n doherty <[email protected]> wrote:
>>>
>>>> Hi,
>>>> Looking for some help if possible.  I was recently trying to get the
>>>> equations of motion of a double pendulum via SymPy.  When I used
>>>> "kanes_equations" to obtain Fr and Fr* I got the above TypeError message.
>>>>
>>>> I have the loads and the bodies contained in lists which are input into
>>>> the kanes_equation method, which I think is causing the problem here?  If I
>>>> apply the method for a single pendulum with a single body (not contained in
>>>> a list or array) kanes_equations works fine.
>>>>
>>>> I suspect it's a newer version of sympy or python which is causing the
>>>> issue.  If I try to perform the same method on the human standing tutorial
>>>> I get the same error but for the bodies being RigidBody instead of
>>>> Particle.  I've run this tutorial and numerous other examples in the past
>>>> without this error occurring.
>>>>
>>>> Is there a known workaround to this issue?
>>>>
>>>> Thanks,
>>>> Nick
>>>>
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>>>> .
>>>>
>>> --
>>> Best regards,
>>>
>>> Peter Stahlecker
>>>
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>>
> --
> Best regards,
>
> Peter Stahlecker
>
-- 
Best regards,

Peter Stahlecker

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