The object is traveling in a circular motion at a constant angular 
velocity, 1, with respect to the global z coordinate, gravity pointing 
downward z. Therefore, link force in xy plane is a centrifugal force, F = 
mw^2R, pointing towards origin, z component balance out gravitational 
force. With zero angular acceleration, z-component of link torque is zero, 
y-component balance out the torque from gravity, since rotation around y 
and z axis are constrained.

Thank you,
Luning

On Friday, March 10, 2023 at 12:10:53 AM UTC-6 Simon wrote:

> Hi Luning,
>
> thanks for the clarification about the link coordinate system.
> In my example I added the link coordinate system output to verify that it 
> is indeed fixed to the global reference frame (see below).
>
> Unfortunately my question remains: Why does the link force vector rotate 
> and the torque vector does not ?  
>
> Thank you, 
> Simon
>
>
> *Code:*
> ChSystemNSC system{};
>
> auto fixed_body{chrono_types::make_shared<ChBody>()};
> fixed_body->SetBodyFixed(true);
> auto rotating_body{chrono_types::make_shared<ChBody>()};
> rotating_body->SetPos({1.0, 0.0, 0.0});
>
> auto rotation_link{chrono_types::make_shared<ChLinkMotorRotationSpeed>()};
> rotation_link->Initialize(rotating_body, fixed_body, ChFrame{});
>
> rotation_link->SetSpeedFunction(chrono_types::make_shared<ChFunction_Const>(1.0));
>
> system.Add(fixed_body);
> system.Add(rotating_body);
> system.Add(rotation_link);
>
> system.Set_G_acc({0.0, 0.0, 10.0});
>
> for (double time{}; time < 1.0; time += 0.01)
> {
>     system.DoFrameDynamics(time);
>
>     std::cout << std::fixed << std::setprecision(3) << "Time: " << 
> system.GetChTime()
>               << " *** Force: " << rotation_link->Get_react_force()
>               << " *** Torque: " << rotation_link->Get_react_torque()
>               << " *** Link Absolute Coords: " << 
> rotation_link->GetLinkAbsoluteCoords() << "\n";
> }
>
>
> *Output:*
> ...
> Time: 0.830 *** Force: 0.682  0.731  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.840 *** Force: 0.675  0.738  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.850 *** Force: 0.667  0.745  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.860 *** Force: 0.660  0.751  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.870 *** Force: 0.652  0.758  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.880 *** Force: 0.645  0.764  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.890 *** Force: 0.637  0.771  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.900 *** Force: 0.629  0.777  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.910 *** Force: 0.622  0.783  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.920 *** Force: 0.614  0.790  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.930 *** Force: 0.606  0.796  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.940 *** Force: 0.598  0.802  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.950 *** Force: 0.590  0.808  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.960 *** Force: 0.582  0.813  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.970 *** Force: 0.574  0.819  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.980 *** Force: 0.565  0.825  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
> Time: 0.990 *** Force: 0.557  0.831  10.000 *** Torque: 0.000  -10.000 
>  -0.000 *** Link Absolute Coords: 0.000  0.000  0.000  1.000  0.000  0.000 
>  0.000
>
>
> On Thursday, March 9, 2023 at 4:59:13 PM UTC+1 [email protected] wrote:
>
>> Hello Simon,
>>
>> "As I understand, the link coordinate system is the 'master' body system 
>> (Body2)."
>> This is not correct. Your link coordinate system is defined here,
>>
>> rotation_link->Initialize(rotating_body, fixed_body, ChFrame{});
>>
>> ChFrame{} initialize a reference frame coincide with the global reference 
>> frame. Because your Body2 (fixed_body) has the same orientation as the GRF, 
>> and it is fixed, it just so happens that your link coordinate system is the 
>> same as the 'master' body system. 
>>
>> You can check the orientation of the  link coordinate system using this: 
>> auto quat = rotation_link->GetLinkAbsoluteCoords().rot
>>
>> Thank you,
>> Luning
>>
>> On Tuesday, March 7, 2023 at 9:45:38 AM UTC-6 Simon wrote:
>>
>> Hi, 
>>
>> as per the documentation 
>> <https://api.projectchrono.org/classchrono_1_1_ch_link_motor_rotation_speed.html>,
>>  
>> ChLinkMotorRotationSpeed's member functions Get_react_force() and 
>> Get_react_torque() return the respective values in link coordinates.
>> As I understand, the link coordinate system is the 'master' body system 
>> (Body2).
>>
>> In the example below a body rotates around the absolute z axis using 
>> ChLinkMotorRotationSpeed (the 'master' body is fixed here). As expected, 
>> the link reaction force consists of a the constant body weight in z 
>> direction and the rotating centrifugal load in the x-y plane. However, the 
>> reaction torque (due to gravity) is constant despite the link's rotation. 
>> Shouldn't the torque vector also rotate or do I misunderstand something?
>>
>> Thanks in advance!
>> Simon
>>
>>
>> *Code: *
>> ChSystemNSC system{};
>>
>> auto fixed_body{chrono_types::make_shared<ChBody>()};
>> fixed_body->SetBodyFixed(true);
>> auto rotating_body{chrono_types::make_shared<ChBody>()};
>> rotating_body->SetPos({1.0, 0.0, 0.0});
>>
>> auto rotation_link{chrono_types::make_shared<ChLinkMotorRotationSpeed>()};
>> rotation_link->Initialize(rotating_body, fixed_body, ChFrame{});
>>
>> rotation_link->SetSpeedFunction(chrono_types::make_shared<ChFunction_Const>(1.0));
>>
>> system.Add(fixed_body);
>> system.Add(rotating_body);
>> system.Add(rotation_link);
>>
>> system.Set_G_acc({0.0, 0.0, 10.0});
>>
>> for (double time{}; time < 1.0; time += 0.01)
>> {
>>     system.DoFrameDynamics(time);
>>
>>     std::cout << std::fixed << std::setprecision(3) << "Time: " << 
>> system.GetChTime()
>>               << " *** Force: " << rotation_link->Get_react_force()
>>               << " *** Moment: " << rotation_link->Get_react_torque() << 
>> "\n";
>> }
>>
>>
>> *Output: ...*
>> Time: 0.810 *** Force: 0.697  0.717  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.820 *** Force: 0.690  0.724  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.830 *** Force: 0.682  0.731  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.840 *** Force: 0.675  0.738  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.850 *** Force: 0.667  0.745  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.860 *** Force: 0.660  0.751  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.870 *** Force: 0.652  0.758  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.880 *** Force: 0.645  0.764  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.890 *** Force: 0.637  0.771  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.900 *** Force: 0.629  0.777  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.910 *** Force: 0.622  0.783  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.920 *** Force: 0.614  0.790  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.930 *** Force: 0.606  0.796  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.940 *** Force: 0.598  0.802  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.950 *** Force: 0.590  0.808  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.960 *** Force: 0.582  0.813  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.970 *** Force: 0.574  0.819  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.980 *** Force: 0.565  0.825  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>> Time: 0.990 *** Force: 0.557  0.831  10.000 *** Moment: 0.000  -10.000 
>>  -0.000
>>
>>

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