Pepper - Masses


Warning

The Masses as well as the Center of Mass positions taken in account in the robot models have been updated in order to remove the slight dissymmetry between left and right limbs.

Legend

This page details, for each solid (S) of a robot, the Mass, Center of Mass and Inertial matrix.

\text{Mass (kg)}

\text{CoM(S)} = \left[\begin{array}{c}
X_G \\ Y_G \\ Z_G
\end{array} \right]_{(o, R)} \text{(m)}

\left[I_o(S)\right]_R = \left[\begin{array}{ccc}
I_{xx} & I_{xy} & I_{xz} \\
I_{yx} & I_{yy} & I_{yz} \\
I_{zx} & I_{zy} & I_{zz}
\end{array}\right]_R (\text{kg}*\text{m}^2)

The Center of Mass position and the Inertial matrix are described relative to the local coordinate system of the current solid (S) (o, R).

All solids (S) and local coordinate system are described relative to the zero posture: standing with straight leg and arms pointing forwards.

juliet_xyz

Torso

(o, R) is located on: Torso.

../../_images/mass_torso.png

\text{Mass} = 3.9953

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.00322\\
                  0\\
                  -0.01029
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.045699130744 & 0 & -0.0051232860424\\
                          0 & 0.04373466596 & 0.00026688593789\\
                          -0.0051232860424 & 0.00026688593789 & 0.02592952922\\
                        \end{array}
                        \right]_R

Neck

(o, R) is located on: HeadYaw.

../../_images/mass_headyaw.png

\text{Mass} = 0.27391

\text{CoM(S)} = \left[
                \begin{array}{c}
                  -0.00207\\
                  0\\
                  -0.02636
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.00053382734768 & 0 & 3.3802258258e-05\\
                          0 & 0.00068539753556 & -2.0986299205e-06\\
                          3.3802258258e-05 & -2.0986299205e-06 & 0.00021642596403\\
                        \end{array}
                        \right]_R

Left Shoulder

(o, R) is located on: LShoulderPitch.

../../_images/mass_lshoulderpitch.png

\text{Mass} = 0.3125

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.00018\\
                  -0.01856\\
                  0.00099
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.00046915243729 & 9.3946999868e-07 & -5.8021998939e-07\\
                          9.3946999868e-07 & 0.000137545896 & -5.3219999074e-08\\
                          -5.8021998939e-07 & -5.3219999074e-08 & 0.0005068522878\\
                        \end{array}
                        \right]_R

Left Bicep

(o, R) is located on: LShoulderRoll.

../../_images/mass_lshoulderroll.png

\text{Mass} = 0.50527

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.08151\\
                  0.01284\\
                  -0.01017
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.00063643301837 & 0.00056440150365 & -0.00050397327868\\
                          0.00056440150365 & 0.0046720537357 & -7.5047697464e-05\\
                          -0.00050397327868 & -7.5047697464e-05 & 0.0045974343084\\
                        \end{array}
                        \right]_R

Left Elbow

(o, R) is located on: LElbowYaw.

../../_images/mass_lelbowyaw.png

\text{Mass} = 0.27495

\text{CoM(S)} = \left[
                \begin{array}{c}
                  -0.02297\\
                  -0.00019\\
                  0.00119
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.00012337038061 & 2.1393999816e-07 & 1.8068200006e-05\\
                          2.1393999816e-07 & 0.00047722423915 & 1.927079893e-06\\
                          1.8068200006e-05 & 1.927079893e-06 & 0.00044812628767\\
                        \end{array}
                        \right]_R

Left ForeArm

(o, R) is located on: LElbowRoll.

../../_images/mass_lelbowroll.png

\text{Mass} = 0.16579

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.0593\\
                  0.00271\\
                  -0.01014
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.0015833961079 & 1.1891290342e-05 & -3.911523163e-05\\
                          1.1891290342e-05 & 0.0023322382476 & -4.3796198952e-06\\
                          -3.911523163e-05 & -4.3796198952e-06 & 0.00085729791317\\
                        \end{array}
                        \right]_R

Left Hand with fingers

(o, R) is located on: LWristYaw.

../../_images/mass_lwristyaw.png

\text{Mass} = 0.27555

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.03536\\
                  -0.00072\\
                  -0.00207
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.00015296612401 & -1.7678210497e-05 & -2.3064030756e-05\\
                          -1.7678210497e-05 & 0.00077680806862 & 3.5478299196e-06\\
                          -2.3064030756e-05 & 3.5478299196e-06 & 0.0008008434088\\
                        \end{array}
                        \right]_R

Hip

(o, R) is located on: HipRoll.

../../_images/mass_hiproll.png

\text{Mass} = 1.0234

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.00032\\
                  0\\
                  -0.06039
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.0087564364076 & 0 & 5.7145098253e-06\\
                          0 & 0.010142030194 & -0.000159449075\\
                          5.7145098253e-06 & -0.000159449075 & 0.0044109211303\\
                        \end{array}
                        \right]_R

Thighs

(o, R) is located on: HipPitch.

../../_images/mass_hippitch.png

\text{Mass} = 2.4592

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.00237\\
                  0\\
                  -0.09654
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.057270400226 & 0 & -0.00078569183825\\
                          0 & 0.053245455027 & 8.3754159277e-05\\
                          -0.00078569183825 & 8.3754159277e-05 & 0.014390878379\\
                        \end{array}
                        \right]_R

Base with Wheels

(o, R) is located on: KneePitch.

../../_images/mass_kneepitch.png

\text{Mass} = 15.485

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.00249\\
                  0\\
                  -0.20536
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.86977553368 & 0.00040178798372 & -0.0086652245373\\
                          0.00040178798372 & 0.85964071751 & 0\\
                          -0.0086652245373 & 0 & 0.23531636596\\
                        \end{array}
                        \right]_R

Right Shoulder

(o, R) is located on: RShoulderPitch.

../../_images/mass_rshoulderpitch.png

\text{Mass} = 0.3125

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.00018\\
                  0.01856\\
                  0.00099
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.00046915243729 & -9.3946999868e-07 & -5.8021998939e-07\\
                          -9.3946999868e-07 & 0.000137545896 & 5.3219999074e-08\\
                          -5.8021998939e-07 & 5.3219999074e-08 & 0.0005068522878\\
                        \end{array}
                        \right]_R

Right Bicep

(o, R) is located on: RShoulderRoll.

../../_images/mass_rshoulderroll.png

\text{Mass} = 0.50527

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.08151\\
                  -0.01284\\
                  -0.01017
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.00063643301837 & -0.00056440150365 & -0.00050397327868\\
                          -0.00056440150365 & 0.0046720537357 & 7.5047697464e-05\\
                          -0.00050397327868 & 7.5047697464e-05 & 0.0045974343084\\
                        \end{array}
                        \right]_R

Right Elbow

(o, R) is located on: RElbowYaw.

../../_images/mass_relbowyaw.png

\text{Mass} = 0.27495

\text{CoM(S)} = \left[
                \begin{array}{c}
                  -0.02297\\
                  0.00019\\
                  0.00119
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.00012337038061 & -2.1393999816e-07 & 1.8068200006e-05\\
                          -2.1393999816e-07 & 0.00047722423915 & -1.927079893e-06\\
                          1.8068200006e-05 & -1.927079893e-06 & 0.00044812628767\\
                        \end{array}
                        \right]_R

Right ForeArm

(o, R) is located on: RElbowRoll.

../../_images/mass_relbowroll.png

\text{Mass} = 0.16579

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.0593\\
                  -0.00271\\
                  -0.01014
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.0015833961079 & -1.1891290342e-05 & -3.911523163e-05\\
                          -1.1891290342e-05 & 0.0023322382476 & 4.3796198952e-06\\
                          -3.911523163e-05 & 4.3796198952e-06 & 0.00085729791317\\
                        \end{array}
                        \right]_R

Right Hand with fingers

(o, R) is located on: RWristYaw.

../../_images/mass_rwristyaw.png

\text{Mass} = 0.27555

\text{CoM(S)} = \left[
                \begin{array}{c}
                  0.03536\\
                  0.00072\\
                  -0.00207
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.00015296612401 & 1.7678210497e-05 & -2.3064030756e-05\\
                          1.7678210497e-05 & 0.00077680806862 & -3.5478299196e-06\\
                          -2.3064030756e-05 & -3.5478299196e-06 & 0.0008008434088\\
                        \end{array}
                        \right]_R

Appendix

Wheel - Front Left

(o, R) is located on: WheelFL.

../../_images/mass_wheelfl.png

\text{Mass} = 0

\text{CoM(S)} = \left[
                \begin{array}{c}
                  -0.00058\\
                  -0.00063\\
                  0.0001
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.0025765921455 & -1.6344199594e-06 & -4.1009738197e-05\\
                          -1.6344199594e-06 & 0.0026606358588 & -1.8152999814e-07\\
                          -4.1009738197e-05 & -1.8152999814e-07 & 0.0024298275821\\
                        \end{array}
                        \right]_R

Wheel - Front Right

(o, R) is located on: WheelFR.

../../_images/mass_wheelfr.png

\text{Mass} = 0

\text{CoM(S)} = \left[
                \begin{array}{c}
                  -0.00058\\
                  -0.00063\\
                  0.0001
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.0025765921455 & -1.6344199594e-06 & -4.1009738197e-05\\
                          -1.6344199594e-06 & 0.0026606358588 & -1.8152999814e-07\\
                          -4.1009738197e-05 & -1.8152999814e-07 & 0.0024298275821\\
                        \end{array}
                        \right]_R

Wheel - Back

(o, R) is located on: WheelB.

../../_images/mass_wheelb.png

\text{Mass} = 0

\text{CoM(S)} = \left[
                \begin{array}{c}
                  -0.00058\\
                  -0.00063\\
                  0.0001
                \end{array}
                \right]_{(o, R)}

\left[I_o(S)\right]_R = \left[
                        \begin{array}{ccc}
                          0.0025765921455 & -1.6344199594e-06 & -4.1009738197e-05\\
                          -1.6344199594e-06 & 0.0026606358588 & -1.8152999814e-07\\
                          -4.1009738197e-05 & -1.8152999814e-07 & 0.0024298275821\\
                        \end{array}
                        \right]_R