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Particle Orientation matrix

Saeed NaamnhUser: "Saeed Naamnh"
Altair Community Member
Updated by Saeed Naamnh

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    RWoodUser: "RWood"
    Altair Employee
    Accepted Answer
    Updated by RWood

    Hi,

    Internally everything is done using quaternions but the user should only see the 3x3 rotation matrix representation. It's pretty trivial to convert between the two, should you need to.

    https://en.m.wikipedia.org/wiki/Quaternions_and_spatial_rotation

    Richard

    Saeed NaamnhUser: "Saeed Naamnh"
    Altair Community Member
    OP
    Updated by Saeed Naamnh

    Thanks Richard 

    Saeed NaamnhUser: "Saeed Naamnh"
    Altair Community Member
    OP
    Updated by Saeed Naamnh

    Hi 

     

    Do you know why the matrix is not symmetric ? 

    And why the some of the diagonal values are minus (-)

    image

    RWoodUser: "RWood"
    Altair Employee
    Updated by RWood

    Hi 

     

    Do you know why the matrix is not symmetric ? 

    And why the some of the diagonal values are minus (-)

    image

    Replied in your other post


    https://community.altair.com/community?id=community_Question&sys_id=35270f5a1b8955d0507ca6442a4bcbf3

    Hi 

     

    Do you know why the matrix is not symmetric ? 

    And why the some of the diagonal values are minus (-)

    image

    Hi,


    With regard to the -ve values this is a useful link for visualising the different orientations:

     

    http://www.euclideanspace.com/maths/algebra/matrix/transforms/examples/index.htm

     

    This would be the matrix to rotate a particle from the position in the Creator at 45degrees in Y axis for example:

     

    image

    If I do 10 degrees in X, 20 in Y and 30 in Z we get:

    image

    I use the attached spreadsheet to help with regard to helping understand the different orientations.

     

     

    Saeed NaamnhUser: "Saeed Naamnh"
    Altair Community Member
    OP
    Updated by Saeed Naamnh

    Hi Stephen

    Thank you for the clarification, But how can I determine the angle value from edem ? 

     

     

     

     

    Salma HassanUser: "Salma Hassan"
    Altair Community Member
    Updated by Salma Hassan

    Hi Stephen,

    I want to predicate the intra-particle coating uniformity as a function of the particle's orientation as they pass through the spray zone, and am simulating a spherical shape. From the orientation matrix, how can I determine which vector is the direction of the particle's face?

    particle 1

    type: Urea
    velocity: x = 0.621758 m/s, y = -0.263098 m/s, z = -0.00719657 m/s
    position: x = -100.179 mm, y = -99.7823 mm, z = 26.0024 mm
    angular velocity: x = 76.4974 rad/s, y = -38.4065 rad/s, z = 46.7943 rad/s
    force: x = -1.22761e-05 N, y = -7.95452e-05 N, z = 0.000232114 N
    total force: 0.000245672 N
    compressive force: 0.000225682 N
    torque: x = 5.3362e-07 Nm, y = -2.50706e-07 Nm, z = 4.16641e-07 Nm
    mass: 4.46103e-05 kg
    residence time: 60 s

    orientation

    x: x = -0.490355, y = -0.448063, z = -0.747524
    y: x = 0.753977, y = 0.212096, z = -0.621718
    z: x = 0.437116, y = -0.868478, z = 0.233827

    Custom Properties

    Liquid Volume: 9.38404e-11 m³
    Custom Residence Time: 0.768615 s

    Hi,


    With regard to the -ve values this is a useful link for visualising the different orientations:

     

    http://www.euclideanspace.com/maths/algebra/matrix/transforms/examples/index.htm

     

    This would be the matrix to rotate a particle from the position in the Creator at 45degrees in Y axis for example:

     

    image

    If I do 10 degrees in X, 20 in Y and 30 in Z we get:

    image

    I use the attached spreadsheet to help with regard to helping understand the different orientations.

     

     

    Hi Stephen,

    I am trying to create a cubic particle which has a fixed orientation. The cube should be rotated 45 degrees about the y-axis, so I used the orientation matrix you presented above. However, EDEM then gives the following message: 

    image

    Why is this a problem?

    Hi Stephen,

    I am trying to create a cubic particle which has a fixed orientation. The cube should be rotated 45 degrees about the y-axis, so I used the orientation matrix you presented above. However, EDEM then gives the following message: 

    image

    Why is this a problem?

    Hi Raisa,

     

    Do the particles still get created?  This is a warning typically generated due to the accuracy of the inputs but can still allow the particle to be created.

    You could try adding the values at a different precision to check if this is accepted by the matrix.  Just to note this error checking has been improved in EDEM 2022.3, it allows inputs to greater accuracy and only checks if it's orthogonal to 3 decimal places. 

    2022.3 should be released this week so it maybe best to check with that version once uploaded to the community site.


    Regards

    Stephen

     

    Hi Raisa,

     

    Do the particles still get created?  This is a warning typically generated due to the accuracy of the inputs but can still allow the particle to be created.

    You could try adding the values at a different precision to check if this is accepted by the matrix.  Just to note this error checking has been improved in EDEM 2022.3, it allows inputs to greater accuracy and only checks if it's orthogonal to 3 decimal places. 

    2022.3 should be released this week so it maybe best to check with that version once uploaded to the community site.


    Regards

    Stephen

     

    Thanks for your reply Stephen! Unfortunately EDEM 2022.2 does not allow me to increase the accuracy beyond 3 decimal places. I will try this in version 2022.3!