Block Format Keyword
/FRAME/MOV2 - Moving Frames
Description
Describes moving frames. Relative motion with respect to a reference frame. Moving frame definition differs from /FRAME/MOV (Comment 8).
Format
(1)
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(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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(10)
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/FRAME/MOV2/frame_ID
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frame_title
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node_ID1
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node_ID2
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node_ID3
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Field
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Contents
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frame_ID
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Reference frame identifier - must be different from all skew identifiers.
(Integer, maximum 10 digits)
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frame_title
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Reference frame title
(Character, maximum 100 characters)
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node_ID1
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Node identifier N1
(Integer)
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node_ID2
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Node identifier N2
(Integer)
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node_ID3
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Node identifier N3
(Integer)
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1. | Let a moving reference frame t(A,u,v,w). |
2. | For each time t, the frame position and orientation are determined via its original position xA and a rotation (orientation) matrix R. |
3. | Let w be the instantaneous rotational velocity of . |
4. | For each time t, the local coordinates xl of a point M with respect to the frame are related to its coordinates xG into the global system, as follows: |
5. | The relative displacement of M between time 0 and t, with respect to the frame is related to its displacement with regard to the global system, as follows: |
6. | The relative velocity of M with respect to the frame is related to its velocity with regard to the global system, as follows: |
Rvl = vG - ve
Where, is the driving velocity; that is the velocity of the point coincident with M at time t and fixed with respect to the reference frame.
7. | The relative acceleration of M with respect to the frame M is related to its acceleration with regard to the global system, as follows: |
Where, is the driving acceleration and is the acceleration, due to Coriolis forces.
8. | For a moving reference frame, the reference frame position and orientation vary with time and are defined by N1, N2 and N3. |
The origin of the frame is defined by the position of N1.
node_ID1and node_ID2 define Z’
node_ID1 and node_ID3 define X’’
Reference frame identifier must be different from all skew identifiers.
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See Also:
Skew and Frame (/SKEW & /FRAME)