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question on rotation tensors

Hi,

I am doing a self-study on continuum mechanics and have the following question on rotation tensors that I would like to get answered with your help:

 

How would one come up with the rotation tensor in 3D when the axis and the angle of rotation is given. For e.g., what would be the rotation tensor in cartesian coordinates when I would like to rotate the system about n(e_1 + e_2 + e_3) by say +60 deg.

 

Thanks in advance

Manoj

Alexander Polishchuk's picture

Hi,

you can read about rotation matrix in Wikipedia:

http://en.wikipedia.org/wiki/Rotation_matrix

The section "Rotation matrix from axis and angle" of the article answers your question. You can find there invariant expression for rotation matrix through axis unit vector and rotation angle.

 

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