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Vibration of a 3D fixed-fixed string

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When I do the eigenfrequency study for the string, all I get are axial modes and not transverse modes. Could someone tell me why it is happening? I ticked the box to include geometric nonlinearities.

While I understand that it is a 2d problem, this is my starting point for modeling a tritare or an N string tyupe structure which will have motion in 3 dimensions. I matched my model with study 1 of vibrating string example available online.

Any help is appreciated


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