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Singularity in Stiffness matrix

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This is the model of a tritare which has three stretched strings connected at the center. I undestand that it has a multifreedom constraint at the center. But still I believe it should be able to compute the eigenfrequencies for the structure. In the general study it says that the stiffness matrix is singular but I believe it is well constrained.

Any help would be appreciated.


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