Use a one-element, finite-element model to approximate the lowest nonzero torsional natural frequency of a uniform shaft
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Use a one-element, finite-element model to approximate the lowest nonzero torsional natural frequency of a uniform shaft of mass density \(ho\), polar moment of inertia \(J\), shear modulus \(G\), and length \(L\) that has a thin disk of mass moment of inertia \(I_{1}\) attached at one end and a thin disk of mass moment of inertia \(I_{2}\) attached at the other end.
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