The dynamics of a stabilized bottomhole assembly plays an important role in the behavior of the assembly. In this paper the equation for critical speed of a rotating shaft is applied on the drillcollar sections between two stabilizers. Effects such as buoyancy and axial load are included in the model. The proposed model is applied on a typical stabilized bottomhole assembly and the results are shown in a diagram where the combinations of weight on bit, well depth, and rotary speed giving transversal resonance can readily be identified. For deeper wells the drillcollars will get into a state of transversal buckling. This is also shown in a diagram. By avoiding these critical parameters, transversal resonance in the bottomhole assembly can be avoided, resulting in minimal strain on the wellbore and on the equipment. Also, better directional stability can be obtained.