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If the natural frequency is high, generally it means the stiffness is relatively high and the mass is relatively low. The relation f = root(k/m) applies for the first natural frequency. The geometry, Young's modulus, density and boundary conditions are the influencers in the elevation of natural frequency. Strength is a material property and isn't used in the computation of natural frequency, nor is the structure stronger simply due to high natural frequency. I find that using draft quality elements always gives erroneously high natural frequency when bending is in the mode shape. So I avoid them for almost all simulations, except maybe a cylinder in pure axial load.