The present paper deals with the following optimization

given the structural natural frequency constraint and certain constraints on the design variables

findingout the minimum weight of the rotor consistent with the above constraints. By using the method of mathematical programming combined with the perturbationconverse solution

this problem can be solved. The combined method reduces times of re-analyses

and is simple and easy to understand. A practical example of dynamic design of an aeroengine rotor is given. The results may be useful to the practical engineering.