Head Expander type vibration fixtures are widely used in space industry for conducting the vibration test and to act as an interface between the shaker and test specimen. Parametric studies were conducted on the standard available conical head expander by varying the parameters such as rib thickness and stub diameter, frequencies for the torsional, bending, and longitudinal modes were obtained using FEM Analysis carried out in Abaqus. Curve fitting was carried out to estimate the torsional, bending, and longitudinal frequencies as a function of rib thickness and stub diameter. Topology Optimization was carried using the evolutionary algorithm for an assumed initial guess by constraining the final volume and maximizing the modal frequency. An estimated curve of Pareto-optimal frequency for different constraining volume was obtained. Based on the obtained optimized configuration for a given target volume, a fine-tuned geometry was obtained for ease in manufacturability without a significant loss in optimal frequency.