Mathematical models of structural optimization were established for a momentum-biased wheel rotor,by integrally considering its static and dynamic properties,while the structural optimization designs were carried out.The wheel's maximum rotation speed is 7000 r/min and maximum angular momentum is 3N·m·s.Three-dimensional static and dynamic solid topology optimizations on the wheel rotor were performed based on artificial material density method;then a conceptual model,which tends to be a model with 4 I-beam spokes,was gotten.Simultaneously,a rotor with 4 rectangular spokes was designed in contrast with the I-beam spoke rotor.Finally,parameter models were established in software ANSYS,and sizing optimization design was performed based on the zero-order method.The optimized results show that the volume of each rotor declines to 1.51×10
-4 m
3,and that the first elastic vibration frequency(1468.0 Hz) of the rotor with I-beam spokes is higher than that(1 413.5 Hz) of the rectangular spoke rotor,proving that the result of topology optimization is reasonable.The optimized results in this article are realizable in engineering.And the study method provides a reference to decreasing design mass and lowering rotor's vibrant level,etc.