In order to solve the issue of periodic structural topology optimization with design-dependence

the self-adaption strategy and random sampling method were developed

and a topology optimization approach called bi-directional evolutionary structural optimization(BESO) using self-adaption and random sampling sensitivity analysis was proposed based on traditional BESO method.It is also suitable for the non-periodic structures.Based on the approach

the Michell truss structure topological optimization design was carried out

and the optimum structure was obtained in consistence with the theoretical solution.The mass was reduced by 71.5%

compared with the initial structure

showing the proposed method is reasonable;moreover

the multi-web fan disk was designed by the above method

and a new three-web fan disk was obtained.The mass declined by 17.21% in relation to the reference fan disk.The results further illustrates that the method has the ability to cope with the complex issue of periodic structural topology optimization.Additionally

the prone oscillation problems of classical BESO method has been overcome by the algorithm.