To find economic mixing proportions of 60MPa high strength self compacting concrete optimizing a multi-objective problem was performed, which was implemented numerically on MathCAD15 to calculate the economic and optimal mix proportion considering multi-objective characterizing the five performances like compressive strength, passing ability, segregation resistance, manufacturing cost and bulk density depending on the factors like water-binder ratio, cement content, fine aggregate percentage, fly ash content and superplasticizer content.

NSGAⅡ algorithm was employed to optimize the multi-objective problem to find mixing proportions of 60MPa high strength self compacting concrete, which was implemented numerically on MATLAB to calculate the optimal mix proportion considering multi-objective characterizing the four performances like compressive strength, passing ability, segregation resistance and manufacturing cost depending on the factors like water-binder ratio, cement content, fine aggregate percentage, fly ash content and superplasticizer content.

Multi-objective optimization coupled with GA-ANN Metamodeling Method and NSGAⅡ was implemented to optimize TMD installed on 10 story structure under El Centro earthquake. Layer number and nodes of ANN were optimized by use of genetic algorithm and NSGA-Ⅱalgorithm was applied to solve multi-objective optimization problem prepared by GA-ANN metamodel. It is found that the GA-ANN multi-objective optimized damper improved frequency responses and root mean square displacements of the structure without TMD by 34.7% and 76.4% under El Centro earthquake, respectively.