A base isolated rigid body system is assumed to be subjected to steady harmonic excitation and the response is to be analyzed, The optimum stiffness of the isolated layer of the multistory masonry building with different damping ratios is suggested.

By using sidesway calculation formula for frame-tube structures with top horizontal outriggers,the optimization stiffness of outriggers in the frame-tube structures with strengthened story are analyzed the method to determine the optimum stiffness of the horizontal outriggers magnitude and precise parameters base on reduced structure sidesway is presented.

Based on considering the bending deformation Of shear walls, the optimum stiffness of shear wall in a frame-shear wall structure was analyzed in this paper in six combined cases with the hoal deformation of side columns of frame or walls, the shear deformation of shear walls and the different coupling of binding beams.

With the purpose of conquering the difficulty in reasonably determining the amount of shear walls used for designing a tall frame shear wall structure,the author formulates a concept of optimal stiffness of shear wall in a tall frame shear wall structure;and offers a scientific method for determining the amount of shear walls.

In the light of materialist dialectical thinking,a mathematical model is formed for solving the optimal stiffness of shear wall in a tall building.

To validate the GBG method,it is applied to the stiffness maximization of plane and curved panels.

For resolving efficiently the problem of machining errors that are caused by bending deflection of weak stiffness shafts,this paper has analyzed machining errors of the workpiece by calculating the bending deflection based on reasonable selecting the technological parameters,and offered specific measures of error control——to compensate the errors by macro programming.