Abstract
Generally, design for shapes is defined by the expression of the combination of design parameters such as length and angle, and the optimal shape is investigated following some optimization method. By using general parameterization method, the expressible possibility of design is constrained by how design parameters are selected, and then the optimal design may be difficult to be found out. In this paper, a new shape parameterization method using principal component analysis is proposed so as to express the shape with more degree of freedom. And the example of shape optimization for film cooling holes of turbine blades is introduced, using proposed parameterization method and TDM.
