关键词: 结构静态响应, 减基空间, 子空间夹角, 完备性, 优化算法

Abstract: The completeness analysis and building were conducted for the reduced basis space of structural static reduced responses with variable parameters. The solution precisions of structural static reduced responses were often influenced by the reduced spaces. An optimization model for selecting response basis was formed with applications of the vector subspace angle， which was used for quantifing the relationship between the response basis vector and subspace in the reduced basis. Subsequently， an optimization algorithm was utilized to choose the optimum basis vector in the response sets associated with the parameter domains step by step， in which the reduced basis space then tended towards more completeness and the obtained reduced responses of structure became also more accurate. The examples herein demonstrate the feasibility and effectiveness.

Key words: structural static response, reduced basis space, subspace angle, completeness, optimization algorithm