공리적 설계에서 기하학적 해석과 시스템 구조 표현을 위한 도식적 방법의 고찰 및 안전 설계의 응용

This research presents the graphical methods of the spectral decomposition analysis to quantitatively identify the functional independence between Functional Requirements(FRs) and Design Parameters(DPs). Spectral decomposition analysis is classified into uncoupled design, decoupled design and coupled design using the properties of orthogonality of eigenvector from projection of design matrix. In addition to the spectral decomposition analysis, the Hierarchical Decomposition Mapping Diagram (HDMD) is introduced in this study to qualitatively identify the functional independence of design matrix. HDMD identify the system structure from the degree of functional coupling by the hierarchical mapping pattern for all types of the design matrix. The case study is presented in this research to explain the establishment of the safety test sequence plan for satisfying automotive safety standards using HDMD. The results show that the decoupled safety test sequence using axiomatic design can remarkably reduce the complexity of path dependence of safety test design matrix.