TY - JFULL
AU - Xinjian Kou and Linlin Li and Yongju Zhou and Jimian Song
PY - 2017/9/
TI - Redundancy Component Matrix and Structural Robustness
T2 - International Journal of Civil and Environmental Engineering
SP - 1149
EP - 1155
VL - 11
SN - 1307-6892
UR - https://publications.waset.org/pdf/10007814
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 128, 2017
N2 - We introduce the redundancy matrix that expresses clearly the geometrical/topological configuration of the structure. With the matrix, the redundancy of the structure is resolved into redundant components and assigned to each member or rigid joint. The values of the diagonal elements in the matrix indicates the importance of the corresponding members or rigid joints, and the geometrically correlations can be shown with the non-diagonal elements. If a member or rigid joint failures, reassignment of the redundant components can be calculated with the recursive method given in the paper. By combining the indexes of reliability and redundancy components, we define an index concerning the structural robustness. To further explain the properties of the redundancy matrix, we cited several examples of statically indeterminate structures, including two trusses and a rigid frame. With the examples, some simple results and the properties of the matrix are discussed. The examples also illustrate that the redundancy matrix and the relevant concepts are valuable in structural safety analysis.
ER -