Applications of stiffness-based evaluation method to element importance of truss systems

Abstract

Two structural performance indexes, making use of eigenvalues of stiffness matrix, are presented in the study for the evaluation of element importance in the progressive collapse analysis of space trusses. Both indexes are based on the consensus that the element transferring higher loads in the load path is generally more important in the structural sys­tem. The first index is formulated as change of the smallest stiffness after removal of specific element, and the second in­dex is defined as determinant of the stiffness matrix. Several simple numerical examples are presented to investigate per­formance of the proposed indexes; and finally, a square pyramid space grid system is studied as an illustrative example.