TAILIEUCHUNG - Lifetime-Oriented Structural Design Concepts- P20

Lifetime-Oriented Structural Design Concepts- P20: At the beginning of 1996, the Cooperative Research Center SFB 398 financially supported by the German Science Foundation (DFG) was started at Ruhr-University Bochum (RUB). A scientists group representing the fields of structural engineering, structural mechanics, soil mechanics, material science, and numerical mathematics introduced a research program on “lifetimeoriented design concepts on the basis of damage and deterioration aspects”. | 528 4 Methodological Implementation Q 8i i i and the complex conjugate eigenvector matrix T Q Q including the complex eigenvector matrix . . tf ft i . Unfortunately the solution of the subspace identification for the system matrix A is discrete-time and includes an arbitrary state space transformation. The complex circular frequency matrix A obtained from the solution of the special eigenvalue problem is a diagonal matrix and independent from the state space transformation. The continuous-time complex conjugate circular frequency matrix A ln A can be calculated with the matrix logarithm ln see 228 . The complex eigenvector matrix is similar in discrete-time and continuous-time but includes an abritrary state space transformation. Therefore the transformed complex eigenvector matrix C Q Q is calculated with the output matrix C which includes the same state space transformation see . 615 . Reliability Analysis Authored by Dietrich Hartmann Yuri Petryna and Andres Wellmann Jelic The computer-based determination and analysis of structural reliability aims at the realistic spatiotemporal assessment of the probability that given structural systems will adequately perform their intended functions sub ject to Reliability Analysis 529 existing environmental conditions. Thus the computation of time-variant but also time-invariant failure probabilities of a structure in total or in parts governs the reliability analysis approach. In addition based on the success gained in reliability analysis in the past it becomes more and more popular to extend the reliability analysis to a reliability-based optimum design. By that structural optimization of structures which often leads to infeasible structural layouts in sensitive cases naturally incorporates probabilistic effects in the optimization variables criteria and constraints making real world optimization models. According to the fact that various modes of failure .

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