Holonomic Elastoplastic Reliability Analysis of Truss Systems. II: Applications

This is the second of a two‐part paper on holonomic elastoplastic reliability analysis of truss systems under random loads. The present study concentrates on two truss‐system application examples. Extensive computations based on the holonomic reliability theory developed in the first part of this investigation are carried out using the elastoplastic mode generation method coupled with the sequential linear programming method. The standard normal load space is used for representing both the convergence of the programming method and the sensitivity of the most probable failure point to changes in allowable displacement. Furthermore, the effect of the allowable displacement on the reliability of holonomic elastic‐perfectly plastic trusses is demonstrated in the application examples considering both independent and perfectly correlated loads. For practical applications, it is shown that important computational gains may be achieved by using the proposed approach. This is mainly due to the elastoplastic mode generation method, which reduced the number of unknowns considerably.