Media Summary: The need for approximate solutions, recap of component level limit state function and failure probability; graphical representation ... Map from X to Y space: limit state h(Y) and joint PDF change shape and location; choose Y to be the space of independent ... Second moment (Hasofer-Lind) transform, full distribution transform, Nataf transform, Rackwitz-Fiessler transform, Rosenblatt ...
Structural Reliability Lecture 20 Module - Detailed Analysis & Overview
The need for approximate solutions, recap of component level limit state function and failure probability; graphical representation ... Map from X to Y space: limit state h(Y) and joint PDF change shape and location; choose Y to be the space of independent ... Second moment (Hasofer-Lind) transform, full distribution transform, Nataf transform, Rackwitz-Fiessler transform, Rosenblatt ... The approximate nature of FORM solution, map from X to U, evaluate h(U) repeatedly, find minimum distance from origin to h=0; ... Map the minimum distance point u* back to the design point x* ; characteristic values, idea of partial safety factors - role of bias, ... Gradient Projection Method - flow chart, graphical representation, Armijo's rule, convergence.
Recap of Parts A and B; plan for Part C; Recap of element vs. system Introduction, need to estimate rare probabilities, recap of Example: Redo D1 4RV Problem with SORM Example D1: Cable FROM Example D1 (contd.): computation of gradients required for optimization; FORM Example D2 and D3: repeat D1 with ... Main steps of FORM algorithm, graphical representation, pros and cons of FORM Full course plan: ...
