Download or read book A Most Probable Point-Based Method for Reliability Analysis, Sensitivity Analysis and Design Optimization written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-05-29 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major step in a most probable point (MPP)-based method for reliability analysis is to determine the MPP. This is usually accomplished by using an optimization search algorithm. The minimum distance associated with the MPP provides a measurement of safety probability, which can be obtained by approximate probability integration methods such as FORM or SORM. The reliability sensitivity equations are derived first in this paper, based on the derivatives of the optimal solution. Examples are provided later to demonstrate the use of these derivatives for better reliability analysis and reliability-based design optimization (RBDO).Hou, Gene J.-W and Newman, Perry A. (Technical Monitor)Langley Research CenterDESIGN OPTIMIZATION; PROBABILITY THEORY; RELIABILITY ANALYSIS; SENSITIVITY ANALYSIS; ALGORITHMS; RANDOM VARIABLES; STANDARD DEVIATION; ITERATION; CONVERGENCE