超球分割数値積分法による構造システムの信頼性評価

概要

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This paper describes a new numerical integration method for the structural failure probability based on the "Hypersphere Division Method". A hypersphere of a specified radius in polar coordinates is considered and its surface is divided into several finite element meshes at constant step angles of the respective arguments. A failure probability element related to a certain mesh is formulated as the mesh area multiplied by the probability density at the same radial distance and an inedx, one or zero, indicating whether or not the mesh is located in the failure domain. The sum of all the failure probability elements gives the failure probability contribution of the hypersphere. The structural failure probability is evaluated approximately by the sum of the failure probability contribution of several concentric hyperspheres, each radius of which is changed at a constant width within an effective distance range. Numerical examples are presented to illustrate the structural reliability assessment of the proposed method.
一般社団法人日本機械学会の論文
2000-12-25