Low-dimensional random variable problem reliability design method and system

The invention provides a low-dimensional random variable problem reliability design method and system, and relates to the technical field of low-dimensional random variable problem reliability design, and the method comprises the steps: selecting any circle or sphere with a target reliability index value as a radius in a U space, and generating a plurality of corresponding multi-dimensional uniformly distributed samples, the U space represents a standard normal distribution space; the multiple multi-dimensional evenly-distributed samples are mapped into an X space, a multi-dimensional sample matrix corresponding to the multi-dimensional evenly-distributed samples is obtained, the X space represents an original random variable space, and the multi-dimensional sample matrix comprises multiple design parameters; a performance function with a design parameter vector composed of a plurality of design parameters as a random variable is constructed, the design parameters are separated from a limit state function, al