Add the Two-Dimensional Highly Non-Linear Limit State Function (Example 5) from Grandhi and Wang (1999) #341
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The two-dimensional reliabity test function from Grandhi and Wang (1999)1 is defined as follows (see Example 5):
where$\boldsymbol{x} = \{ x_1, x_2 \}$ is the vector of input variables modeled as two independent normal random variables with mean $10$ and standard deviation $3$ .
The function features a highly-nonlinear limit state function.
Footnotes
R. V. Grandhi and L. Wang, “Higher-order failure probability calculation using nonlinear approximations,” Computer Methods in Applied Mechanics and Engineering, vol. 168, no. 1–4, pp. 185–206, Jan. 1999, doi: 10.1016/S0045-7825(98)00140-6. ↩
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