Reliability Analysis of Cantilever Beam based on Hybrid Stochastic Finite Element Method

Bi Junxi,Chen Jinjin,Huang Hongzhong,Zhou Yan,Wang Liqin

Table 2 Probability distribution of random input variables

Parameter types Symbol Mean Standard deviation Input parameters ${{D}_{1}}$ 230mm 0.100 ${{D}_{2}}$ 380mm 0.992 ${{D}_{3}}$ 170mm 1.014 ${{H}_{1}}$ 500mm 0.689 ${{H}_{2}}$ 320mm 0.837 ${{H}_{3}}$ 130mm 1.004 ${{H}_{4}}$ 700mm 0.787 E 206GPa 6.18GPa $\rho $ $7.85\text{g/}{{\text{m}}^{\text{2}}}$ $0.13\text{g/}{{\text{m}}^{\text{2}}}$ ${{\sigma }_{x}}$ 345MPa 55.62MPa ${{N}_{1}}$ 3600kN 1524.73N Output parameters VMS —— —— g(x) —— ——