这是新加坡南洋理工大学Low教授的文章，在其主页也可以下载
REEs}88);' Practical Probabilistic Slope Stability Analysis
NVt612/'7y B. K. Low
5X4 #T&. Associate Professor, School of Civil & Environmental Engineering, Nanyang Technological University, Singapore
H<Ne\zAv 639798
H K]-QTEn Abstract
#pe#(xoI A practical procedure is described for implementing Spencer’s method of slices with varying side force inclination.
[i"6\p & The search for the noncircular critical slip surface is accomplished using spreadsheet-automated constrained
//x^[fkNq) optimization. The deterministic formulation is then extended probabilistically to compute the Hasofer-Lind
[UP-BX( reliability index via constrained optimization of the dispersion hyperellipsoid in the original space of the random
D90.z"N\i9 variables. Reliability analyses involving spatially correlated normal and lognormal random variables are
0@O:C:: illustrated for an embankment on soft ground, with search for the reliability-based noncircular critical slip surface.
8 ztVv The probabilities of failure and the probability density functions inferred from reliability indices are compared with
.el&\Jt Monte Carlo simulations. It is demonstrated that the hitherto complicated problems of locating noncircular critical
<./r%3$;7 surface and reliability analysis involving implicit functions and correlated nonnormals can be solved with relative
1" k_l.\,0 ease and transparency using cell-object-oriented constrained optimization in the ubiquitous spreadsheet platform.
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