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
^ G{3x Practical Probabilistic Slope Stability Analysis
{20^abUAS B. K. Low
A P><l@ Associate Professor, School of Civil & Environmental Engineering, Nanyang Technological University, Singapore
+_uT1Ps BY 639798
W[A;VOj0$ Abstract
djV^A A practical procedure is described for implementing Spencer’s method of slices with varying side force inclination.
fB[I1Z The search for the noncircular critical slip surface is accomplished using spreadsheet-automated constrained
a G Q C optimization. The deterministic formulation is then extended probabilistically to compute the Hasofer-Lind
uWR\# D' reliability index via constrained optimization of the dispersion hyperellipsoid in the original space of the random
>6 [{\uPK variables. Reliability analyses involving spatially correlated normal and lognormal random variables are
zzi%r=%r& illustrated for an embankment on soft ground, with search for the reliability-based noncircular critical slip surface.
Px&*&^Gf[b The probabilities of failure and the probability density functions inferred from reliability indices are compared with
g$e b@0$ Monte Carlo simulations. It is demonstrated that the hitherto complicated problems of locating noncircular critical
{:c*- +? surface and reliability analysis involving implicit functions and correlated nonnormals can be solved with relative
O-6848iCX ease and transparency using cell-object-oriented constrained optimization in the ubiquitous spreadsheet platform.
[ 此帖被lovekk在2010-10-20 19:25重新编辑 ]
