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
` QW=<Le? Practical Probabilistic Slope Stability Analysis
O(D2F$VlL B. K. Low
d/~g3n>| Associate Professor, School of Civil & Environmental Engineering, Nanyang Technological University, Singapore
SR?(z 639798
Q[|*P ] w Abstract
(-&d0a9N A practical procedure is described for implementing Spencer’s method of slices with varying side force inclination.
?~yJ7~3TS< The search for the noncircular critical slip surface is accomplished using spreadsheet-automated constrained
E\;%,19Ob optimization. The deterministic formulation is then extended probabilistically to compute the Hasofer-Lind
3hUP>F8 reliability index via constrained optimization of the dispersion hyperellipsoid in the original space of the random
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\ variables. Reliability analyses involving spatially correlated normal and lognormal random variables are
lNWP9?X illustrated for an embankment on soft ground, with search for the reliability-based noncircular critical slip surface.
~#}T| The probabilities of failure and the probability density functions inferred from reliability indices are compared with
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Monte Carlo simulations. It is demonstrated that the hitherto complicated problems of locating noncircular critical
v+SdjFAY surface and reliability analysis involving implicit functions and correlated nonnormals can be solved with relative
pv-c>8Wb6 ease and transparency using cell-object-oriented constrained optimization in the ubiquitous spreadsheet platform.
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