These findings may provide a useful reference for the reliability-based seismic design of tunnels. The results also show that the soil parameter uncertainty can be properly considered by introducing a factor of safety. The distribution type effect increases sharply for the cases with high variation degrees, and the lognormal distribution generally predicts a lower mean, standard deviation, and probability of exceedance.
#Matlab latin hypercube sampling code code#
The influence of shear strength parameters is insignificant, despite a slightly larger standard deviation appears for the positive correlation. I wrote some code to generate Latin hypercube samples for interpolation over high-dimensional parameter spaces. Increased motion intensity leads to an increased standard deviation, especially for flexible tunnels. computer analysis codes and provided recommendations for their. The results indicate that the parameter uncertainty can have a significant impact on tunnel seismic deformations. Keywords: Latin hypercube sampling, Optimization, Surrogate model, Cross-validation. LHS can be incorporated into an existing Monte Carlo model fairly easily, and. The Latin Hypercube Sampling is constructed using a.
![matlab latin hypercube sampling code matlab latin hypercube sampling code](https://datasciencegenie.com/wp-content/uploads/2020/05/SamplingLHS2-1.png)
![matlab latin hypercube sampling code matlab latin hypercube sampling code](https://www.sfu.ca/~ssurjano/boreholelc2.png)
The method commonly used to reduce the number or runs necessary for a Monte Carlo simulation to achieve a reasonably accurate random distribution. The integration code is now instan- tiated with flat arrays of sampled values. In this study, we propose a new strategy, called Progressive Latin Hypercube Sampling (PLHS), which sequentially generates sample points while progressively. Analyses are performed for a wide range of soil shear wave velocities, ground motion intensities, lining Young’s moduli, correlation structures, distribution types, and coefficients of variation. Latin hypercube sampling (LHS) is a form of stratified sampling that can be applied to multiple variables. XLHSDESIGNCON (N,P,LB,UB,ISEXP) generates a latin hypercube sample X containing N values on each of P variables. Two-dimensional nonlinear finite difference models combined with the Monte Carlo simulation are employed to assess the influence of parameter uncertainty. MATLAB Function Description and Examples Generate an NxP latin hypercube sample with bounds and linear constraints and optional exponential distribution. Opposite to traditionally performed deterministic analysis, this paper introduces stochastic dynamic time-history analysis to quantify the variability of seismic-induced tunnel deformations in a probabilistic framework.
![matlab latin hypercube sampling code matlab latin hypercube sampling code](https://jp.mathworks.com/help/sldo/ug/sa_parameters_scatterplot.png)
Tunnel damages are increasing worldwide in major earthquakes, some of which may result from the underestimated seismic actions and uncertainties associated with the design parameters.