Second-order reliability analysis of an energy pile with CPT data
Created by W.Langdon from
gp-bibliography.bib Revision:1.8414
- @Article{Kumar:2024:jobe,
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author = "Pramod Kumar and Pijush Samui and
Danial Jahed Armaghani and Sanjiban Sekhar Roy",
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title = "Second-order reliability analysis of an energy pile
with {CPT} data",
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journal = "Journal of Building Engineering",
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year = "2024",
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volume = "95",
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pages = "110165",
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keywords = "genetic algorithms, genetic programming",
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ISSN = "2352-7102",
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URL = "
https://www.sciencedirect.com/science/article/pii/S2352710224017339",
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DOI = "
doi:10.1016/j.jobe.2024.110165",
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abstract = "As pile foundations and ground source heat producers,
energy piles are becoming more and more popular. Even
after much research, engineers find their design to be
challenging. An effective way for using the
Second-Order Reliability method (SORM) in foundation
engineering scenarios including explicit limit state
functions is shown in this article. The suggested SORM
process is simple to implement in a spreadsheet and is
based on an approximate paraboloid fitted to the limit
state surface close to the design point. Using
well-established closed-form SORM formulae, the failure
probability is automatically determined using the
primary curvatures of the limit state surface and the
reliability index. An energy pile foundation
engineering design examples are analysed using the
proposed method and discussed. Comparison with FORM,
SORM and Genetic Programming (GP)-based FORM and SORM
are made. In the case of determination of group
capacity of pile and thermal load the input random
variables are qc0, qc1, qc2, fs and E. The reliability
index and probability of failure value are found to be
9.34 for FORM, 9.55 for SORM, 9.24 for GP-based FORM,
and 9.45 for GP-based SORM. The probability of failure
value for FORM 4.60E-21, SORM 3.24E-21, GP-based FORM
1.20E-20, and GP-based SORM is 8.50E-21. The relative
percentage error for the average second-order
approximation corresponding to FORM is also calculated,
and found that Pf2 is 29.48 percent in the case of
simple SORM and 29.15 percent in the case of GP-based
SORM. The Breitung provides the most accurate
estimation, and the Cai_Elishakoff provides the least
accurate estimate",
- }
Genetic Programming entries for
Pramod Kumar
Pijush Samui
Danial Jahed Armaghani
Sanjiban Sekhar Roy
Citations