Define the stochastic model
Describe input random variables using experimental data, characteristic values or normative documents. SEMIP can efficiently recalculate quantiles and statistical moments from the available data.
01 / Overview
From stochastic models to design values
SEMIP is a standalone software tool containing state-of-the-art semi-probabilistic methods for estimating the coefficient of variation of a quantity of interest, together with normative methods implemented in Eurocode for the design and assessment of structures using nonlinear finite element analysis.
The software provides three functions: defining a stochastic model from experiments or normative documents, estimating the coefficient of variation using probabilistic methods, and comparing resistance design values obtained by different techniques.
02 / Workflow
Three stages of analysis
Estimate statistical moments
Estimate the statistical moments of structural resistance using probabilistic techniques, including Taylor Series Expansion and Numerical Quadrature.
Compare design values
Determine resistance design values that satisfy specified safety requirements using different techniques, then compare and visualize the results in high-definition graphs.
Project acknowledgment. The original SEMIP page states: “The software PCE-UQ was developed with financial support of Technology Agency of the Czech Republic under project No. TH04010138.” This acknowledgment is reproduced as written on the source page; it refers specifically to PCE-UQ.
03 / Theory
Selected scientific papers
- L. Novák and D. Novák, “On Taylor Series Expansion for Statistical Moments of Functions of Correlated Random Variables,” Symmetry, volume 12, 2020. ISSN: 2073-8994.
- L. Novák and D. Novák, “Safety format for non-linear analysis with correlated material characteristics,” AIP Conference Proceedings. New York: American Institute of Physics, 2019, pp. 1–4. ISBN: 978-0-7354-1854-7. ISSN: 0094-243X.
- L. Novák, D. Novák and R. Pukl, “Probabilistic and semi-probabilistic design of large concrete beams failing in shear,” in Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications. London: Taylor & Francis Group, CRC Press, 2019. ISBN: 9781138386969.
- D. Novák, L. Novák, O. Slowik and A. Strauss, “Prestressed concrete roof girders: Part III – Semi-probabilistic design,” in Proceedings of the Sixth International Symposium on Life-Cycle Civil Engineering (IALCCE 2018). London: CRC Press, Taylor & Francis Group, 2018, pp. 510–517. ISBN: 9781138626331.
04 / Application
Structural resistance
SEMIP supports nonlinear finite element assessment and design of structures, including comparison of probabilistic and semi-probabilistic approaches to resistance.
