Application of the DOProC Method in Solving Reliability Problems

Abstract:

The Direct Optimized Probabilistic Calculation (DOProC) is originally developed as one way of solving probabilistic problems which don't use any simulation technique. DOProC is based on general terms and procedures used in probabilistic theories. Input random quantities (such as the load, geometry, material properties, or imperfections) are in DOProC method expressed by the parametric or empirical distribution in histograms. DOProC applications are processed in ProbCalc software, in which the calculation model under analysis can be expressed analytically as a sign arithmetic expression or can be expressed using code from the dynamic library. The method requires high-performing information systems for complex tasks. Therefore, efforts have been made to optimize calculations in order to reduce the number of operations, keeping, at the same time, reliable calculation results. The paper will also focus on other special software applications that are able to assess the reliability of bearing structures with respect to fatigue damage or underground works with anchors.

• Periodical: Applied Mechanics and Materials (Volume 821)
• Pages: 717-724
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.821.717
• Online since: January 2016
• Authors: Martin Krejsa*, Petr Janas, Vlastimil Krejsa
• Keywords: Anchor, Bolt Reinforcement, Direct Optimized Probabilistic Calculation, DOProC, Fatigue Crack Propagation, FCProbCalc, Probabilistic Methods, Probability of Failure, ProbCalc, Random Variables, Reliability Assessment

References

[1] R. Cajka and M. Krejsa, Measured data processing in civil structure using the DOProC method, Advanced Materials Research. 859, Trans Tech Publications, Switzerland (2014) 114-121, DOI: 10. 4028/www. scientific. net/AMR. 859. 114.

DOI: 10.4028/www.scientific.net/amr.859.114

[2] P. Janas, M. Krejsa and V. Krejsa, Structural reliability assessment using a Direct Determined Probabilistic Calculation, in: Proceedings of the 12th Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp Press (2009).

DOI: 10.4203/ccp.91.72

[3] P. Janas, M. Krejsa and V. Krejsa, Using the Direct Determined Fully Probabilistic Method for determination of failure, in: European Safety and Reliability Conference ESREL 2009, Reliability, Risk and Safety: Theory and Applications. Taylor & Francis Group, London (2010).

DOI: 10.1201/9780203859759.ch203

[4] P. Janas and M. Krejsa, Statistical Dependence of Input Variables in DOProc Method, Transactions of the VSB - Technical University of Ostrava, Civil Engineering Series. 12, Issue 2 (2012) 48-58, ISSN: 1804-4824, DOI: 10. 2478/v10160-012-0017-3.

DOI: 10.2478/v10160-012-0017-3

[5] P. Janas, M. Krejsa, V. Krejsa and R. Bris, Structural reliability assessment using Direct Optimized Probabilistic Calculation with respect to the statistical dependence of input variables, in: Proceedings of 25th annual of the European Safety and Reliability Association Conference ESREL, 7-10 September 2015, Zurich, Switzerland (2015).

DOI: 10.1201/b19094-540

[6] P. Janas, R. Snuparek, M. Krejsa and V. Krejsa, Designing of Anchoring Reinforcement in Underground Workings Using DOProC Method, Transactions of the VSB - Technical University of Ostrava, Civil Engineering Series. 10, Issue 2 (2010).

DOI: 10.2478/v10160-010-0020-5

[7] M. Krejsa, Stochastic Modelling of Fatigue Crack Progression using the DOProC Method, in: Proceedings of the 11th International Conference on Computational Structures Technology, CivilComp Press (2012) DOI: 10. 4203/ccp. 99. 113.

DOI: 10.4203/ccp.99.113

[8] M. Krejsa, Probabilistic Calculation of Fatigue Crack Progression Using FCProbCalc Code, Transactions of the VSB - Technical University of Ostrava, Civil Engineering Series. 12, Issue 1 (2012).

DOI: 10.2478/v10160-012-0003-9

[9] M. Krejsa, P. Janas and R. Cajka, Using DOProC Method in Structural Reliability Assessment, Applied Mechanics and Materials. 300-301, Trans Tech Publications, Switzerland (2013) 860- 869, DOI: 10. 4028/www. scientific. net/AMM. 300-301. 860.

DOI: 10.4028/www.scientific.net/amm.300-301.860

[10] M. Krejsa, Probabilistic failure analysis of steel structures exposed to fatigue, Key Engineering Materials. 577-578, Trans Tech Publications, Switzerland (2013) 101-104, DOI: 10. 4028/www. scientific. net/KEM. 577-578. 101.

DOI: 10.4028/www.scientific.net/kem.577-578.101

[11] M. Krejsa, P. Janas, I. Yilmaz, M. Marschalko and T. Bouchal, The Use of the Direct Optimized Probabilistic Calculation Method in Design of Bolt Reinforcement for Underground and Mining Workings, Scientific World Journal. 2013 (2013).

DOI: 10.1155/2013/267593

[12] M. Krejsa, Probabilistic reliability assessment of steel structures exposed to fatigue, Safety, Reliability and Risk Analysis: Beyond the Horizon, CRC Press-Taylor & Francis Group (2014).

DOI: 10.1201/b15938-404

[13] M. Krejsa, P. Janas and V. Krejsa, Software Application of the DOProC Method, International Journal of Mathematics and Computers in Simulation. 8, Issue 1 (2014) 121-126, ISSN: 1998- 0159.

[14] M. Krejsa, P. Janas and V. Krejsa, ProbCalc - An efficient tool for probabilistic calculations, Advanced Materials Research. 969, Trans Tech Publications, Switzerland (2014) 302-307, DOI: 10. 4028/www. scientific. net/AMR. 969. 302.

DOI: 10.4028/www.scientific.net/amr.969.302

[15] M. Krejsa and J. Kralik, Probabilistic Computational Methods in Structural Failure Analysis, in: Proceedings of 14th International Conference on Fracture and Damage Mechanics, 21-23 September 2015, Montenegro (2015) submitted.

[16] M. Krejsa and V. Tomica, Determination of Inspections of Structures Subject to Fatigue, Transactions of the VSB - Technical University of Ostrava, Civil Engineering Series. 11, Issue 1 (2011) 1-9, ISSN: 1804-4824, DOI: 10. 2478/v10160-011-0007-x.

DOI: 10.2478/v10160-011-0007-x