Derivation of the Probability Density Functions for the Local Joint Flexibility Factors in Axially Loaded Two-Planar Tubular DK-Joints of Offshore Structures

Article

Ahmadi, Hamid and Mayeli, Vahid. 2023. "Derivation of the Probability Density Functions for the Local Joint Flexibility Factors in Axially Loaded Two-Planar Tubular DK-Joints of Offshore Structures." Journal of Civil and Environmental Engineering. 53 (1), pp. 161-174. https://doi.org/10.22034/CEEJ.2023.33431.1788
Article Title

Derivation of the Probability Density Functions for the Local Joint Flexibility Factors in Axially Loaded Two-Planar Tubular DK-Joints of Offshore Structures

Article CategoryArticle
AuthorsAhmadi, Hamid (Author) and Mayeli, Vahid (Author)
Journal TitleJournal of Civil and Environmental Engineering
Journal Citation53 (1), pp. 161-174
Number of Pages14
Year2023
Place of PublicationIran
ISSN2717-4077
2008-7918
Digital Object Identifier (DOI)https://doi.org/10.22034/CEEJ.2023.33431.1788
Web Address (URL)https://ceej.tabrizu.ac.ir/article_16333.html?lang=en
Abstract

Probability density functions of the involved random variables are essential for the reliability-based design of offshore structures. The objective of present research was the derivation of probability density function (PDF) for the local joint flexibility (LJF) factor, fLJF, in two-planar tubular DK-joints commonly found in jacket-type offshore structures. A total of 162 finite element (FE) analyses were carried out on 81 FE models of DK-joints subjected to two types of axial loading. Generated FE models were validated using available experimental data, FE results, and design formulas. Based on the results of parametric FE study, a sample database was prepared for the fLJF values and density histograms were generated for respective samples based on the Freedman-Diaconis rule. Nine theoretical PDFs were fitted to the developed histograms and the maximum likelihood (ML) method was applied to evaluate the parameters of fitted PDFs. In each case, the Kolmogorov-Smirnov and chi-squared tests were used to evaluate the goodness of fit. Finally, the Inverse Gaussian model was proposed as the governing probability distribution function for the fLJF. After substituting the values of estimated parameters, two fully defined PDFs were presented for the fLJF in tubular DK-joints subjected to two types of axial loading.

KeywordsTubular DK-joint, LJF factor, Probability density function (PDF), Inverse Gaussian model, Goodness-of-fit test
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020401504. Ship and platform structures (incl. maritime hydrodynamics)
400510. Structural engineering
490501. Applied statistics
Byline AffiliationsUniversity of Tabriz, Iran
Institution of OriginUniversity of Southern Queensland
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Nassiraei, Hossein, Lotfollahi-Yaghin, Mohammad Ali and Ahmadi, Hamid. 2016. "Static strength of offshore tubular T/Y-joints reinforced with collar plate subjected to tensile brace loading." Thin-Walled Structures. 103, pp. 141-156. https://doi.org/10.1016/j.tws.2016.02.010
Parametric Study on the Effects of Pile Inclination Angle on the Response of Batter Piles in Offshore Jacket Platforms
Aminfar, Ali, Ahmadi, Hamid and Aminfar, Mohammad Hossein. 2016. "Parametric Study on the Effects of Pile Inclination Angle on the Response of Batter Piles in Offshore Jacket Platforms." Journal of Marine Science and Application. 15, pp. 193-200. https://doi.org/10.1007/s11804-016-1355-9
Static strength of collar plate reinforced tubular T/Y-joints under brace compressive loading
Nassiraei, Hossein, Lotfollahi-Yaghin, Mohammad Ali and Ahmadi, Hamid. 2016. "Static strength of collar plate reinforced tubular T/Y-joints under brace compressive loading." Journal of Constructional Steel Research. 119, pp. 39-49. https://doi.org/10.1016/j.jcsr.2015.12.011
Probabilistic analysis of stress concentration factors in tubular KT-joints reinforced with internal ring stiffeners under in-plane bending loads
Ahmadi, Hamid, Yeganeh, Ali, Mohammadi, Amir Hossain and Zavvar, Esmaeil. 2016. "Probabilistic analysis of stress concentration factors in tubular KT-joints reinforced with internal ring stiffeners under in-plane bending loads." Thin-Walled Structures. 99, pp. 58-75. https://doi.org/10.1016/j.tws.2015.11.010
Comparing the geodetical and geotechnical methods in investigating the deformation of earthfill dams; A case study of Mahabad Earthfill Dam, Iran
Aminfar, M. H., Rastbud, A., Ahmadi, H. and Naseri, A.. 2016. "Comparing the geodetical and geotechnical methods in investigating the deformation of earthfill dams; A case study of Mahabad Earthfill Dam, Iran." Journal of Engineering Science and Technology. 11 (4), pp. 619-637.
Probability density functions of SCFs in internally ring-stiffened tubular KT-joints of offshore structures subjected to axial loading
Ahmadi, Hamid, Mohammadi, A. and Yeganeh, Ali. 2015. "Probability density functions of SCFs in internally ring-stiffened tubular KT-joints of offshore structures subjected to axial loading." Thin-Walled Structures. 94, pp. 485-499. https://doi.org/10.1016/j.tws.2015.05.012
Degree of bending (DoB) in tubular K-joints of offshore structures subjected to in-plane bending (IPB) loads: Study of geometrical effects and parametric formulation
Ahmadi, Hamid, Lotfollahi-Yaghin, Mohammad Ali and Asoodeh, Shadi. 2015. "Degree of bending (DoB) in tubular K-joints of offshore structures subjected to in-plane bending (IPB) loads: Study of geometrical effects and parametric formulation." Ocean Engineering. 102, pp. 105-116. https://doi.org/10.1016/j.oceaneng.2015.04.050
Stress concentration due to in-plane bending (IPB) loads in ring-stiffened tubular KT-joints of offshore structures: Parametric study and design formulation
Ahmadi, Hamid and Lotfollahi-Yaghin, Mohammad Ali. 2015. "Stress concentration due to in-plane bending (IPB) loads in ring-stiffened tubular KT-joints of offshore structures: Parametric study and design formulation." Applied Ocean Research. 51, pp. 54-66. https://doi.org/10.1016/j.apor.2015.02.009
Stress concentration factors induced by out-of-plane bending loads in ring-stiffened tubular KT-joints of jacket structures
Ahmadi, Hamid and Zavvar, Esmaeil. 2015. "Stress concentration factors induced by out-of-plane bending loads in ring-stiffened tubular KT-joints of jacket structures." Thin-Walled Structures. 91, pp. 82-95. https://doi.org/10.1016/j.tws.2015.02.011
Probabilistic analysis of stress intensity factor (SIF) and degree of bending (DoB) in axially loaded tubular K-joints of offshore structures
Ahmadi, Hamid and Ghaffari, Amirreza. 2015. "Probabilistic analysis of stress intensity factor (SIF) and degree of bending (DoB) in axially loaded tubular K-joints of offshore structures." Latin American Journal of Solids and Structures. 12 (11), pp. 2025-2044. https://doi.org/10.1590/1679-78251698
Probabilistic Assessment of Degree of Bending in Tubular X-Joints of Offshore Structures Subjected to Bending Loads
Ahmadi, Hamid and Ghaffari, Amirreza. 2015. "Probabilistic Assessment of Degree of Bending in Tubular X-Joints of Offshore Structures Subjected to Bending Loads." Advances in Civil Engineering. 2015, pp. 1-13. https://doi.org/10.1155/2015/518450
Chord-side SCF distribution of central brace in internally ring-stiffened tubular KT-joints: A geometrically parametric study
Ahmadi, Hamid, Lotfollahi-Yaghin, Mohammad Ali and Yong-Bo, Shao. 2013. "Chord-side SCF distribution of central brace in internally ring-stiffened tubular KT-joints: A geometrically parametric study." Thin-Walled Structures. 70, pp. 93-105. https://doi.org/10.1016/j.tws.2013.04.011
Effect of SCFs on S-N based fatigue reliability of multi-planar tubular DKT-joints of offshore jacket-type structures
Ahmadi, Hamid and Lotfollahi-Yaghin, Mohammad Ali. 2013. "Effect of SCFs on S-N based fatigue reliability of multi-planar tubular DKT-joints of offshore jacket-type structures." Ships and Offshore Structures. 8 (1), pp. 55-72. https://doi.org/10.1080/17445302.2011.627750
Parametric study and formulation of outer-brace geometric stress concentration factors in internally ring-stiffened tubular KT-joints of offshore structures
Ahmadi, Hamid, Lotfollahi-Yaghin, Mohammad Ali, Yong-Bo, Shao and Aminfar, Mohammad H.. 2012. "Parametric study and formulation of outer-brace geometric stress concentration factors in internally ring-stiffened tubular KT-joints of offshore structures." Applied Ocean Research. 38, pp. 74-91. https://doi.org/10.1016/j.apor.2012.07.004
The development of fatigue design formulas for the outer brace SCFs in offshore three-planar tubular KT-joints
Ahmadi, Hamid, Lotfollahi-Yaghin, Mohammad Ali and Aminfar, Mohammad H.. 2012. "The development of fatigue design formulas for the outer brace SCFs in offshore three-planar tubular KT-joints." Thin-Walled Structures. 58, pp. 67-78. https://doi.org/10.1016/j.tws.2012.04.011
Slamming induced dynamic response of a floating structure
Lotfollahi-Yaghin, Mohammad Ali, Rastgar, Mehdi and Ahmadi, Hamid. 2012. "Slamming induced dynamic response of a floating structure." Journal of Marine Science and Technology (Taiwan). 20 (2), pp. 201-209. https://doi.org/10.51400/2709-6998.1839
A probability distribution model for stress concentration factors in multi-planar tubular DKT-joints of steel offshore structures
Ahmadi, Hamid and Lotfollahi-Yaghin, Mohammad Ali. 2012. "A probability distribution model for stress concentration factors in multi-planar tubular DKT-joints of steel offshore structures." Applied Ocean Research. 34, pp. 21-32. https://doi.org/10.1016/j.apor.2011.11.002
Geometrically parametric study of central brace SCFs in offshore three-planar tubular KT-joints
Ahmadi, Hamid and Lotfollahi-Yaghin, Mohammad Ali. 2012. "Geometrically parametric study of central brace SCFs in offshore three-planar tubular KT-joints." Journal of Constructional Steel Research. 71, pp. 149-161. https://doi.org/10.1016/j.jcsr.2011.10.024
Effect of stress concentration factors on the structural integrity assessment of multi-planar offshore tubular DKT-joints based on the fracture mechanics fatigue reliability approach
Ahmadi, Hamid, Lotfollahi-Yaghin, Mohammad Ali and Aminfar, Mohammad H.. 2011. "Effect of stress concentration factors on the structural integrity assessment of multi-planar offshore tubular DKT-joints based on the fracture mechanics fatigue reliability approach." Ocean Engineering. 38 (17-18), pp. 1883-1893. https://doi.org/10.1016/j.oceaneng.2011.08.004
Distribution of weld toe stress concentration factors on the central brace in two-planar CHS DKT-connections of steel offshore structures
Ahmadi, Hamid, Lotfollahi-Yaghin, Mohammad Ali and Aminfar, Mohammad H.. 2011. "Distribution of weld toe stress concentration factors on the central brace in two-planar CHS DKT-connections of steel offshore structures." Thin-Walled Structures. 49 (10), pp. 1225-1236. https://doi.org/10.1016/j.tws.2011.06.001
Geometrical effect on SCF distribution in uni-planar tubular DKT-joints under axial loads
Ahmadi, Hamid, Lotfollahi-Yaghin, Mohammad Ali and Aminfar, Mohammad H.. 2011. "Geometrical effect on SCF distribution in uni-planar tubular DKT-joints under axial loads." Journal of Constructional Steel Research. 67 (8), pp. 1282-1291. https://doi.org/10.1016/j.jcsr.2011.03.011
Geometric stress distribution along the weld toe of the outer brace in two-planar tubular DKT-joints: Parametric study and deriving the SCF design equations
Lotfollahi-Yaghin, Mohammad Ali and Ahmadi, Hamid. 2011. "Geometric stress distribution along the weld toe of the outer brace in two-planar tubular DKT-joints: Parametric study and deriving the SCF design equations." Marine Structures. 24 (3), pp. 239-260. https://doi.org/10.1016/j.marstruc.2011.02.005
Geometrical Parametric Study and Development of Design Formulae for the SCF Distribution Along the Weld Toe in Multi-Planar CHS DKT-Connections of Offshore Structures
Lotfollahi-Yaghin, Mohammad Ali, Ahmadi, Hamid and Shahverdi, Sajad. 2011. "Geometrical Parametric Study and Development of Design Formulae for the SCF Distribution Along the Weld Toe in Multi-Planar CHS DKT-Connections of Offshore Structures ." ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. Rotterdam, The Netherlands 19 - 24 Jun 2011 American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/OMAE2011-49121
Effect of geometrical parameters on SCF distribution along the weld toe of tubular KT-joints under balanced axial loads
Lotfollahi-Yaghin, Mohammad Ali and Ahmadi, Hamid. 2010. "Effect of geometrical parameters on SCF distribution along the weld toe of tubular KT-joints under balanced axial loads." International Journal of Fatigue. 32 (4), pp. 703-719. https://doi.org/10.1016/j.ijfatigue.2009.10.008
Dynamic behaviour of damaged reinforced concrete beams and application of white noise analysis to crack detection
Lotfollahi-Yaghin, M.A., Shahinpar, R. and Ahmadi, H.. 2009. "Dynamic behaviour of damaged reinforced concrete beams and application of white noise analysis to crack detection." Journal of the South African Institution of Civil Engineering. 51 (2), pp. 2-10.