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10-10-2019

Derivation of Elastic Constants for Orthotropic Plates

Authors: Nikola Momčilović, Milorad Motok, Tasko Maneski

Published in: International Journal of Steel Structures

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Abstract

The paper presents a procedure for modeling an orthotropic thin plate finite element so to have an equivalent structural response as the steel stiffened plate of same overall dimensions. New, equivalent element, homogenizes the structural properties of plates and stiffeners in element’s stiffness matrix. By use of such elements, a significant reduction in overall size of a global finite element model of large stiffened panel structures could be achieved. The algorithm of proposed procedure is fully explained and, as an example, applied to a standard global model of steel ship hull structure. Structural response comparison is made between reduced model made of newly defined thin finite elements and conventional ones. Advantages are emphasized and remedies of some recognized shortcomings are suggested.

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Literature
go back to reference ABS. (2014). Guidance notes on Safehull finite elements analysis of hull structures. Houston, TX: American Bureau of Shipping. ABS. (2014). Guidance notes on Safehull finite elements analysis of hull structures. Houston, TX: American Bureau of Shipping.
go back to reference ABS. (2018). Rules for building and classing, Steel Vessels, part 5A&5B. Houston, TX: American Bureau of Shipping. ABS. (2018). Rules for building and classing, Steel Vessels, part 5A&5B. Houston, TX: American Bureau of Shipping.
go back to reference Ashton, J. E., & Whitney, M. J. (1970). Theory of laminated plates. Stamford, CT: Technomic. Ashton, J. E., & Whitney, M. J. (1970). Theory of laminated plates. Stamford, CT: Technomic.
go back to reference Bhaskar, K., & Pydah, A. (2014). An elasticity approach for simply-supported isotropic and orthotropic stiffened plates. International Journal of Mechanical Sciences,89, 21–30.CrossRef Bhaskar, K., & Pydah, A. (2014). An elasticity approach for simply-supported isotropic and orthotropic stiffened plates. International Journal of Mechanical Sciences,89, 21–30.CrossRef
go back to reference Chen, J.-P., Tang, W.-Y., & Xu, M.-P. (2015). A numerical method of the ship structures analysis based on meshless local Petrov-Galerkin method. International Journal of Steel Structures,15(4), 777–783.CrossRef Chen, J.-P., Tang, W.-Y., & Xu, M.-P. (2015). A numerical method of the ship structures analysis based on meshless local Petrov-Galerkin method. International Journal of Steel Structures,15(4), 777–783.CrossRef
go back to reference Colville, J., & Abbassi, J. (1974). Plane stress reinforced concrete finite elements. Journal of Structural division,100(5), 1067–1083. Colville, J., & Abbassi, J. (1974). Plane stress reinforced concrete finite elements. Journal of Structural division,100(5), 1067–1083.
go back to reference DNV-GL. (2015). Finite element analysis, class guideline, of the rules for classification, Part 3—Hull. Oslo, Norway: Det Norske Veritas. DNV-GL. (2015). Finite element analysis, class guideline, of the rules for classification, Part 3—Hull. Oslo, Norway: Det Norske Veritas.
go back to reference Fujikubo, M. (2005). Structural analysis for the design of VLFS. Marine Structures,18(2), 201–226.CrossRef Fujikubo, M. (2005). Structural analysis for the design of VLFS. Marine Structures,18(2), 201–226.CrossRef
go back to reference Fujikubo, M., & Kaeding, P. (2002). New simplified approach to collapse analysis of stiffened plates. Marine Structures,15(3), 251–283.CrossRef Fujikubo, M., & Kaeding, P. (2002). New simplified approach to collapse analysis of stiffened plates. Marine Structures,15(3), 251–283.CrossRef
go back to reference Hughes, O., & Paik, J. K. (2010). Ship structural analysis and design. Jersey City, NJ: SNAME. Hughes, O., & Paik, J. K. (2010). Ship structural analysis and design. Jersey City, NJ: SNAME.
go back to reference IACS. (2015). Common structural rules for bulk carriers and oil tankers. London: IACS. IACS. (2015). Common structural rules for bulk carriers and oil tankers. London: IACS.
go back to reference Kumar, Y. V. S., & Mukhopadhya, M. (2000a). A new triangular stiffened plate element for laminate analysis. Composites Science and Technology,60(6), 935–943.CrossRef Kumar, Y. V. S., & Mukhopadhya, M. (2000a). A new triangular stiffened plate element for laminate analysis. Composites Science and Technology,60(6), 935–943.CrossRef
go back to reference Kumar, Y. V. S., & Mukhopadhya, M. (2000b). Finite element analysis of ship structures using a new stiffened plate element. Applied Ocean Research,22(6), 361–374.CrossRef Kumar, Y. V. S., & Mukhopadhya, M. (2000b). Finite element analysis of ship structures using a new stiffened plate element. Applied Ocean Research,22(6), 361–374.CrossRef
go back to reference LR. (2017). Classification of ships—Rules and regulations. London: Lloyd Register. LR. (2017). Classification of ships—Rules and regulations. London: Lloyd Register.
go back to reference Mansour, A., & Liu, D. (2008). Strength of ships and ocean structures (the principles of naval architecture series). Jersey City, NJ: SNAME. Mansour, A., & Liu, D. (2008). Strength of ships and ocean structures (the principles of naval architecture series). Jersey City, NJ: SNAME.
go back to reference Nagiar, H., Maneski, T., Milosevic-Mitic, V., Gacesa, B., & Andjelic, N. (2013). Modeling of the buckstay system of membrane-walls in water tube boiler construction. Thermal Science,17(1), 57–70.CrossRef Nagiar, H., Maneski, T., Milosevic-Mitic, V., Gacesa, B., & Andjelic, N. (2013). Modeling of the buckstay system of membrane-walls in water tube boiler construction. Thermal Science,17(1), 57–70.CrossRef
go back to reference Oh, C.-K., Hong, J.-K., Bae, D., Do, H., & Han, T. (2011). Analytical and experimental studies on optimal details of orthotropic steel decks for long span bridges. International Journal of Steel Structures,11(2), 227–234.CrossRef Oh, C.-K., Hong, J.-K., Bae, D., Do, H., & Han, T. (2011). Analytical and experimental studies on optimal details of orthotropic steel decks for long span bridges. International Journal of Steel Structures,11(2), 227–234.CrossRef
go back to reference Okumoto, Y., Takeda, Y., Mano, M., & Okada, T. (2009). Design of stiffened panel. Berlin: Springer.CrossRef Okumoto, Y., Takeda, Y., Mano, M., & Okada, T. (2009). Design of stiffened panel. Berlin: Springer.CrossRef
go back to reference Paik, J. K. (1993). ALPS/ISUM: A computer program for nonlinear analysis of large plated structures using the idealized structural unit method. Pusan: Pusan National University. Paik, J. K. (1993). ALPS/ISUM: A computer program for nonlinear analysis of large plated structures using the idealized structural unit method. Pusan: Pusan National University.
go back to reference Paik, J. K. & Thayamballi, A. K. (2003). Ultimate limit state design of steel plated structures. NJ: Wiley. Paik, J. K. & Thayamballi, A. K. (2003). Ultimate limit state design of steel plated structures. NJ: Wiley.
go back to reference Paik, J. K., Thayamballi, A. K., Pedersen, P. T., & Park, Y. I. (2001). Ultimate strength of ship hulls under torsion. Ocean Engineering.,28(8), 1097–1133.CrossRef Paik, J. K., Thayamballi, A. K., Pedersen, P. T., & Park, Y. I. (2001). Ultimate strength of ship hulls under torsion. Ocean Engineering.,28(8), 1097–1133.CrossRef
go back to reference Penga, L. X., Kitipornchaia, S., & Liew, K. M. (2005). Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method. International Journal of Mechanical Sciences,47(2), 251–276.CrossRef Penga, L. X., Kitipornchaia, S., & Liew, K. M. (2005). Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method. International Journal of Mechanical Sciences,47(2), 251–276.CrossRef
go back to reference Rigo, P., & Rizzutto, E. (2003). Analysis and design of ship structure, Ch. 18. In T. Lamb (Ed.), Ship design and construction (Vol. I). New Jersey, NY: SNAME. Rigo, P., & Rizzutto, E. (2003). Analysis and design of ship structure, Ch. 18. In T. Lamb (Ed.), Ship design and construction (Vol. I). New Jersey, NY: SNAME.
go back to reference Sertic, J., Gelo, I., Kozak, D., Damjanovic, D., & Konjatic, P. (2013). Theoretical determination of elasticity constants for steam boiler membrane wall as the structurally orthotropic plate. Technical Gazette,20(4), 697–703. Sertic, J., Gelo, I., Kozak, D., Damjanovic, D., & Konjatic, P. (2013). Theoretical determination of elasticity constants for steam boiler membrane wall as the structurally orthotropic plate. Technical Gazette,20(4), 697–703.
go back to reference Taig, G., & Ranzi, G. (2014). Generalised beam theory (GBT) for stiffened sections. International Journal of Steel Structures,14(2), 1–12.CrossRef Taig, G., & Ranzi, G. (2014). Generalised beam theory (GBT) for stiffened sections. International Journal of Steel Structures,14(2), 1–12.CrossRef
go back to reference Temami, O., Ayoub, A., Hamadi, D., & Bennoui, I. (2018). Effect of boundary conditions on the behavior of stiffened and un-stiffened cylindrical shells. International Journal of Steel Structures,19, 1–12. Temami, O., Ayoub, A., Hamadi, D., & Bennoui, I. (2018). Effect of boundary conditions on the behavior of stiffened and un-stiffened cylindrical shells. International Journal of Steel Structures,19, 1–12.
go back to reference Timoshenko, S., & Woinowsky-Krieger, S. (1959). Theory of plates and shells. New York, NY: McGraw-Hill.MATH Timoshenko, S., & Woinowsky-Krieger, S. (1959). Theory of plates and shells. New York, NY: McGraw-Hill.MATH
go back to reference Tingleff, A. (1973). Method for simulating concentrated forces and local reinforcement in stress computation. Mathematics of finite elements and applications (pp. 463–470). London: Academic Press.MATH Tingleff, A. (1973). Method for simulating concentrated forces and local reinforcement in stress computation. Mathematics of finite elements and applications (pp. 463–470). London: Academic Press.MATH
go back to reference Ueda, Y., & Rashed, S. M. H. (1975). An ultimate transverse strength analysis of ship structures. Journal of Society of Naval Architects of Japan,136, 87–104. Ueda, Y., & Rashed, S. M. H. (1975). An ultimate transverse strength analysis of ship structures. Journal of Society of Naval Architects of Japan,136, 87–104.
go back to reference Veritas, B. (2018). Rules for the classification of steel ships. Part B—Hull and stability. Paris: Bureau Veritas. Veritas, B. (2018). Rules for the classification of steel ships. Part B—Hull and stability. Paris: Bureau Veritas.
Metadata
Title
Derivation of Elastic Constants for Orthotropic Plates
Authors
Nikola Momčilović
Milorad Motok
Tasko Maneski
Publication date
10-10-2019
Publisher
Korean Society of Steel Construction
Published in
International Journal of Steel Structures
Print ISSN: 1598-2351
Electronic ISSN: 2093-6311
DOI
https://doi.org/10.1007/s13296-019-00284-6

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