Abstract
A penalty frame method is proposed for the coupled analysis of finite elements with independently modeled substructures. Although previously reported hybrid interface method by Aminpour et al (IJNME, Vol 38, 1995) is accurate and reliable, it requires non-conventional special solution algorithm such as multifrontal solver. In present study, an alternative method has been developed using penalty frame constraints, which results in positive symmetric global stiffness matrices. Thus the conventional skyline solver or band solver can be utilized in the solution routine, which makes the present method applicable in the environment of conventional finite element commercial software. Numerical examples show applicability of the present method.
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References
Aminpour, M. A. and Krishnamurthy. T., 1997, “A Two-dimensional Interface Element for Multi-domain Analysis of Independently Modeled Three-dimensional Finite Element Meshes,” AIAA Paper No. 97-1297, pp. 1853–1861. Aminpour, M. A., McCleary, S. L., Ransom, J.
B. and Housner, J. M., 1992, “A Global/Local Analysis Method for Treating Details in Structural Design,”ASME, Vol. 157, Adaptive Multilevel and Hierachical Computational Strategies, A. K. Noor(Ed.), pp. 119–137.
Aminpour, M. A., Ransom, J. B. and McCleary, S. L., 1995, “A Coupled Analysis Method for Structures with Independently Modelled Finite Element Subdomains,”Int. J. Nume. Meth. Eng., Vol. 38, pp. 3695–3718.
Farhat, C. and Geradin, M., 1992, “Using a Reduced Number of Lagrange Mulipliers for Assembling Parallel Incomplete Field Finete Element Aproximations,“Comput. Meths. Appi Mech. & Eng., pp. 333–354.
Farhat, C. and Roux, F. X., 1991, “A Method of Finite Element Tearing and Interconnecting and its Parallel Solution Algorithm,“Int. J. Nume. Meth. Eng., Vol. 32, No. 6, pp. 1205–1228.
Fish, J., 1992, “The S-version of the Finite Element Method,”Computers and Structures, Vol. 43, No. 3, pp. 173–180.
Krishnamurthy, T. and Raju, I. S., 1992, “An Independent Refinement and Integration Procedure in Multiregion Finite Element Analysis,“AIAA SDM Conference Proceeding, pp. 109–120.
Ransom, J. B., 1997, “Interface Technology for Geometrically Nonlinear Analysis of Multiple Connected Subdomains,“ AIAA Paper No. 97-1298, pp. 1862–1872.
Ransom, J. B., McCleary, S. L. and Aminpour, M. A., 1993, “A New Interface Element for Connecting Independently Modeled Substructures,” AIAA Paper No. 93-1503.
Robbins, D. H. Jr. and Reddy, J. N., 1992, “Global/Local Analysis of Laminated Composite Plates Using Variable Kinematic Finite Elements,“AIAA SDM Conference Proceeding, pp. 142–147.
Surana, K. S.. 1980, “Transition Finite Elements for Three-dimensional Stress Analysis,”Int. J. Nume. Meth. Eng., Vol. 15. pp. 991–1020.
Wang, J. T. and Ransom, J. B., 1997, “Application of Interface Technology in Nonlinear Analysis of a Stitched/RFI Composite Wing Stub Box,“ AIAA Paper No. 97-1190, pp. 2295–2310.
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Cho, M., Kim, W.B. A coupled finite element analysis of independently modeled substructures by penalty frame method. KSME International Journal 16, 1201–1210 (2002). https://doi.org/10.1007/BF02983826
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DOI: https://doi.org/10.1007/BF02983826