Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
권호 표지
DOI QR코드

DOI QR Code

DEVELOPMENT OF AN IMPROVED THREE-DIMENSIONAL STATIC AND DYNAMIC STRUCTURAL ANALYSIS BASED ON FETI-LOCAL METHOD WITH PENALTY TERM

  • KIM, SEIL (DEPARTMENT OF MECHANICAL AND AEROSPACE ENGINEERING, SEOUL NATIONAL UNIVERSITY) ;
  • JOO, HYUNSHIG (DEPARTMENT OF MECHANICAL AND AEROSPACE ENGINEERING, SEOUL NATIONAL UNIVERSITY) ;
  • CHO, HAESEONG (BK21 PLUS TRANSFORMATIVE TRAINING PROGRAM FOR CREATIVE MECHANICAL, INSTITUTE OF ADVANCED MACHINES AND DESIGN, SEOUL NATIONAL UNIVERSITY) ;
  • SHIN, SANGJOON (DEPARTMENT OF MECHANICAL AND AEROSPACE ENGINEERING, INSTITUTE OF ADVANCED AEROSPACE TECHNOLOGY)
  • Received : 2017.06.29
  • Accepted : 2017.09.14
  • Published : 2017.09.25
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, development of the three-dimensional structural analysis is performed by applying FETI-local method. In the FETI-local method, the penalty term is added as a preconditioner. The OPT-DKT shell element is used in the present structural analysis. Newmark-${\beta}$ method is employed to conduct the dynamic analysis. The three-dimensional FETI-local static structural analysis is conducted. The contour and the displacement of the results are compared following the different number of sub-domains. The computational time and memory usage are compared with respect to the number of CPUs used. The three-dimensional dynamic structural analysis is conducted while applying FETI-local method. The present results show appropriate scalability in terms of the computational time and memory usage. It is expected to improve the computational efficiency by combining the advantages of the original FETI method, i.e., FETI-mixed using the mixed local-global Lagrange multiplier.

Keywords

References

  1. Kwak, J. Y., Chun, T. Y., Shin, S. J., Computational Mechanics, Domain Decomposition Approach to Flexible Multibody Dynamics Simulation, Vol. 53, No. 1, pp. 147-158
  2. Farhat, C., and Roux, F. X., International Journal for Numerical Methods in Engineering, A Method of Finite Element Tearing and Interconnecting and its Parallel Solution Algorithm, Vol. 32, 1991, pp. 1205-1227. https://doi.org/10.1002/nme.1620320604
  3. C. Farhat, M. Lesoinne, P. Letallec, K. Pierson, D. Rixen, Int. J. Numer. Meth. Engng, FETI-DP: a dual-primal unified FETI Method- Part I: A Faster Alternative to the Two-level FETI Method, 50, pp. 1523-1554, 2001. https://doi.org/10.1002/nme.76
  4. Park, K. C., Fellipa, C. A., and Gumaste, U. A., Computational Mechanics, A Localized Version of theMethod of Lagrange Multipliers and its Applications, Vol. 24, Issue 6, 2000, pp. 476-490. https://doi.org/10.1007/s004660050007
  5. Bauchau, O. A, Epple, A., and Bottasso, C. L., Journal of Computational and Nonlinear Dynamics, Scaling of Constraints and Augmented Lagrangian Formulations in Multibody Dynamics Simulations, Vol. 4, 2009.
  6. Bauchau, O. A., Journal of the Franklin Institute, Parallel Computation Approaches for Flexible Multibody Dynamics Simulations, Vol. 347, No. 1, 2010, pp. 53-68 https://doi.org/10.1016/j.jfranklin.2009.10.001
  7. Kwak, J. Y., Chun, T. Y., and Shin, S. J., Computational Approaches for Large Scale Structural Analysis using Domain Decomposition Technique, 52nd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference 19th 4-7 April 2011, Denver, Colorado
  8. Vondrak, V., Dostal, Z., Dobias, J., and Ptak, S., Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XVI, pp771-778
  9. Kwak, J. Y., Chun, T. Y., Cho H. S., and Shin, S. J., Journal of the Korean Society for Industrial and Applied Mathmatics, Advanced Domain Decomposition Method by Local and Mixed Lagrange Multipliers, 18(2.1), 17-26, 2011
  10. Hashamdar, H., Ibrahim, Z., Jameel, M., International Journal of the Physical Sciences, Finite Element Analysis of Nonlinear Structures with Newmark Method, Vol. 6(2.6), 1395-1403, 2011
  11. Felippa, C. A.,Computer Methods in Applied Mechanics and Engineering, A Study of Optimal Membrane Triangles with Drilling Freedoms, Vol. 192, No. 16, 2003, pp. 2125-2168. https://doi.org/10.1016/S0045-7825(03)00253-6
  12. Batoz J. L., Bathe K. J., and Ho L.W., International Journal for Numerical Methods in Engineering, A Study of Three-node Triangular Plate Bending Elements, Vol. 15, 1980, pp. 1771-1812. https://doi.org/10.1002/nme.1620151205
  13. Khosravi, P., Ganesan, R., and Sedaghati, R., International Journal for Numerical Methods in Engineering, Corotational Non-linear Analysis of Thin Plate and Shells using a New Shell Element, Vol. 69, 2007, pp. 859-885. https://doi.org/10.1002/nme.1791
  14. Kwak, J. Y., Cho, H., Chun, T. Y., Shin, S. J., International Journal of Aeronautical and Space Sciences, Domain Decomposition Approach Applied for Two- and Three-dimensional Problems via Direct Solution Methodology, 16(2.2), 177-189, 2015 https://doi.org/10.5139/IJASS.2015.16.2.177
  15. Allman, J., International Journal for Numerical Methods in Engineering, Evaluation of the Constant Strain Triangle with Drilling Rotations, Vol. 26, 1988, pp. 2645-2655. https://doi.org/10.1002/nme.1620261205