Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics

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Nonlinear harmonic analysis of structures containing joints with impacts and friction

Schurzig, D. ; Scheidt, L. Panning-von ; Hartung, A. ; Wallaschek, J. ;

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An algorithm is proposed which can be applied to finite element models in order to efficiently perform nonlinear harmonic analyses without neglecting nonlinear effects due to joint friction and impacts. In order to decrease the size of the nonlinear differential equation to be solved, the proposed algorithm reduces the structural matrices of the system to be investigated using the Craig-Bampton method after importing them from commercially available FE codes. Depending on the geometrical setup and materials of the system joints, different discretization assumptions can be applied. The implemented contact model is based on Coulomb friction and Newton impact constraints which are being determined by a linear complementarity problem (LCP) formulation. The computation itself is performed in time domain using a modified Newmark time stepping approach for numerical stability even if the time step size chosen is fairly large. Both the mathematical approach itself as well as numerical results are presented for the simple system of a cylindrical beam in contact with a rigid wall in order to give an in-depth description of the proposed algorithm.

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Palavras-chave: Nonlinear harmonic analysis, joints, impacts, friction, linear complementarity problem,

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DOI: 10.5151/meceng-wccm2012-18336

Referências bibliográficas
  • [1] Craig, R. R., and Bampton, M. C., 1968. “Coupling of Substructures for Dynamic Analysis”. AIAA Journal, 6(7), pp. 1313–1319.
  • [2] Cook, R., Malkus, D., Plesha, M., and Witt, R., 2001. Concepts and Applications of Finite Element Analysis, 4 ed. John Wiley Andamp; Sons.
  • [3] Glocker, C., and Studer, C., 200 “The Woodpecker Toy”. Proceedings of the IMES Center for Mechanics, ETH Zurich.
  • [4] Tatzko, S., Grönefeld, P., and Wangenheim, M., 2009. “Application of LCP Contact Formulation on Mechanical Systems With Nonrigid Coupled Unilateral Contact Points Illustrated With a Simple Model of a Windscreen Wiper”. Proceedings of The International Mechanical Engineering Congress and Exposition IMECE(IMECE2009-10292), pp. 435–442.
  • [5] Pfeiffer, F., and Glocker, C., 2000. Multibody dynamics with unilateral contacts, 1 ed. John Wiley Andamp; Sons.
  • [6] Schurzig, D., Tatzko, S., Panning-von Scheidt, L., and Wallaschek, J., 2012. Modeling Contact Dynamics of Vanes with Adjustable Upstream Flow Angles. Paper GT2012- 68185, Proc. of ASME Turbo Expo 2012: GT2012, June 11-15, Copenhagen, Denmark.
  • [7] Lemke, C., 1965. “Bimatrix Equilibrium Points and Mathematical Programming”. Management Science 11(7), pp. 681–689.
  • [8] Tomlin, J., 197 “Robust implementation of Lemke’s method for the linear complementarity problem”. Mathematical Programming Study 7(7), pp. 55–60.
  • [9] Patel, B., Ibrahim, S., and Nath, Y., 200 “Periodic response of nonlinear dynamical system with large number of degrees of freedom”. Sadhana 34(6), pp. 1033–1037.
  • [10] Ibrahim, S., Patel, B., and Nath, Y., 2009. “Modified shooting approach to the non-linear periodic forced response of isotropic/composite curved beams”. International Journal of Non-Linear Mechanics 44, pp. 1073–1084.
Como citar:

Schurzig, D.; Scheidt, L. Panning-von; Hartung, A.; Wallaschek, J.; "Nonlinear harmonic analysis of structures containing joints with impacts and friction", p. 1283-1293 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18336

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