The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches

被引:409
作者
Kiendl, J. [1 ]
Bazilevs, Y. [2 ]
Hsu, M. -C. [2 ]
Wuechner, R. [1 ]
Bletzinger, K. -U. [1 ]
机构
[1] Tech Univ Munich, Lehrstuhl Stat, D-80333 Munich, Germany
[2] Univ Calif San Diego, Dept Struct Engn, La Jolla, CA 92093 USA
关键词
Isogeometric analysis; Rotation-free shells; Kirchhoff-Love theory; Multiple patches; Wind turbine rotor; Shell-solid coupling; FLUID-STRUCTURE INTERACTION; FINITE-ELEMENTS; NONLINEAR ELASTICITY; BLOOD-FLOW; NURBS; OPTIMIZATION; SIMULATION; PROJECTION; TURBULENCE; MEMBRANES;
D O I
10.1016/j.cma.2010.03.029
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper we present an isogeometric formulation for rotation-free thin shell analysis of structures comprised of multiple patches The structural patches are C(1) - or higher-order continuous in the interior, and are joined with C(0)-continuity The Kirchhoff-Love shell theory that relies on higher-order continuity of the basis functions is employed in the patch interior as presented in Kiendl et al. [36]. For the treatment of patch boundaries, a method is developed in which strips of fictitious material with unidirectional bending stiffness and zero membrane stiffness are added at patch interfaces The direction of bending stiffness is chosen to be transverse to the patch interface. This choice leads to an approximate satisfaction of the appropriate kinematic constraints at patch interfaces without introducing additional stiffness to the shell structure The attractive features of the method include simplicity of implementation and direct applicability to complex, multi-patch shell structures The good performance of the bending strip method is demonstrated on a set of benchmark examples Application to a wind turbine rotor subjected to realistic wind loads is also shown Extension of the bending strip approach to the coupling of solids and shells is proposed and demonstrated numerically (C) 2010 Elsevier BV All rights reserved.
引用
收藏
页码:2403 / 2416
页数:14
相关论文
共 48 条
  • [1] The role of continuity in residual-based variational multiscale modeling of turbulence
    Akkerman, I.
    Bazilevs, Y.
    Calo, V. M.
    Hughes, T. J. R.
    Hulshoff, S.
    [J]. COMPUTATIONAL MECHANICS, 2008, 41 (03) : 371 - 378
  • [2] [Anonymous], 2005, ENG MECH COMPOSITE M
  • [3] The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations
    Auricchio, F.
    da Veiga, L. Beirao
    Lovadina, C.
    Reali, A.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) : 314 - 323
  • [4] NURBS-based isogeometric analysis for the computation of flows about rotating components
    Bazilevs, Y.
    Hughes, T. J. R.
    [J]. COMPUTATIONAL MECHANICS, 2008, 43 (01) : 143 - 150
  • [5] Isogeometric fluid-structure interaction: theory, algorithms, and computations
    Bazilevs, Y.
    Calo, V. M.
    Hughes, T. J. R.
    Zhang, Y.
    [J]. COMPUTATIONAL MECHANICS, 2008, 43 (01) : 3 - 37
  • [6] YZβ discontinuity capturing for advection-dominated processes with application to arterial drug delivery
    Bazilevs, Y.
    Calo, V. M.
    Tezduyar, T. E.
    Hughes, T. J. R.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2007, 54 (6-8) : 593 - 608
  • [7] Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
    Bazilevs, Y.
    Calo, V. M.
    Cottrell, J. A.
    Hughes, T. J. R.
    Reali, A.
    Scovazzi, G.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 197 (1-4) : 173 - 201
  • [8] Weak Dirichlet boundary conditions for wall-bounded turbulent flows
    Bazilevs, Y.
    Michler, C.
    Calo, V. M.
    Hughes, T. J. R.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (49-52) : 4853 - 4862
  • [9] Isogeometric analysis:: Approximation, stability and error estimates for h-refined meshes
    Bazilevs, Y.
    Da Veiga, L. Beirao
    Cottrell, J. A.
    Hughes, T. J. R.
    Sangalli, G.
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2006, 16 (07) : 1031 - 1090
  • [10] Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
    Bazilevs, Y.
    Calo, V. M.
    Zhang, Y.
    Hughes, T. J. R.
    [J]. COMPUTATIONAL MECHANICS, 2006, 38 (4-5) : 310 - 322