Numerical integration of the equations of motion of structural systems undergoing large 3D rotations: dynamics of corotational slender beam elements
暂无分享,去创建一个
[1] C. Pacoste,et al. Co-rotational beam elements with warping effects in instability problems , 2002 .
[2] M. Crisfield,et al. Dynamics of 3-D co-rotational beams , 1997 .
[3] Tamer M. Wasfy,et al. Computational strategies for flexible multibody systems , 2003 .
[4] Choquet Bruhat,et al. Analysis, Manifolds and Physics , 1977 .
[5] C. Rankin,et al. An element independent corotational procedure for the treatment of large rotations , 1986 .
[6] Anders Eriksson,et al. Beam elements in instability problems , 1997 .
[7] J. C. Simo,et al. A three-dimensional finite-strain rod model. Part II: Computational aspects , 1986 .
[8] C. Oran. Tangent Stiffness in Plane Frames , 1973 .
[9] Carlos A. Felippa,et al. A unified formulation of small-strain corotational finite elements: I. Theory , 2005 .
[10] Jari Mäkinen,et al. Critical study of Newmark-scheme on manifold of finite rotations , 2001 .
[11] Alberto Cardona,et al. Time integration of the equations of motion in mechanism analysis , 2014 .
[12] Thomas J. R. Hughes,et al. Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .
[13] Daniel J. Rixen,et al. Parametrization of finite rotations in computational dynamics: a review , 1995 .
[14] Gordan Jelenić,et al. Geometrically exact 3D beam theory: implementation of a strain-invariant finite element for statics and dynamics , 1999 .
[15] J. C. Simo,et al. A finite strain beam formulation. The three-dimensional dynamic problem. Part I , 1985 .
[16] M. Géradin,et al. A beam finite element non‐linear theory with finite rotations , 1988 .
[17] M. Hjiaj,et al. A consistent 3D corotational beam element for nonlinear dynamic analysis of flexible structures , 2014 .
[18] Cv Clemens Verhoosel,et al. Non-Linear Finite Element Analysis of Solids and Structures , 1991 .
[19] Francesco Foti. A corotational beam element and a refined mechanical model for the nonlinear dynamic analysis of cables , 2013 .
[20] J. C. Simo,et al. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum , 1991 .
[21] C. DeWitt-Morette,et al. Analysis, manifolds, and physics , 1977 .
[22] R. A. Spurrier. Comment on " Singularity-Free Extraction of a Quaternion from a Direction-Cosine Matrix" , 1978 .
[23] K. Hsiao,et al. A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams , 1999 .
[24] J. L. Meek,et al. Geometrically nonlinear analysis of space frames by an incremental iterative technique , 1984 .
[25] M. A. Crisfield,et al. Non-Linear Finite Element Analysis of Solids and Structures: Advanced Topics , 1997 .
[26] Alex H. Barbat,et al. Dynamic analysis of beam structures considering geometric and constitutive nonlinearity , 2008 .
[27] M. Di Pilato,et al. Corotational cable elements for the study of fluid-structure interaction , 2007 .
[28] J. Argyris. An excursion into large rotations , 1982 .
[29] Jari Mäkinen,et al. Rotation manifold SO(3) and its tangential vectors , 2008 .
[30] Alex H. Barbat,et al. Static analysis of beam structures under nonlinear geometric and constitutive behavior , 2007 .
[31] Luca Martinelli,et al. Corotational cable elements to model suspended cables under wind loading , 2009 .