Dynamic analysis of finitely stretched and rotated three-dimensional space-curved beams

[1]  J. Stuelpnagel On the Parametrization of the Three-Dimensional Rotation Group , 1964 .

[2]  G. Cowper The Shear Coefficient in Timoshenko’s Beam Theory , 1966 .

[3]  K. Bathe,et al.  FINITE ELEMENT FORMULATIONS FOR LARGE DEFORMATION DYNAMIC ANALYSIS , 1975 .

[4]  J. Z. Zhu,et al.  The finite element method , 1977 .

[5]  D. W. Scharpf,et al.  On large displacement-small strain analysis of structures with rotational degrees of freedom , 1978 .

[6]  E. Reissner On finite deformations of space-curved beams , 1981 .

[7]  K. Washizu Variational Methods in Elasticity and Plasticity , 1982 .

[8]  Mohamed S. Gadala,et al.  A consistent eulerian formulation of large deformation problems in statics and dynamics , 1983 .

[9]  S. Atluri ALTERNATE STRESS AND CONJUGATE STRAIN MEASURES, AND MIXED VARIATIONAL FORMULATIONS INVOLVING RIGID ROTATIONS, FOR COMPUTATIONAL ANALYSES OF FINITELY DEFORMED SOLIDS, WITH APPLICATION TO PLATES AND SHELLS-I , 1984 .

[10]  Ekkehard Ramm,et al.  Displacement dependent pressure loads in nonlinear finite element analyses , 1984 .

[11]  T. Belytschko,et al.  Computational Methods for Transient Analysis , 1985 .

[12]  Robert B. Haber,et al.  Elastodynamic formulation of the Eulerian-Lagrangian kinematic description , 1986 .

[13]  K. Spring Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: A review , 1986 .

[14]  J. C. Simo,et al.  A three-dimensional finite-strain rod model. Part II: Computational aspects , 1986 .

[15]  A. Rosen,et al.  Nonlinear Dynamics of Slender Rods , 1987 .

[16]  S. Atluri,et al.  On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams , 1988 .

[17]  M. Géradin,et al.  Kinematics and dynamics of rigid and flexible mechanisms using finite elements and quaternion algebra , 1988 .