On the dynamics of finite-strain rods undergoing large motions a geometrically exact approach
暂无分享,去创建一个
[1] E. Reissner. On one-dimensional finite-strain beam theory: The plane problem , 1972 .
[2] J. Argyris. An excursion into large rotations , 1982 .
[3] C. DeWitt-Morette,et al. Analysis, manifolds, and physics , 1977 .
[4] S. Antman,et al. 5.—Qualitative Aspects of the Spatial Deformation of Non-linearly Elastic Rods. , 1975, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[5] Albert I. King,et al. Computation of Rigid-Body Rotation in Three-Dimensional Space From Body-Fixed Linear Acceleration Measurements , 1979 .
[6] T. Belytschko,et al. Computational Methods for Transient Analysis , 1985 .
[7] J. C. Simo,et al. A finite strain beam formulation. The three-dimensional dynamic problem. Part I , 1985 .
[8] T. Hughes,et al. Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis , 1980 .
[9] R. P. Nordgren,et al. On Computation of the Motion of Elastic Rods , 1974 .
[10] E. Reissner. On finite deformations of space-curved beams , 1981 .
[11] Thomas J. R. Hughes,et al. Stability, convergence and growth and decay of energy of the average acceleration method in nonlinear structural dynamics , 1976 .
[12] The Role of Saint Venant’s Solutions in Rod and Beam Theories , 1979 .
[13] Stuart S. Antman,et al. The Theory of Rods , 1973 .
[14] D. W. Scharpf,et al. Finite element method — the natural approach , 1979 .
[15] J. C. Simo,et al. On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II , 1986 .
[16] A. Love,et al. The Mathematical Theory of Elasticity. , 1928 .
[17] Charles S. Kenney,et al. Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity , 1981 .
[18] John Argyris,et al. Nonlinear finite element analysis of elastic systems under nonconservative loading—natural formulation part II. Dynamic problems , 1981 .
[19] P. Likins,et al. Floating reference frames for flexible spacecraft , 1977 .
[20] E. Reissner,et al. On One‐Dimensional Large‐Displacement Finite‐Strain Beam Theory , 1973 .
[21] Stuart S. Antman,et al. Kirchhoff’s problem for nonlinearly elastic rods , 1974 .
[22] S. Antman,et al. Travelling waves in hyperelastic rods , 1979 .
[23] The Hamiltonian Structure of Nonlinear Elasticity: The Convective Representation of Solids, Rods, and Plates, , 1987 .
[24] T. Hughes. Numerical Implementation of Constitutive Models: Rate-Independent Deviatoric Plasticity , 1984 .
[25] Robert L. Taylor,et al. Numerical formulations of elasto-viscoplastic response of beams accounting for the effect of shear , 1984 .
[26] E. Reissner. Some remarks on the problem of column buckling , 1982 .