Dynamic analysis of planar flexible beams with finite rotations by using inertial and rotating frames

[1]  Stephen P. Timoshenko,et al.  Vibration problems in engineering , 1928 .

[2]  Y. C. Fung,et al.  Foundation of Solid Mechanics , 1966 .

[3]  G. Wempner Discrete approximations related to nonlinear theories of solids , 1971 .

[4]  E. Reissner On one-dimensional finite-strain beam theory: The plane problem , 1972 .

[5]  C. Oran Tangent Stiffness in Plane Frames , 1973 .

[6]  B. J. Hsieh,et al.  Non-Linear Transient Finite Element Analysis with Convected Co--ordinates , 1973 .

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

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

[9]  T. Belytschko,et al.  Large displacement, transient analysis of space frames , 1977 .

[10]  Thomas J. R. Hughes,et al.  Consistent linearization in mechanics of solids and structures , 1978 .

[11]  E. Riks An incremental approach to the solution of snapping and buckling problems , 1979 .

[12]  J. O. Song,et al.  Dynamic analysis of planar flexible mechanisms , 1980 .

[13]  R. Wen,et al.  Nonlinear Elastic Frame Analysis by Finite Element , 1983 .

[14]  C. Rankin,et al.  An element independent corotational procedure for the treatment of large rotations , 1986 .

[15]  J. C. Simo,et al.  On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II , 1986 .

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

[17]  Nobutoshi Masuda,et al.  Nonlinear dynamic analysis of frame structures , 1987 .

[18]  Kuo Mo Hsiao,et al.  Nonlinear finite element analysis of elastic frames , 1987 .

[19]  M. R. Silva Non-linear flexural-flexural-torsional-extensional dynamics of beams—I. Formulation , 1988 .

[20]  S. Atluri,et al.  Dynamic analysis of finitely stretched and rotated three-dimensional space-curved beams , 1988 .

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

[22]  M. Crisfield A consistent co-rotational formulation for non-linear, three-dimensional, beam-elements , 1990 .

[23]  Timoshenko beam theory with extension effect and its stiffness equation for finite rotation , 1990 .

[24]  Goto Yoshiaki,et al.  Elliptic integral solutions of plane elastica with axial and shear deformations , 1990 .

[25]  K. Hsiao,et al.  Dynamic analysis of planar flexible mechanisms by co-rotational formulation , 1991 .

[26]  J. D. Downer,et al.  Dynamics of flexible beams for multibody systems: a computational procedure , 1992 .

[27]  M. Iura,et al.  Dynamic analysis of the planar timoshenko beam with finite displacement , 1992 .