INTRINSIC EQUATIONS FOR THE NONLINEAR DYNAMICS OF SPACE BEAMS

Equations are developed for the fully intrinsic nonlinear dynamics of a spatially curved, pretwisted beam. Direct deformation measures are u sed as variables. Large deformations can be accommodated. The Bernoull i-Euler assumption is introduced for the gross dynamics but not for th e constitutive relations. The latter may also be inelastic and time de pendent. Initial and end conditions (force and kinematic types) are pr esented. Specific equations are also given for the planar case and for the linear case. Some of the merits and drawbacks of this approach ar e discussed. The extension to a continuum is also briefly discussed.