Geometrically-exact, fully intrinsic analysis of pretwisted beams under distributed follower forces
Conference
Mardanpour, P, Izadpanahi, E, Rastkarz, S et al. (2017). Geometrically-exact, fully intrinsic analysis of pretwisted beams under distributed follower forces
. 10.2514/6.2017-1986
Mardanpour, P, Izadpanahi, E, Rastkarz, S et al. (2017). Geometrically-exact, fully intrinsic analysis of pretwisted beams under distributed follower forces
. 10.2514/6.2017-1986
This paper studies the dynamic behavior of initially twisted beams subjected to applied, distributed follower forces. The analysis is based on geometrically-exact, fully intrinsic nonlinear composite beam theory, which is capable of analyzing the dynamic behavior of a general, nonuniform, initially curved and twisted, anisotropic beam undergoing large defor- mation. The equations of motion are independent of displacement and rotation variables, and singularities caused by finite rotation are avoided. The system of nonlinear equations are linearized about a static equilibrium state, and the linear system governing dynamic stability is solved numerically. The Hopf Bifurcation Point and behavior of the eigenvalues both pre- and post-instability are determined, and nonlinear limit cycle oscillations (LCOs) are analyzed in the time domain. The results obtained show that the nonconservative in- stability problem of the beam is highly affected by pretwist as well as by the magnitude and orientation of the applied, distributed follower forces.
