Double zero bifurcation of non-linear viscoelastic beams under conservative and non-conservative loads

摘要: The combined effects of conservative and non-conservative loads on the mechanical behavior an unshearable inextensional visco-elastic beam, close to bifurcation, are investigated. equations motion boundary conditions derived via a constrained variational principle, Lagrange multiplier successively condensed, get integro-differential equations. These latter, with appended, put in operator-form, amenable perturbation analysis. A linear stability analysis is carried out space two loading parameter, displaying existence codimension-1 codimension-2 bifurcations. influence both internal external damping this scenario thoroughly post-critical around double-zero by using adapted version multiple scale method, based fractional series expansions parameter. problem directly attacked, so that any priori discretization avoided. Emphasis given interaction between coefficients. This reveals existence, also non-linear range, phenomenon destabilization, far known only range.