A LARGE DEFORMATION GEOMETRIC NONLINEAR EULER-BERNOULLI BEAM ELEMENT
Based on the complete second-order displacement fields of an Euler-Bernoulli beam element,a large deformation geometric nonlinear Euler-Bernoulli beam element based on U.L.formulation is derived.These complete second-order displacement fields of Euler-Bernoulli beam elements include the additional displacement caused by the rotation of elemental cross-section in the transverse and longitudinal displacement fields.The nonlinear finite element formulas of an Euler-Bernoulli beam element under the form of U.L.formulation in a local coordinate system are derived using a Cauchy strain tensor and the principle of virtual displacement.The total equilibrium equation and tangent stiffness for the large displacement geometric nonlinear analysis of a frame are obtained in the total coordinate system using a co-mobile coordinate system.The results of several typical example show that this element has high precision.