A Large Deformation Beam Element with Controllable High-frequency
A planer beam element with controllable high-frequency is proposed to solve the low efficiency problem in numerical simulation of rigid-flexible coupled systems including large deformation beams.The position vector of each node and the axial gradient vector at the two-end nodes are selected as the global parameters,and the beam centroid line is interpo-lated using the cubic spline.The rotation angle of the beam cross-section is determined by employing the tangent direction of the centroid line according to the deformation assumption of Euler-Bernoulli beam.To filter out the high-frequency compo-nents of the system from the model level,the average internal force defined in a short time domain is used to replace the in-stantaneous internal force in the virtual power equation,and the governing equation of the large deformation beam with addi-tional inertia and damping terms is derived.By adjusting the time interval length parameter of the average internal force,the high-frequency components in the system equation can be controlled,so that the conventional explicit algorithm can also be used to solve the traditional stiff problem.Numerical examples illustrate that the computational efficiency of the rigid flexi-ble coupling system can be greatly improved without losing calculation accuracy when the proposed large deformation beam element is used.
vibration and wavelarge deformation beamhigh-frequency componentcubic splinestiff problemrigid-flexible compling
万方数据
维普
