# # Enforced Velocity Test # # Problem description # An elastic steel rod has the velocity of one of its ends increased # from 0 to 1 m/s at time zero and thereafter held constant. # The rod is otherwise unconstrained # # Model description # One rod_2 element is used to model the rod. # The timestep is scaled by 0.05 to ensure that oscillation should not # make the solution unstable. # # Engineering data # Density = 7850 kg/m3 # Youngs modulus = 210E9 N/m2 # Poissons ratio = 0.3 # Rod Section Area = 1 m2 # # Reference results # Node 1 should move with a constant velocity of 1 m/s # The rod should have a cyclic velocity with a mean value of 1 m/s, an # amplitude of 1 m/s and a period of 0.77E-3 s according to: # # Sound speed = sqrt(Youngs_modulus/density) = 5172 m/s # Time for a sound wave to pass along a rod = 1/5172 = 0.193E-3 s # Time for one period = 4*0.193E9 = 0.77E-3 s # # Comparisons of results # Node 1 has a constant velocity of 1 m/s which corresponds with # theory. # Node 2 results: # # MSC-Dyna Impact Theory # amplitude 1.0 1.0 1.0 # period 0.00086 0.00086 0.00077 # # nodes 1 x = 0 y = 0 z = 0 constraint = moving 2 x = 1 y = 0 z = 0 elements of type rod_2 1 nodes = [1,2] material = mat1 D = 1.1284 materials of type elastic mat1 E = 210000000000 rho = 7850 nu = 0.3 constraints of type boundary_condition moving vx = 1.0 ax = 0.0 trackers of type nodevelocity 1 node = [2] direction = X filename = Ver_07.trk target = [0.00043,0.000001,2.0,0.001] controls run from 0 to 0.002 step 0.000001 print every 0.0001 step print tracker every 0.00001 step