Rotating Flexible Beam And The Dynamic Response Of Elastic Column Collision

The thesis based on Lagrange equation and the assumed mode method, has set up the discrete kinetic governing equation of a elasticity column of one dimension, a rotating flexible beam charged to its axis transform, and a beam-column structure. Derived the orthogonality of the beam-column structure when the material of beam different from the material of column in structure. Utilize a program to make the numerical simulation for the dynamics of them which were effected by the initialize velocity, and obtained more ideal result. Has observed the interaction between the elasticity and large motion, and studied the impact force history in the structure, and proved the boundary conditions, the continuity conditions of displacement and stress in structure.Utilize the obtained discrete kinetic governing equation of a elasticity column of one dimension, a rotating flexible beam charged to its axis transform, and a beam-column structure, studied the multi impact between beam and column in the point of view of change the structure of mode. In the thesis, has given the estimate condition for the happen of the impacts and apart, and the method of dealing with the initialize conditions while the structure of mode changing. Utilize a program to make the numerical simulation for the impact, has observed multi impact and multi sub-impact in a macrography impact, obtained the dynamics of beam and column and the time history of impact force in the total process.