Discretization and computer simulation of a rotating Euler–Bernoulli beam

In this paper, the proposed constraint method in conjunction with Lagrange’s equation systematically to discretize and simulate for large-scale systems is illustrated by application of a rotating Euler–Bernoulli beam. A good truncation procedure based on the system eigenvalues for this infinity-many-degree-of-freedom distributed system to approximate as a suitable n-degree-of-freedom system is also introduced. The nonlinear interactions between the elastic and the large rigid body motions are naturally incorporated in the presented formulation. The effectiveness of the procedure is also demonstrated through the computer simulation. It is seen that the characteristics about linear and nonlinear system model can be efficiently shown through the computer simulation.