Dynamic response of a space flexible arm with a moving mass

The dynamic characteristic of a space rotating flexible arm with moving mass were investigated. can rotate around the fixed end in horizontal and vertical planes simultaneously. And lateral deflections two considered. equations structure derived by Lagrange’s equation assumed mode method. system binary second order linear differential is gotten. Based on central difference method, conditionally stable algorithm for solving established. Due to coupling displacements planes, increase angular velocity one plane will other plane. When angle between increases, component gravity along normal direction beam decrease, resulting decrease plane, however, it lead stiffness thus an displacements. Compared mass, load ignores influence inertial force, so calculation results are different. conclusions provide basis design similar structures.