Abstract: For the free vibration of a uniform Timoshenko beam with multiple arbitrarily placed rotational dampers, taking advantage of the numerical assembly method (NAM), the exact solution and characteristic equation for a Timoshenko beam with any number of rotational dampers are presented, in a range of various boundary conditions. The complex-valued natural frequencies of the system were achieved by constructing a real-valued function. Numerical study results were compared with those obtained by finite element method (FEM). Good agreement is observed, which confirms the validity of the present solution. As a non-proportional damping system, it is evident that there is a system maximum damping ratio and optimum damping coefficient of the system. With consideration of a single-rotational-damper case, the curves of the system maximum damping ratios and optimum damping coefficients varying with damper’s position are illustrated via parametric study. Finally, the comparison of the results attained via Timoshenko beam and Euler-Bernoulli beam indicates that the latter would achieve a slightly higher damping ratio that corresponds to the first mode.
陈勇;刘盼. 等截面铁摩辛柯梁-抗转阻尼器系统的复模态特性[J]. , 2012, 31(23): 174-179.
Chen Yon;Liu Pan. Complex modal characteristic of a system of a uniform Timoshenko beam with rotational dampers . , 2012, 31(23): 174-179.