A NEW METHOD FOR TIMOSHENKO-BEAM HARMONIOUS RESPONSE
Timoshenko梁谐响应求解新方法探索

An exact numerical method was explored for Timoshenko-beam harmonic response. In the space domain, element free method relative only with the node was used and governing equations are the equivalent weak form instead of differential form. The amendment variation principle was used to meet displacement boundary conditions and a least squares method to get the shape function. The shape function was taken into the equivalent of the weak points to get the second-order discrete equation. In the time domain, precise integration was used and Romberg integration was adopted for the non-homogeneous term. Finally, two examples of numerical results were obtained for the harmonic response problem at two different boundary conditions.