中文摘要：

基于无网格方法和精细积分方法，提出一种用于欧拉-伯努利梁动力响应求解的新算法。研究该算法的计算原理、实现方法，并给出数个典型的数值算例．该方法利用无网格方法进行空间自由度的离散，采用精细积分方法对时域积分，采用修正变分原理满足边界条件、最小二乘法进行插值，龙贝格算法进行数值积分．数值计算结果表明，此方法计算量较小，精度高，稳定性好。

英文摘要：

Based on the element-free Galerkin method and refinement integration method, a new algorithm was proposed for finding the solution of dynamic response of Euler-Bernoulli beam. The calculation principle and its implementation method were investigated and a few typical numerical solutions were also given. The element-free Galerkin method was used for discretization of degree of freedom in space, the refinement integration method for time-domain integration, the modified variation principle to meet boundary condi- tions, the least-squares method for interpolating, and the Romberg algorithm for numerical integration. The numerical results showed that this method exhibited smaller computation labor, high accuracy, and good stability.