中文摘要：

采用变分原理，给出了端部作用横向荷载时改进Vlasov双参数地基上梁稳定性分析的解析方法。梁的失稳荷载可通过求解特征值方法得到，梁的失稳模态可表示为无量纲参数γ的函数形式，通过简单的迭代程序可求得失稳荷载与失稳模态。针对不同的梁端荷载和边界条件进行了参数分析，其结果表明当梁的长细比较小时，端部横向荷载对其稳定性存在影响：当长细比较大时，可忽略该影响。

英文摘要：

Using the variational principle, an analytical method for the stability analysis of beams on modified Vlasov foundation subjected to lateral loads acting on the ends was developed. The buckling loads and the corresponding mode shapes of the beams could be determined by solving the eigenvalues of the boundary conditions of the beams. It was shown by the parametric study that the effect of the lateral loads acting on the ends was negligible when the height length ratio of the beams was large. Meanwhile, the effect should be considered when the value of the height-length ratio was small.