中文摘要：

研究了具有有界不确定结构参数Winkler地基板的弯曲问题。将无网格Galerkin方法与区间数学相结合,将不确定参数用区间数来描述,给出了估计Winkler地基板弯曲挠度范围的区间无网格Galerkin方法。通过数值算例,表明了本文方法的有效性和可行性。

英文摘要：

The bending problem of the plates on Winkler foundation with uncertain-but-bounded parameters was studied.Combining the element-free Galerkin method and interval mathematics and describing the uncertain parameters as interval numbers,the interval element-free Galerkin method was developed for estimating the deflection range of the plates on Winkler foundation.The feasibility and efficiency of the proposed method were illustrated by numerical examples.