The paper deals with the variational iteration method to obtain a semi-analytical solution to some obstacle problems. We will focus on applications of a contact problem for a deformed beam with an elastic obstacle. To validate the accuracy this approach,the obtained solution has been compared with the exact solution, in the case where it can be calculated in the closed-form expression. Otherwise, a comparison of variational iteration method with the Adomian decomposition method for some nonlinear examples has been used.

中文翻译：

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一些障碍问题的近似解析解

本文研究了变分迭代方法，以得到一些障碍问题的半解析解。我们将集中讨论具有弹性障碍的变形梁的接触问题的应用。为了验证此方法的准确性，在可以使用闭式表达式进行计算的情况下，已将获得的解与精确解进行了比较。否则，对于一些非线性示例，已经使用了变分迭代方法与Adomian分解方法的比较。