A nonlinear oscillator arising in a microelectromechanical system (MEMS) is difficult to be solved analytically due to the zero conditions. So the main objective of this work is to analyze the mathematical model of this system, and its approximate analytical solution is solved via the coupling variational iteration method and Laplace transform (LVIM). This method provides an efficient way to obtain the approximate nonlinear frequency and approximate solutions of MEMS. Moreover, LVIM also approximates the pull-in threshold in terms of model parameters. Finally, the results are compared with the exact one, and a good result is obtained.

中文翻译：

---

微机电系统非线性振子的基于拉普拉斯变分迭代法

由于零条件，微机电系统 (MEMS) 中出现的非线性振荡器难以解析求解。因此本工作的主要目的是分析该系统的数学模型，并通过耦合变分迭代法和拉普拉斯变换（LVIM）求解其近似解析解。该方法为获取MEMS的近似非线性频率和近似解提供了一种有效的方法。此外，LVIM 还在模型参数方面逼近了拉入阈值。最后，将结果与准确的结果进行比较，获得了良好的结果。