Firstly, the approximate analytical solution of a local domain is derived.
首先求出了局部区域的近似解析解。
The perturbation method was employed to get the control equation's approximate solution. The analytical expressions of beam's natural lateral vibration frequency and displacement were derived.
采用摄动法求得了其近似解，得到了载流梁在磁场中的横向固有振动频率及位移解析表达式。
By combining the linearization of the governing equation with the method of harmonic balance, we have established analytical approximate formulas for the period and the periodic solution.
将控制方程的线性化与调和平衡法组合起来，建立周期及周期解的解析逼近公式。
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