研究了一类具有非线性阻尼力和强迫周期力项的相对转动非线性动力学模型。首先构造一个同伦映射,其次决定方程的初始近似,最后通过同伦映射方法得到了对应模型的任意次近似解。
A class of relativistic rotational nonlinear dynamical models possessing a nonlinear damping force and periodic force were investigated. First, a homotopic mapping was constructed; then the initial approximate solution was decided; and finally, the arbitrarily degree approximation for corresponding model was found by using the homotopic mapping method.