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 relative rotation nonlinear dynamical model with nonlinear damping force and forcing periodic force is investigated.First,a homotopic mapping is constructed,and then the initial approximate solution is determined.Finally,using the homotopic mapping method,the arbitrarily degree approximation for corresponding model is found.