In this paper, we study the bifurcation of periodic orbits for high-dimensional piecewise smooth near integrable systems defined in three regions separated by two switching manifolds. We assume that the unperturbed system has a family of periodic orbits which cross two switching manifolds transversely. The expression of Melnikov function is derived based on the first integral. And the conditions of periodic orbits bifurcated from a family of periodic orbits for the high-dimensional piecewise smooth near integrable system are obtained. The theoretical results are applied to the bifurcation analysis of periodic orbits of two-degree-of-freedom piecewise smooth system of nonlinear energy sink. The periodic orbits configurations are presented with numerical method and the number of periodic orbits is three.

在本文中，我们研究了定义在由两个切换流形分隔的三个区域中的高维分段光滑近可积系统的周期轨道的分岔。我们假设未受扰动的系统有一个周期轨道族，它们横向穿过两个切换流形。梅尔尼科夫函数的表达式是根据一阶积分推导出来的。并得到了高维分段光滑近可积系统的周期轨道族分岔的周期轨道条件。将理论结果应用于非线性能量汇二自由度分段光滑系统周期轨道的分岔分析。周期轨道配置用数值方法给出，周期轨道数为三个。