中文摘要：

阐明经典阻尼系统响应直接辛解法的困难所在，提出一种将经典阻尼系统分离为等价的无阻尼系统，以用辛解法求解经典阻尼系统响应的方法，进一步对无阻尼系统的辛解法进行详细分析。数值算例的结果表明，所提方法有效、可行。

英文摘要：

The difficulty of Symplectic method to find the response of a classical damped system is expounded. Based on a strategy that a classical damped system may be transformed into an undamped system equivalently, a Symplectic method to get the response of the system with classical damping, with the help of Symplectic solution of undamped system, is proposed. A detailed analysis of Symplectic method for undamped system response is carried out. Results of examples show that the method proposed is efficient and feasible.