中文摘要：

为了进一步研究广义非保守系统的广义拟变分原理，同时考虑到阻尼力和伴生力的影响，首先明确了广义非保守弹性力学系统的基本方程，然后应用变积方法，建立了广义非保守弹性动力学系统的两类变量的广义拟变分原理，并应用两类变量的广义拟余能原理求解了一个广义非保守弹性结构系统具体算例，该方法较好地处理了动力分析中的一些复杂问题，顺利求得问题的解析解．

英文摘要：

To further research into generalized quasi-variational principles in generalized non-conservative systems, and to take account of the influence of both damping forces and follower forces, we put forward basic equations for generalized non-conservative elasto-dynamic systems. We then established generalized quasi-variational principles with two kinds of variables for generalized non-conservative elasto-dynamic systems by using of the variational inte- gral method. An example of a generalized non-conservative elasto-dynamie structural system was solved by applying the generalized quasi-complementary energy principle with two kinds of variables. It was shown that the method can better deal with some complicated problems in dynamic analysis, and an analytical solution can be successfully ob- tained.