中文摘要：

基于 homotopy 分析方法，为强烈非线性的问题的一种一般分析技术，为周期的非线性的摆动系统的自动化推导(ADHO ) 的一个枫树包裹被介绍。这个枫树包裹为在将军的周期的摆动系统是有效的，并且能自动地交付频率的精确近似和一个非线性的周期的振荡器的运动的平均数。基于甚至为高度非线性的问题有效的 homotopy 分析方法，这个枫树包裹能与强壮的非线性甚至为非线性的摆动系统给精确近似表达式。而且，包裹是用户友好的：一个人就需要输入一个管理方程和起始的条件，然后变得满足在很少秒的分析近似。例子的几种不同类型在这份报纸被给说明这个枫树包裹的有效性。这种包裹提供我们在到分析的科学和工程的一个有用、容易使用的工具周期的非线性的摆动。并且一旦纸公开被出版，从地址 http://numericaltank.sjtu.edu.cn/sjliao.htm 下载这个枫树包裹的电子版本是免费的。

英文摘要：

Based on the homotopy analysis method, a general analytic technique for strongly nonlinear problems, a Maple package of automated derivation （ADHO） for periodic nonlinear oscillation systems is presented. This Maple package is valid for periodic oscillation systems in rather general, and can automatically deliver the accurate approximations of the frequency co and the mean of motion δof a nonlinear periodic oscillator. Based on the homotopy analysis method which is valid even for highly nonlinear problems, this Maple package can give accurate approximate expressions even for nonlinear oscillation systems with strong nonlinearity. Besides, the package is user-friendly： One just needs to input a governing equation and initial conditions, and then gets satisfied analytic approximations in few seconds. Several different types of examples are given in this paper to illustrate the validity of this Maple package. Such kind of package provides us a helpful and easy-to-use tool in science and engineering to analyze periodic of this Maple package from the is published publicly. nonlinear oscillations. And it is free address http：//numericaltank.sjtu to download the electronic version edu.cn/sjliao.htm once the paper