单摆非线性动力响应的增维精细积分法

Dimension-added Precise Integral Method of Non-linear Dynamic Response for A Pendulum

文章采用高精度、高效率的增维精细积分法推导出求解单摆非线性动力响应的迭推公式,通过单摆线性解与非线性解的对比分析,得出了能够简化为线性动力问题的初始摆角最大值以及初始摆角对非线性动力响应的影响规律。

In this paper,the transfer formulae of non-linear dynamic response for a pendulum are deduced based on a high-accuracy and high-efficiency dimension-added precise integral method.The initial pendulum angle and the effect of maximum pendulum angle on non-linear dynamic response of a pendulum are provided by means of contrast analysis between non-linear solutions and corresponding linear ones.