摘要
采用文献 [1]的时间域插值格式和逐步递推计算格式以及wilson -θ法的插值格式和逐步计算方法 ,分别从插值格式角度、满足动力学方程的角度以及数值计算产生的周期偏移和振幅衰减角度对动力学问题中有关逐步计算格式的精度问题进行了讨论。指出逐步递推计算格式的计算精祺不但要以时间域上的插值格式精度为标准 ,同时也应该以动力学方程满足的精度为标准。另外 ,本文给出了一种研究周期偏移和振幅衰减的数值方法 ,该方法思想简单、实用、适用性广。
The interpolation format in time domain and step-by-step integration algorithms are adopted from literature \ and wilson-θ method is used bo discuss some precision problems of algorithms for dynamic respectively from the views of interpolation function, satisfaction to dynamic equation, period migration and amplitude decay yielded by numerical calculation. It is pointed out the calculationg precision should not only consider the precision of interpolation functions in time domain, but also think about the precision of the satisfaction to dynamic equation. In addition , a numerical method for studying the period migration and amplitude decay is presented which is simple, pradticable and suitable widely.
出处
《辽宁工学院学报》
2001年第1期64-68,共5页
Journal of Liaoning Institute of Technology(Natural Science Edition)
基金
辽宁省教委基金资助项目! (编号 9810 2 110 88)
关键词
精度
插值函数
动力学方程
周期偏移
振幅衰减
precision
interpolation function
dynamic equation
period migration
amplitude decay
