周期振动谐波分析的实用数值解

对周期振动进行谐波分析,在周期函数能表示为时间的确定性函数时,通常都用富里哀(Fourier)方法。本文提出,在周期函数只能表示为一复杂曲线或一系列离散数据时,采用将周期进行60等分的方法,给出了前十阶谐量幅值与位相的数值计算公式,并编制了简易的计算机程序。使周期振动的分析过程大为简化,且计算结果的精度得到提高。

PRACTICAL NUMERICAL METHOD FOR HARMONICAL ANALYSIS OF PERIODICAL VIBRATION

In general, Fourier method is used for harmonical analysis when periodic functions can be expressed by definite functions. This paper will provide a method and program of calculation when it can only by indicated by a series of discrete data or a complicated curve. The simplification of calculation process and the raising of the precision of the results are main effects by use of the method, without the expensive signal processors, the method and result given by this paper would have more actual significance.