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用图解法求长杆中波的状态,有直观的优点,不涉及复杂的数学推导,尤其对多次反射更是明了。不过图解法不能用来分析连续的参数变化,看不出变化的趋向。又图解法要求准确地作图,错了不易发觉,所以要特别仔细,并采用较大的比例尺为宜。1.基本关系第二章导出的细长杆中纵波的基本关系,是图解法的依据,现再汇集于下。波速 a=(E/ρ)~(1/2) (3.1)顺波 p=mv (3.2)以 x 正方向为顺波以压力为正
Using the graphic method to find the state of a longwave wave has intuitive advantages and does not involve complex mathematical derivation, especially for multiple reflections. However, the graphic method can not be used to analyze continuous parameter changes, do not see the changing trend. And graphic method requires accurate mapping, wrong not easy to find, so be careful, and use a larger scale is appropriate. 1. The basic relationship The second chapter derived slender rod longitudinal wave of the basic relationship is based on the graphic method, is now pooled in the next. Wave velocity a = (E / ρ) ~ (1/2) (3.1) Shun wave p = mv (3.2) Positive pressure in the positive x direction to the pressure is positive