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文中提出了计算分层土自振周期的两种方法:传递矩阵法和直接法(修正的法)。前一种方法可给出精确解答,但在数值求解时,只能方便地用于三层以内的土剖面;第二种方法比较简便,在相邻层土性参数值相差不太大时,可给出满意的结果。文中对直接法中的原始假定振型进行了修正,并给出了相应的计算公式。多个实例计算表明,用它计算分层土的基本周期,最大计算误差不超过4％。
In this paper, two methods are proposed to calculate the natural vibration period of layered soil: transfer matrix method and direct method (corrected method). The former method can give accurate solutions, but it can only be conveniently used for soil profiles within three layers when solving numerical problems; the second method is relatively simple, and when the soil parameters of adjacent layers are not too different, Satisfactory results can be given. In this paper, the original assumptions in the direct method are modified and the corresponding formulas are given. Multiple instance calculations show that it is used to calculate the basic period of the layered soil and the maximum calculation error does not exceed 4%.