基于最小二乘和修正Kumar法的动模量计算方法
Method for dynamic modulus based on least square and modified Kumar methods
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摘要: 目前常用的动模量计算方法往往在小应变时受白噪声干扰较大,而大应变时滞回圈不对称,导致无法准确计算土体动模量。使用最小二乘法计算小应变下的土体动模量;采用调整系数对Kumar法进行修正,从而计算大应变下土体的拉、压动模量。结果表明:相较于传统滞回圈法,最小二乘法拟合能有效克服白噪声对小应变幅值下动模量的影响,并使得动三轴试验测试动模量的应变范围更宽;而修正的Kumar算法能较好地计算强非线性下土体的拉、压动模量,并与最小二乘法拟合结果完美契合。Abstract: Due to the large interference of white noise at small strains and the asymmetric loop with large strains, the current methods cannot accurately calculate the soil dynamic modulus. The least square method is used to calculate the dynamic modulus of the soils under small strain, and the Kumar method is modified by the adjustment coefficient to calculate the tensile and compression modulus under large strain. The results show that compared with the traditional hysteresis loop method, the least square fitting method can effectively overcome the influences of white noise on the dynamic modulus at small strain, and make the tested strain range of the dynamic modulus in the dynamic triaxial tests wider. The modified Kumar method can well calculate the tensile and compression moduli of the soil under strong nonlinearity case, and it is perfectly connected with the fitting results of the least square method.