基于Lagrange插值法提高击实试验精度的方法研究

Research on method of improving precision of compaction test based on Lagrange interpolation

文中针对土方击实试验,介绍了试验方法的选用和压实度的确定方法,分析了可能影响试验结果的因素,提出了击实试验余土高度控制在6 mm范围的“边击边算边测”控制方法。试验结果表明,“边击边算边测”的Lagrange插值法结合牛顿迭代法可求解较为精确的最大干密度和最优含水率,通过对比分析3点、5点、7点多项式的拟合结果,从准确性、精确性及试验数据处理的效率出发,建议采用三点二次多项式的Lagrange插值法。

In this paper,the selection of test method and the determination of compaction degree are introduced,the factors that may affect the test result are analyzed,and the control method of"measuring while calculating while striking"is proposed to control the residual soil height in the range of 6 mm in the compaction test.The experimental results show that the Lagrange interpolation method combined with Newton iteration method can solve the relatively accurate maximum dry density and optimal water content.By comparing and analyzing the fitting results of 3-point,5-point and 7-point polynomials,the accuracy,accuracy and efficiency of test data processing are discussed.The Lagrange interpolation method of three-point quadratic polynomial is suggested.