求取道路结构型地层瑞利波频散曲线的方法

A TENTATIVE METHOD FOR CALCULATION OF RAYLEIGH DISPERSION CURVES FOR THE FOUNDATION OF PAVEMENT SYSTEMS

求取道路结构型地层的瑞利波频散曲线,过去一般是采用刚度矩阵法、有限单元法等方法在复数域进行求解。作者在吸取前人某些研究思路的基础上,提出了添加附加层的方法,使原复数域的求解问题转化到实数域进行,然后用二分法进行求解。附加层法提高了正演计算的速度,且模拟计算结果表明了新方法的可行性。

The calculation of the dispersion curves of pavements is studied in this paper. The dispersion curves of pavements used to be figured out by such means as the stiffness matrix approach or the finite element method. For pavement systems, the search for the roots of the frequency equation was beset with difficulties. The roots were mostly complex numbers and numerical overflow problems occurred frequently. The authors propose adding a high velocity layer under the sub-grade so as to convert the roots into real numbers. Using the bisection method to solve the modified model, the authors have found that the results coincide with those of the complex domain.