摘要
层状地基中Rayleigh波(以下简称R波)携带有大量关于土层的重要信息,对工程建设有着重要的作用。基于有限元-解析法建立层状地基中R波在频率-波数域(f-k域)内的振动方程。根据工程中有限元的误差分析,确定了每个波长内薄层划分数目的下限值N。采用BISECTION算法快速、准确地搜索层状地基中R波特征方程的根,进而得到了各种常见地基中R波高阶模态的频散曲线,计算结果得到了解析法的支持。最后,将该方法所得到的频散曲线与数值仿真模拟和现场实测的频散曲线作了对比,结果表明:在f-k域内,有限元-解析法能有效地计算R波在层状地基中的频散曲线。
Rayleigh wave carries enormous information of the field deposit, so it is important to engineering construction. Based on the FEM-ANALYTICAL method, the multimode dispersion equations of Rayleigh wave are established in the frequency-wavenumber domain （f-k domain） for layered soils. According to the finite-element error analysis theory in engineering, the minimum value of N elements per wavelength is determined. The BISECTION technique is used to search the eigenvalues for dispersion equations. The multimode dispersion curves of Rayleigh wave in layered soils are obtained and compared with that of the ANALYTICAL method. Finally, the presented model is used to predict the numerical test results and the field-test data and excellent agreements are observed. The results show that the FEM- ANALYTICAL method is effective to simulate the propagation of Rayleigh wave in layered soils.
出处
《土木工程学报》
EI
CSCD
北大核心
2014年第2期103-108,共6页
China Civil Engineering Journal
基金
国家自然科学基金青年基金(51008194)
