文章摘要
吕政权, 任 青, 邹 宇, 齐新玉.层状地基中Rayleigh波频散方程改进的解析法Journal of Water Resources and Water Engineering[J].,2013,24(6):47-50
层状地基中Rayleigh波频散方程改进的解析法
Improved analytical method of dispersion equation for Rayleigh wave in layered foundation
  
DOI:10.11705/j.issn.1672-643X.2013.06.011
中文关键词: 层状地基  Rayleigh波  改进的解析法  频散方程
英文关键词: layered foundation  rayleigh wave  improved analytical method  dispersion equation
基金项目:国家自然科学基金青年基金项目(51008194)
Author NameAffiliation
LU Zhengquan1, REN Qing1, ZOU Yu2, QI Xinyu2 (1.上海理工大学 环境与建筑学院 上海 200093 2.中建八局第二建设有限公司 济南 250022) 
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中文摘要:
      通过引入势函数,推导了Rayleigh波(R波)在层状地基中的频散方程及其改进的解析法;由频散方程的计算特点,在频率-波数域(f-k域)内应用Bisection算法,快速、准确地搜索R波频散方程的根;通过研究不同类型层状地基中R波的高阶频散曲线,修正了解析法不能有效计算软夹层或硬夹层地基的说法;最后,将得到的频散曲线与已有频散曲线作了对比,结果表明本方法能合理地分析R波在层状地基中的频散特性。
英文摘要:
      By using potential function,the paper introduced an improved analytical method to derive the dispersion equation for Rayleigh wave in layered soils;in accordance with calculation characteristics of the dispersion equation ,it applied a Bisection technique in Frequency-Wavenumber domain to find quickly and accurately the eigenvalues of the dispersion equation; through the study on multimodes dispersion curves of different kinds of layered soils,it modified the statement about that the improved-analytical-method is not an effective solution for middle-soft and middle-hard layered soils; finally, the paper compared the dispersion curve with other curves. The results show that the improved-analytical-method can reasonably analyze the dispersion characters of rayleigh wave in layered soils.
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