基于Green函数法的受冲刷作用单桩横向动力学特性分析  

Analysis of Lateral Dynamic Characteristics of The Single Pile Affected By Scour By Means of Green’s Functions

作　　者：马建军 韩书娟 高笑娟 李达 郭颖 MA Jianjun;HAN Shujuan;GAO Xiaojuan;LI Da;GUO Ying(School of Civil Engineering,Henan University of Science and Technology,Luoyang 471023,China;Engineering Technology Research Center of Safety and Protection of Buildings of Henan Province,Luoyang 471023,China)

机构地区：[1]河南科技大学土木工程学院,河南洛阳471023 [2]河南省建筑安全与防护工程技术研究中心,河南洛阳471023

出　　处：《信阳师范学院学报（自然科学版）》2023年第4期663-670,共8页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11502072);河南省高等学校青年骨干教师培养计划项目(2019GGJS076)。

摘　　要：基于横向受荷部分埋置单桩的动力学模型,利用有限差分法实现对土-结构相互作用系统的准确建模,从而获得受冲刷作用单桩更为准确的固有频率;运用Green函数法求解桩基受迫振动的解析解,揭示冲刷作用下单桩横向动力学特性的变化。通过数值计算和参数分析,研究了土体特性、桩身长细比等对受冲刷作用单桩横向动力学特性的影响。结果表明:随冲刷程度加剧,桩基的各阶频率均显著降低。桩基的第一阶频率随桩身长细比增大而减小,而高阶频率的变化规律则较复杂;桩基的各阶频率均随土体弹性模量的增大而增大;若土体弹性模量增大了1倍(4倍),桩基的第一阶频率约增大了20%(40%)。Based on the dynamic model of the laterally loaded partially-embedded single pile,the finite difference method is used to achieve accurate modeling of the soil-structure interaction(SSI)system,and to solve the natural frequencies of the single pile affected by scour.Then Green’s function is used to solve the analytical solutions of forced vibration of the single pile and reveal the changes in lateral dynamic characteristics of the single pile under scour.Through numerical calculation and parameter analysis,the effect of the soil’s characteristics and pile’s slenderness on the lateral dynamic characteristics of the single pile affected by scour are studied.As the scour degree intensifies,the frequencies of each order of the pile foundation are significantly reduced.The first-order frequency of the pile foundation decreases with the increase of the slenderness of the pile,and the variation law of the higher-order frequencies is complex.The frequencies of each order of pile foundation increase with the increase of elastic modulus of soils.If the elastic modulus of soils increases by one time(or four times),the first-order frequency of pile foundation increases by about 20%(or 40%).

关 键 词：部分埋置单桩 冲刷作用 有限差分法 Green函数法 固有频率 

分 类 号：TU473[建筑科学—结构工程] O322[建筑科学—土工工程]