Timoshenko梁模型下完整桩瞬态横向振动半解析解  

Semi-analytical solution for transient lateral vibration of integrate piles based on Timoshenko beam model

作　　者：龙丽丽[1] 刘东甲[2] 蒋红[1] 

机构地区：[1]安徽水利水电职业技术学院市政工程系,安徽合肥231603 [2]合肥工业大学资源与环境工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2016年第3期368-373,共6页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省高等学校优秀青年人才基金资助项目(2012SQRL244);广东省公路管理局科技资助项目(粤公研2011-21);广东省交通厅科技资助项目(2009-02-020);安徽省国土资源厅科研资助项目(2010-g-32);安徽省高校自然科学研究资助项目(KJ2016A289)

摘　　要：文章采用Timoshenko梁模型下桩-土系统横向振动的动力学模型和数学模型,通过Laplace变换,得到桩顶横向振动速度在频域内的解析解,进行快速Fourier逆变换,得到桩顶速度时域内的表达式;根据试验桩参数绘制出速度导纳曲线及桩顶速度曲线,分析Bernoulli-Euler梁模型和Timoshenko梁模型的速度导纳曲线的特点,对比2种模型桩的理论速度曲线与试验桩实测速度曲线的差异;分析不同参数对桩顶横向动力响应的影响。结果表明,Timoshenko梁模型的结果比Bernoulli-Euler梁模型更接近于工程实际中低应变横向测桩的结果,所得半解析解结果能在频域内进行分析,具有很好的适应性和准确性。Using the dynamical and mathematical models of lateral vibration of pile-soil system under Timoshenko beam model, an analytical solution of the velocity of lateral vibration in frequency domain was derived by Laplace transforming, and the velocity of pile head in time domain was worked out through fast inverse Fourier transforming. According to the test pile parameters, the curves of velocity admittance and pile head velocity were plotted to show the features of velocity admittance curves of Timoshenko beam model and Bernoulli-Euler beam model. The theoretical velocity curves of the two model piles and the real velocity curves of test piles were also compared to analyze the impact of vari- ant parameters on the dynamical response of pile head. It is shown that the results of Timoshenko beam model are more approximate to the observation in low strain integrity testing than those of Ber- noulli-EuIer beam model. The semi-analysis method can solve the response of pile-soil system in fre- quency domain and has strong adaptability and high accuracy.

关 键 词：TIMOSHENKO梁 瞬态横向动力响应 传递函数 导纳曲线 

分 类 号：TU473.16[建筑科学—结构工程]