成层土中粘弹性桩纵向振动分析及工程应用

为了合理解释成层土中桩的完整性测试,建立了桩端为弹性阻尼支承、桩顶在任意荷载作用下粘弹性桩与多层土共同作用的数学模型,并利用拉普拉斯变换和矩阵理论求得了该模型的振动半解析解;然后利用卷积定理和傅立叶逆变换求得瞬态半个正弦波作用下桩顶响应的振动半解析解;最后采用数值模拟分析了桩侧土阻尼因子和桩身阻尼因子对桩顶速度响应的影响主要表现在对峰值点的衰减上,而桩侧土刚度因子主要对桩顶速度响应曲线的整体形状产生影响。

Analysis and application in engineering on vertical vibration of viscoelasticity piles in layered soil

In order to direct the test on pile integrity and give a reasonable explanation, the model of interaction on layered soil and viscoelasticity pile is established when subjects to exciting force at the head of pile, in which takes visco-analytical solution of pile into account. By means of LAPLACE transform and matrix theory, the semi-analytical solution of pile-soil system is derived. Further, with the help of the convolution theorem and inverse FOURIER transform, a semi-analytical solution of the velocity response under semi-sine impulse exciting is obtained. Later,by numerical methods,the influences of layered soil and pile parameters on velocity response of pile top are simulated, and several conclusions being benefit to pile integrity test are drawn.