论文部分内容阅读
通过对层状地基中端承桩的分析，建立了合理的几何、数学及力学模型。考虑层状地基ＳＨ与ＳＶ波波动及非线性辐射阻尼影响，应用Ｄｉｒａｃ广义函数和Ｗｉｎｋｌｅｒ地基理论计入各种动力、抗力、地震力及内力等，建立地基波动方程、桩振动方程、地基与桩耦合振动方程。给出了柯西型函数的自由振动解。利用非经典理论正交条件和卷积定理给出了强迫振动地震反应解析解。算例结果充分表明了动力特性及振动规律非常正确。充分体现了本文的解析公式是一组非常精确的解析解。本文方法是研究端承桩的一种非常有效的新方法。
Through the analysis of the end bearing pile in the layered foundation, a reasonable geometric, mathematical and mechanical model is established. Considering the influence of SH and SV waves on layered soils and nonlinear radiation damping, the Dirac function and Winkler foundation theory are used to account for various dynamic forces, resistances, seismic forces and internal forces. The foundation wave equation, pile vibration equation, foundation and pile Coupling vibration equation. The free vibration solution of Cauchy type function is given. The analytical solution of forced vibration seismic response is given by using the non-classical theory of orthogonal conditions and the convolution theorem. The result of the example fully shows that the dynamic characteristics and the vibration law are very correct. Fully reflects the analytical formula in this paper is a set of very accurate analytical solution. The method in this paper is a very effective new method for studying end bearing pile.