端承桩在层状地基波动与辐射阻尼影响下的横向地震反应分析
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摘要
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。
In this prper,the reasonable model for geometry and mathematics and mechanics are established according to endbearing pile in bedded ground by means of analysis.The influence of wave motion for bedded ground SH and SV wave and nonlinesr radiant damping are considered.The bedded ground wave motion equation,the pile vibration equation,the bedded ground and pile coupling vibration equation are established applying Dirac generalized function and Winkler bedded ground theory to count in various dynamic force and resistant force and seismic force and inner force and so on.The free vibration solution of Keximodel function are given.The anarytical solutions for coercion vibration seismic response solution are given by means of orthogonaity condition and convolution integral theorem under onoclassical theory.The computational examples results full expression dynamic property and vibration law are very right.Full showing in this paper andaltical formulas are the group of very precise analytical solutions.The method is effective new one of researching endbearing pile.
In this prper,the reasonable model for geometry and mathematics and mechanics are established according to endbearing pile in bedded ground by means of analysis.The influence of wave motion for bedded ground SH and SV wave and nonlinesr radiant damping are considered.The bedded ground wave motion equation,the pile vibration equation,the bedded ground and pile coupling vibration equation are established applying Dirac generalized function and Winkler bedded ground theory to count in various dynamic force and resistant force and seismic force and inner force and so on.The free vibration solution of Keximodel function are given.The anarytical solutions for coercion vibration seismic response solution are given by means of orthogonaity condition and convolution integral theorem under onoclassical theory.The computational examples results full expression dynamic property and vibration law are very right.Full showing in this paper andaltical formulas are the group of very precise analytical solutions.The method is effective new one of researching endbearing pile.
引文
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