水平瞬态荷载下基桩的动力响应分析
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摘要
文章建立了基桩桩顶受到水平瞬态荷载的动力学模型和数学模型;通过Laplace变换解析地求出频率域内桩土系统的传递函数,引入δ矩阵表示传递函数解决了高频部分精度损失的问题,得到了桩顶横向振动速度和位移的频域表达式,再进一步通过快速Fourier逆变换得到时域内速度和位移的表达式;绘制出不同参数下频域内的速度导纳曲线和时域内速度、位移曲线,并分析了曲线的特性以及各参数对曲线的影响。
The dynamic and mathematical models of pile heads with transient lateral load are established.An exact transfer function of pile-soil system in frequency domain is derived by the means of Laplace transform.A delta-matrix is built to express the transfer function and decrease the loss of precision of high frequency,and the frequency domain expressions of velocity and displacement of the pile head are obtained.Then the time domain expressions of velocity and displacement are derived by the inverse Fourier transform.The curve of admittance in frequency domain,the curve of velocity and displacement in time domain are analyzed in case of different parameters,and the result indicates that different parameters exert a distinguished influence on the character of curves.
引文
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