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通过积分变换法,对考虑桩身材料阻尼条件下的桩基纵向振动问题进行求解,并得到了桩–土系统的传递函数以及脉冲响应函数。通过脉冲响应函数与外部激振函数在时域内卷积,可以得到任意激振条件下,桩顶位移(速度)响应的时域解析解,解决了分离变量法由于解法局限性只能对稳态正弦激振响应进行求解的不足,大大提升了解的适应性。并对工程测试中可能出现的测试信号高频干扰问题进行了波形分析,由于桩阻尼的存在,测试信号中的高频干扰成分所对应的响应会自动滤去,同时低频成分对应后继反射波趋于“宽扁”型。当桩阻尼较大时,反射波的起跳位置发生改变,不能作为一维弹性波速的测试依据。
Through the integral transformation method, the longitudinal vibration of pile foundation under the condition of pile material damping is solved, and the transfer function and impulse response function of pile-soil system are obtained. By convolution of impulse response function and external excitation function in the time domain, the time-domain analytic solution of pile top displacement (velocity) response can be obtained under any excitation condition. The solution of the separation variable method can only be solved for steady state Sine excitation response to solve the problem, greatly enhance the understanding of the adaptability. The waveform analysis of high frequency interference of test signal which may appear in engineering test is carried out. Due to the existence of pile damping, the response corresponding to the high frequency interference component in the test signal is automatically filtered off, and the low frequency component corresponds to the subsequent reflected wave frequency In the “wide flat ” type. When the pile damping is large, the take-off position of the reflected wave changes, which can not be used as the test basis for the one-dimensional elastic wave velocity.