Based on classical Biot poroelastic theory and nonlocal elastic theory, an analytical model for investigating the dynamic responses of saturated porous materials subjected to a moving load is proposed. The displacement and stress fields in the frequency and wavenumber domains are obtained through Fourier transform. Then, the double inverse Fourier transform is applied to the obtained displacement and stress solutions to give the results in the time–space domain. The influences of the nonlocal parameter and load moving speed on the displacement field are discussed in detail. The influence of the nonlocal parameter on the displacement is enhanced with increasing load moving speed. Furthermore, the increase in the nonlocal parameter results in a decrease of the “resonance-like” frequency in a saturated material, reducing the critical load moving speed. The influence of the damping ratio is also investigated; as expected, a higher damping ratio always reduces the displacement. Finally, the influences of the nonlocal parameter on the pore pressure and permeability are presented.

基于经典的Biot多孔弹性理论和非局部弹性理论，提出了一种用于研究饱和多孔材料在动载荷作用下的动力响应的解析模型。通过傅立叶变换获得频域和波数域中的位移场和应力场。然后，将双逆傅立叶变换应用于所获得的位移和应力解，以在时空域中给出结果。详细讨论了非局部参数和载荷移动速度对位移场的影响。随着负载移动速度的增加，非局部参数对位移的影响也会增强。此外，非局部参数的增加导致“类共振”的减少。频率在饱和材料中，降低了临界载荷的移动速度。还研究了阻尼比的影响。如预期的那样，较高的阻尼比总是会减少位移。最后，给出了非局部参数对孔隙压力和渗透率的影响。