In this paper, the dynamic response of an infinite periodic viaduct (IPV) subjected to an moving mass and harmonic seismic waves simultaneously is studied using Fourier transform method and finite element method (FEM). According to the periodicity of the IPV, the mass–viaduct contact force (MVCF) is expanded into Fourier series, each of which represents a moving load component of the MVCF. The response of the IPV to the moving load component can be obtained by using the response of the IPV to a frequency-wavenumber domain unit load determined by the FEM. The response of the IPV to harmonic seismic waves can also be determined via the FEM. With the obtained responses of the IPV to the moving load component and seismic waves as well as the equation of the motion for the moving mass, the coupling equation between the moving mass and the IPV is derived, with which the Fourier coefficients of the MVCF can be evaluated. Superposition of the response of the IPV to the moving load components and that to seismic waves yields the total response of the IPV to the moving mass and seismic waves. The presented numerical results indicate that for the simplified IPV model used in this study, the in-plane transverse displacement of the beam of the IPV due to the joint action of the moving mass and seismic wave is larger than that due to the seismic wave alone, while for the out-of-plane vibration, the transverse displacement of the beam of the IPV due to the moving mass and seismic wave together is usually smaller than that due to the seismic wave only.

本文利用傅立叶变换法和有限元法研究了无限周期高架桥（IPV）同时受到运动质量和谐波地震波的动力响应。根据IPV的周期性，质量-高架桥接触力（MVCF）扩展为傅里叶级数，每个傅里叶级数表示MVCF的移动载荷分量。IPV对移动负载分量的响应可以通过使用IPV对由FEM确定的频率-波数域单位负载的响应来获得。IPV对谐波地震波的响应也可以通过FEM确定。利用IPV对移动载荷分量和地震波的响应以及移动质量的运动方程，推导了运动质量与IPV之间的耦合方程，利用该方程可以估算MVCF的傅立叶系数。IPV对移动的载荷分量和地震波的响应叠加产生IPV对移动的质量和地震波的总响应。数值结果表明，对于本研究中使用的简化IPV模型，由于运动质量和地震波的共同作用，IPV光束的平面内横向位移要大于仅地震波引起的平面内位移。 ，但对于平面外振动，由于移动质量和地震波共同引起的IPV光束的横向位移通常小于仅由于地震波引起的横向位移。IPV对移动的载荷分量和地震波的响应的叠加产生IPV对移动的质量和地震波的总响应。数值结果表明，对于本研究中使用的简化IPV模型，由于运动质量和地震波的共同作用，IPV光束的平面内横向位移要大于仅地震波引起的平面内位移。 ，但对于平面外振动，由于移动质量和地震波共同引起的IPV光束的横向位移通常小于仅由于地震波引起的横向位移。IPV对移动的载荷分量和地震波的响应叠加产生IPV对移动的质量和地震波的总响应。数值结果表明，对于本研究中使用的简化IPV模型，由于运动质量和地震波的共同作用，IPV光束的平面内横向位移要大于仅地震波引起的平面内位移。 ，但对于平面外振动，由于移动质量和地震波共同引起的IPV光束的横向位移通常小于仅由于地震波引起的横向位移。