Based on the theory of random vibration

the stationary random seismic response characteristics on long-span arch bridge under different condition of the spatical variable ground motions was investigated

and the influence of seismic response on longspan arch bridge under the local site effect

part of coherent effect and traveling wave effect was analysed

then the influence of the spatical variable ground motions on the long-span arch bridge random seismic response was demonstrated. It is showed that the influence of seismic response on long-span arch bridge is relative with its structure characteristics

position

boundary conditions; Considering the part of coherent effect

the seismic response increases insignificantly

while the seismic response of long-span arch bridge show an increasing trend with the seismic shear wave velocities increasing.