Optical synthetic aperture is a feasible method for high angular resolution imaging. Due to the existence of multiple apertures, the co-phasing error of the aperture surface caused by vibration reduces imaging quality. Based on the existing imaging principle of optical synthetic apertures, a model for the effect of vibration on the point spread function (PSF) is designed by using an optical synthetic aperture structure, which couples the piston error and tilt error. The time-integrated Strehl ratio (TISR) is proposed, and compared with the traditional evaluation index, TISR can be used to analyze the influence of the coupling co-phasing error on PSF under the time-integrated effect. The results reveal that the PSF imaging performance declines significantly under the continuous effect of vibration, and the TISR curve shows obvious cyclical fluctuations under the time-integrated effect, which eventually converges over time.