Abstract In present research, the problem of vortexinduced vibration (VIV) of marine riser structure with complex prestress force distribution is considered. Based on the EulerBernoulli beam theory, according to the stressstrain formula, differential equations of the influence with complex prestress force distribution on riser structure are established. At the end, a toptensioned riser (TTR) which is under shear flow loading is taken as an example, the influence of natural frequency, mode shape, and VIV response characteristic by complex prestress force distribution are investigated. The result shows that the distribution of complex prestress force has a significant influence on the riser structural dynamic characteristics, especially on the natural frequency. It is shown that the method proposed in this research provides a new approach to analyze the VIV problem of riser structure with complex loading.
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