Modeling Traveling Waves Using Mode Superposition

Abstract

Analysis of the data from two Vortex-Induced Vibration (VIV) experiments conducted in the Gulf Stream on a 500-foot-long, 1.43 inches diameter, flexible, tension dominated riser model revealed that the response is predominantly characterized by the presence of traveling waves. It was also observed that the location of the VIV excitation region (power-in) affects the characteristics of the response. The conventional method of modeling the excitation force as a standing wave was found inadequate to predict the location of the peak measured response accurately, especially in the cases where the excitation region is close to a boundary (the ends of the riser model).A modified excitation force model consisting of a combination of standing and traveling wave excitation regions is demonstrated to predict the location of the peak response more accurately. This work presents the idea of modifying the VIV excitation model to include traveling wave characteristics and using mode superposition method for computing the response to this modified force. Examples of the implementation of this method are shown for the two distinct cases of the location of the power-in region -the power-in region adjacent to the boundary and the power-in region away from the boundary. Depending on the location of the power-in region, different proportions of standing and traveling wave excitations are used to yield predicted responses that match the measured response characteristics.

Time Domain Simulation of Vortex-Induced Vibration of a Curved Beam Using a Wake Oscillator Model

“…In view of many uncertainties involved in the experiment, the focus of this paper is placed on the qualitative reproduction of the test results. According to [14,15], the power-in region is set to belong in the reduced velocity interval from 5 to 7, and the critical angle of inclination is set to 45 degrees. The adopted parameters of the wake oscillator model are given in Table 2 Fig 5 shows the time evolution of the cable response as resulted from both the test and the simulation.…”