Research Article
Research on Motion Modeling and Numerical Solution for Float-Oscillator Systems in Wave Energy Devices
@INPROCEEDINGS{10.4108/eai.24-4-2026.2364844, author={Keyang Liu and Xiaoyang Shi and Mindong Liu}, title={Research on Motion Modeling and Numerical Solution for Float-Oscillator Systems in Wave Energy Devices}, proceedings={Proceedings of the 3rd International Conference on Mechanics, Electronics Engineering and Automation, ICMEEA 2026, April 24-26, 2026, Singapore, Singapore}, publisher={EAI}, proceedings_a={ICMEEA}, year={2026}, month={9}, keywords={Wave energy converter Float-oscillator system Equation of motion Fourth-order Runge-Kutta method Numerical solution Linear and nonlinear damping}, doi={10.4108/eai.24-4-2026.2364844} }- Keyang Liu
Xiaoyang Shi
Mindong Liu
Year: 2026
Research on Motion Modeling and Numerical Solution for Float-Oscillator Systems in Wave Energy Devices
ICMEEA
EAI
DOI: 10.4108/eai.24-4-2026.2364844
Abstract
This study formulates a coupled second-order non-homogeneous differential equation system for the float and oscillator by integrating Newton's second law with wave excitation forces. For the two damping cases of linear and nonlinear, the equation system is transformed into a fourth-order differential equation system, and the fourth-order Runge Kutta method is used to perform numerical iterative calculations with a time step of 0.02s. The heave displacement and velocity of the first 40 wave cycles at a time interval of 0.2s are obtained, and specific parameters at specific times are extracted. The results showed that under both damping conditions, displacement and velocity fluctuated over time and gradually stabilized. At some moments, such as 10 seconds, under linear damping, the float displacement was -0.1905185m and the velocity was -0.6398664m/s, while under nonlinear damping, the displacement was -0.2057268m and the velocity was -0.6511330m/s. Selecting 0.002 as the smaller step length for testing, it was found that the difference between the obtained results and the original step size calculation results was small, indicating that the model results have high reliability.
