The study on the force analysis model of wave energy devices in heaving motion

Abstract

This study focuses on the heaving motion of a float in waves, where the oscillator moves reciprocally along the central axis. Assuming that the damping force of the linear damper is directly proportional to the relative velocity of the float and the oscillator, a motion model for the float and oscillator is established. By applying the principles of mechanics and dynamics, a mathematical analysis model for wave energy devices under heaving motion conditions is developed. Utilizing planning concepts and multi-threading technology, Java is employed to calculate the relevant data, and Python is used for data visualization to achieve simulation effects. In the process of solving and analyzing the related models, the masses of the central axis, base, and separator, as well as various frictional forces, are neglected. A mathematical model for wave energy devices undergoing only heaving motion is established. Based on the force analysis model, force equations for the float and oscillator are derived, and Newton's second law is applied to solve for the relevant accelerations. Differential equations are then used to further determine the associated velocities. Finally, displacement equations are established to solve for the trajectories of displacement versus time and velocity versus time.