Time-Dependent Motion of a Floating Circular Elastic Plate
Michael H. Meylan
Abstract
The motion of a circular elastic plate floating on the surface is investigated in the time-domain. The solution is found from the single frequency solutions, and the method to solve for the circular plate is given using the eigenfunction matching method. Simple plane incident waves with a Gaussian profile in wavenumber space are considered, and a more complex focused wave group is considered. Results are given for a range of plate and incident wave parameters. Code is provided to show how to simulate the complex motion.
Topics & Concepts
WavenumberEigenfunctionPhysicsOpticsGaussianRange (aeronautics)Plane (geometry)Motion (physics)Mathematical analysisGeometryClassical mechanicsMathematicsEigenvalues and eigenvectorsMaterials scienceQuantum mechanicsComposite materialWave and Wind Energy SystemsFluid Dynamics Simulations and InteractionsVibration and Dynamic Analysis