Nonlinear Response of Fluid-Filled Membrane in Gravity Waves
Publication: Journal of Engineering Mechanics
Volume 129, Issue 7
Abstract
This paper describes a time-domain model for the nonlinear response of fluid-filled membranes in gravity waves. A formulation based on the principle of virtual work provides an integral governing equation for membrane deformation that fully accounts for geometric nonlinearity, which is known to be important even for relatively small deformation. The incident wave amplitude and membrane deformation are considered to be small, to allow linearization of the hydrodynamic problems. The potential flows inside and outside the membrane are solved by two boundary element models, which are coupled to the finite element model of the membrane. An iterative scheme based on Newmark’s method integrates the resulting nonlinear equations of motion in time. The computed results for a bottom-mounted fluid-membrane system show favorable agreement with available experimental and numerical data. Membrane geometric nonlinearity increases the system stiffness due to strain-stiffening and gives rise to hysteresis response at some frequencies.
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Copyright © 2003 American Society of Civil Engineers.
History
Received: Jul 16, 2001
Accepted: Aug 1, 2002
Published online: Jun 13, 2003
Published in print: Jul 2003
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