Nonlinear vibration of axially moving membrane by finite element method

摘要

A theoretical and numerical formulation for nonlinear axially moving membrane is presented. The model is based on a Lagrangian description of the con- tinuum problem in the context of dynamics of initially stressed solids. Membrane elasticity is included via a finite strain model and the membrane transport speed is in- cluded by using conservation of the membrane mass. Hamilton's principle provides nonlinear equations, which Describe the three-dimensional motion of the membrane. The incremental equations of Hamilton's principle are Discretized by the finite element method.