Dynamic Response of Membranes with Finite Elements

by Steven E. Benzley, Member of Technical Staff; Applied Mech. Div. II, Sandia Labs., Albuquerque, N.M.,
Samuel W. Key, Supervisor; Applied Mech. Div. I, Sandia Labs., Albuquerque, N.M.,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 3, Pg. 447-460

Document Type: Journal Paper


A general set of finite element equations that characterize the finite deformation nonlinear dynamic response of structural membranes is formulated. A cubic isoparametric quadrilateral finite element is used to define the membrane surface. Material characterization is kept general in that stress as a function of deformation gradient is calculated at each time step. An example problem showing the linear and nonlinear vibration of a square membrane is provided.

Subject Headings: Deformation (mechanics) | Membranes | Finite element method | Materials characterization | Nonlinear analysis | Nonlinear response | Dynamic response | Structural response

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