Application of variational and Galerkin equations to linear and nonlinear finite element analysisThe paper discusses the application of the variational equation to nonlinear finite element analysis. The problem of beam vibration with large deflection is considered. The variational equation is shown to be flexible in both the solution of a general problem and in the finite element formulation. Difficulties are shown to arise when Galerkin's equations are used in the consideration of the finite element formulation of two-dimensional linear elasticity and of the linear classical beam.
Document ID
19750029601
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Yu, Y.-Y. (New York, Polytechnic Institute, Brooklyn, N.Y.; Wichita State University Wichita, Kan., United States)