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Full-Text Articles in Engineering Science and Materials
Some Analytic And Finite Element Solutions Of The Graphene Euler Beam, Dongming Wei
Some Analytic And Finite Element Solutions Of The Graphene Euler Beam, Dongming Wei
Dongming Wei
No abstract provided.
Some Analytic And Finite Element Solutions Of The Graphene Euler Beam, Dongming Wei
Some Analytic And Finite Element Solutions Of The Graphene Euler Beam, Dongming Wei
Dongming Wei
In this work, we present some novel analytic and finite elements solutions to the steady-state Euler beam equation subject to certain loads and boundary conditions. The finite element solutions are shown to be in good agreement with the analytic solutions. Error bound and stability of the finite element scheme are proved.
Analytic And Finite Element Solutions Of The Power-Law Euler-Bernoulli Beams, Dongming Wei, Yu Liu
Analytic And Finite Element Solutions Of The Power-Law Euler-Bernoulli Beams, Dongming Wei, Yu Liu
Dongming Wei
In this paper, we use Hermite cubic finite elements to approximate the solutions of a nonlinear Euler-Bernoulli beam equation. The equation is derived from Hollomon’s generalized Hooke’s law for work hardening materials with the assumptions of the Euler-Bernoulli beam theory. The Ritz-Galerkin finite element procedure is used to form a finite dimensional nonlinear program problem, and a nonlinear conjugate gradient scheme is implemented to find the minimizer of the Lagrangian. Convergence of the finite element approximations is analyzed and some error estimates are presented. A Matlab finite element code is developed to provide numerical solutions to the beam equation. Some …
Finite Element Analysis Of The Ramberg-Osgood Bar, Dongming Wei
Finite Element Analysis Of The Ramberg-Osgood Bar, Dongming Wei
Dongming Wei
In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to the associated nonlinear two point boundary value problem is established and used as a foundation for the finite element analysis.