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 nonlin...

in this paper, seismic behavior of the existing buildings equipped by friction dampers is studied. seismic performance of6-story, 9-story and 12-story steel buildings with damper and without damper were studied. the finite element modeling technique (sap2000 software) is used for analysis. time history analyzing was done to achieve this purpose. for nonlinear dynamic analysis, the responses of ...

In this article, based on the homotopy analysis method (HAM), a new analytic technique is proposed to solve systems of fractional integro-differential equations. Comparing with the exact solution, the HAM provides us with a simple way to adjust and control the convergence region of the series solution by introducing an auxiliary parameter h . Four examples are tested using the proposed techniqu...