Nonlinear Vibration Analysis of Simply Supported Euler-Bernoulli FGM beam under forced excitation

This research focuses on the analysis of forced vibrations in a Euler-Bernoulli beam. The presented ‎model is a simply supported beam with FGM. Utilizing non-local theory and Hamilton's principle, the ‎equations of motion for the studied model are derived. Additionally, the weighted residual method ‎‎(Galerkin’s method) is employed to discretize the equations of motion. Numerical methods are utilized ‎to solve the resulting equations.

کلیدواژه ها:

Vibration analysis ، FGM beam ، Hamilton's principle ، Numerical methods