ABSTRACT
The dynamic behaviour of a large amplitude simple pendulum has a nonlinear governing equation that is particularly challenging to precisely and analytically solve. Nonetheless, research clearly still places a high value on developing analytical solutions. This is due to the fact that analytical solutions offer a more accurate baseline for numerical solutions and offer deeper insights into the significance of different system characteristics influencing the phenomenon. Therefore, we use the differential transformation approach in this work to present an approximate analytical solution for the nonlinear model of a forced simple pendulum with large amplitude and damping system. The answer will act as a bench for the other approximate analytical or numerical solution.
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