Approximate Analytical Solution for the Dynamic Model of Large Amplitude Non-Linear Oscillations Arising in Structural Engineering

J. A. Belinchon, T. Harko, M. K. Mak

In this work we obtain an approximate solution of the strongly nonlinear second order differential equation $\frac{d^{2}u}{dt^{2}}+ω^{2}u+αu^{2}\frac{d^{2}u}{dt^{2}}+αu\left( \frac…