Dynamic properties of large amplitude nonlinear oscillations using Hamiltonian-based frequency formulation

Abstract

In the present work, we present a detailed investigation into the large amplitude vibration of nonlinear engineering structures by means of the Hamiltonian-based frequency formulation (HBFF), extracted from the Hamiltonian theory and residual equation method. Compared to the variational method, the frequency amplitude formulas have an excellent agreement. In addition, the compared curves between the HBFF, variational method and exact solution indicate that the HBFF is more accurate. The ideas in this research are expected to shed a new light to the exploration of the nonlinear oscillation problems arising in physics and engineering.