HAMILTONIAN-BASED FREQUENCY-AMPLITUDE FORMULATION FOR NONLINEAR OSCILLATORS

Complex mechanical systems usually include nonlinear interactions between their components which can be modeled by equations describing the sophisticated motion of system. In order to interpret dynamics these systems, it is necessary compute more precisely frequencies. The vibration process a conservative oscillator always follows law energy conservation. A variational formulation constructed and its Hamiltonian invariant obtained. This paper suggests Hamiltonian-based quickly determine frequency property oscillator. An example given explicate solution process.