High frequency vibration of a rectangular micropolar beam: A dynamical analysis

•This paper deals with the high frequency vibration of a rectangular micropolar beam.•A new methodology based Hamiltonian principle with Legendre׳s transformation.•It is reduce the complexities of the problem.•This micropolar beam model can be easily reduced to Timoshenko beam model in classical case.

The present paper deals with the dynamical solution of a rectangular micropolar beam in high frequency domain. Analogous to symplectic approach by W. Zhong, a new methodology is adopted to solve the vibrational problem by using Hamiltonian principle with Legendre׳s transformation. This paper extends the symplectic elasticity approach and dual variables to a different version that simplifies the solution procedure.