Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
780026 | International Journal of Mechanical Sciences | 2016 | 7 Pages |
Abstract
•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.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Soumen Shaw,