The general solution for dynamical problem of rectangular micro-polar beam vibrating at high frequency

作者：

Highlights：

• Linear micro-polar beam problem is formulated.

• Formulation includes Timoshenko beam model.

• Linear Hamiltonian dual equations for micro-polar beam are constructed.

• Complete set of solutions for micro-polar beam problem is derived for high frequency.

摘要

•Linear micro-polar beam problem is formulated.•Formulation includes Timoshenko beam model.•Linear Hamiltonian dual equations for micro-polar beam are constructed.•Complete set of solutions for micro-polar beam problem is derived for high frequency.

论文关键词：Micro-polar continuum,Timoshenko beam,High frequency vibration,Lagrange's equation,Hamiltonian system,Hellinger–Reissner variational principle

论文评审过程：Received 26 January 2017, Revised 12 October 2017, Accepted 14 March 2018, Available online 9 April 2018, Version of Record 9 April 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.03.068