title: Transverse vibration of nematic elastomer Timoshenko beams.
abstract: Being a rubber-like liquid crystalline elastomer, a nematic elastomer (NE) is anisotropic viscoelastic, and displays dynamic soft elasticity. In this paper, the transverse vibration of a NE Timoshenko beam is studied based on the linear viscoelasticity theory of nematic elastomers. The governing equation of motion for the transverse vibration of a NE Timoshenko beam is derived. A complex modal analysis method is used to obtain the natural frequencies and decrement coefficients of NE beams. The influences of the nematic director rotation, the rubber relaxation time, and the director rotation time on the vibration characteristic of NE Timoshenko beams are discussed in detail. The sensitivity of the dynamic performance of NE beams to director initial angle and relaxation times provides a possibility of intelligent controlling of their dynamic performance.
authors.affiliation: Department of Mechanics, School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Dong
authors.initials: D
authors.lastname: Zhao
authors.affiliation: Department of Mechanics, School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Liu
authors.affiliation: Department of Mechanics, School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Chuang
authors.initials: C
authors.lastname: Liu