Differential quadrature method for nonlocal nonlinear vibration analysis of a boron nitride nanotube using sinusoidal shear deformation theory

作者：Sadatshojaei Erfan; Sadatshojaie Ali; Fakhar Mohammad Hosein^*

来源：Mechanics of Advanced Materials and Structures, 2016, 23(11): 1278-1283.

DOI：10.1080/15376494.2015.1068407

• single walled boron nitride nanotubes (SWBNNT)
• nonlinear vibration
• sinusoidal shear deformation theory
• differential quadrature method (DQM)
• nonlinear elastic medium

This article presents a nonlocal sinusoidal shear deformation beam theory (SDBT) for the nonlinear vibration of single-walled boron nitride nanotubes (SWBNNTs). The surrounding elastic medium is simulated based on nonlinear Pasternak foundation. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion of the SWBNNTs are derived using Hamilton's principle. Differential quadrature method (DQM) for the nonlinear frequency is presented, and the obtained results are compared with those predicted by the nonlocal Timoshenko beam theory (TBT). The effects of nonlocal parameter, vibrational modes, length, and elastic medium on the nonlinear frequency of SWBNNTs are considered.

• 出版日期2016
• 单位中国石油大学（北京）