Analysis of wave propagation in a functionally graded nanobeam resting on visco-Pasternak’s foundation

Theoretical and Applied Mechanics Letters

A.M. Zenkour¹  M. Arefi² 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran;

关键词: Wave propagation;    Timoshenko beam model;    Phase velocity;    Non-homogeneous index;    Visco-Pasternak’s foundation;   

DOI  :  10.1016/j.taml.2017.05.003

来源: DOAJ

【 摘 要 】

Wave propagation analysis for a functionally graded nanobeam with rectangular cross-section resting on visco-Pasternak’s foundation is studied in this paper. Timoshenko’s beam model and nonlocal elasticity theory are employed for formulation of the problem. The equations of motion are derived using Hamilton’s principals by calculating kinetic energy, strain energy and work due to viscoelastic foundation. The effects of various parameters such as wavenumber, non-homogeneous index, nonlocal parameter and three parameters of foundation are performed on the phase velocity of the nanobeam. The obtained results indicate that some parameters such as non-homogeneous index, nonlocal parameter and wavenumber have significant effect on the response of the system.

【 授权许可】

Unknown