The effect of small scale on the vibrational response of nano-column based on differential quadrature method

Document Type : Original Research Paper


1 Young Researchers and Elite club, Islamic Azad University, Central Tehran Branch, Tehran, I. R. Iran

2 Faculty of Mechanical Engineering, University of Kashan, Kashan, I. R. Iran

3 Institute of Nanoscience and Nanotechnology, University of Kashan, Kashan, I. R. Iran

4 Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, I. R. Iran


The present paper deals with the dynamic behavior of nano-column subjected to follower force using the nonlocal elasticity theory. The nonlocal elasticity theory is used to analyze the mechanical behavior of nanoscale materials. The used method of solution is the Differential Quadrature Method (DQM). It is shown that the nonlocal effect plays an important role in the vibrational behavior of nano-columns. The results can provide useful guidance for the study and design of the next generation of nanodevices and could be useful in biomedical and bioengineering applications as well as in other fields related with the nanotechnology.


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