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Dynamic analysis of isotropic nanoplates subjected to moving load using state-space method based on nonlocal second order plate theory

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Abstract

In this work, dynamic analysis of rectangular nanoplates subjected to moving load is presented. In order to derive the governing equations of motion, second order plate theory is used. To capture the small scale effects, the nonlocal elasticity theory is adopted. It is assumed that the nanoplate is subjected to a moving concentrated load with the constant velocity V in the x direction. To solve the governing equations, state-space method is used to find the deflections of rectangular nanoplate under moving load. The results obtained here reveal that the nonlocality has significant effect on the deflection of rectangular nanoplate subjected to moving load.

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Authors and Affiliations

  1. School of Mechanical Engineering, Shiraz University, Shiraz, Iran

    Mohammad Rahim Nami

  2. Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran

    Maziar Janghorban

Authors
  1. Mohammad Rahim Nami
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  2. Maziar Janghorban
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Correspondence to Maziar Janghorban.

Additional information

Recommended by Associate Editor Jun-Sik Kim

Mohammad Rahim Nami joined the Shiraz University in 1994 as an instructor and received his Ph.D. degree in mechanical engineering from Shiraz University in 2002. He is currently the associate professor of mechanical engineering. His main filed of interest is computational mechanics and especially works on welding, fracture mechanics, nano mechanics, optimization, and mechanics of composite materials etc. He was the supervisor and advisor of more than 90 Ph.D. and M.S. thesis and published about 50 papers in international journals and conferences.

Maziar Janghorban received his B.S. and M.S. degrees in Mechanical Engineering from the Mechanical Engineering Department of Shiraz University and Islamic Azad University in 2008 and 2011, respectively. In 2012, he started his Ph.D. program in Mechanical Engineering at Shiraz University, Iran. His research interests include FGMs, nano science, static and dynamics of nanoplates, DQM and state-space method.

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Nami, M.R., Janghorban, M. Dynamic analysis of isotropic nanoplates subjected to moving load using state-space method based on nonlocal second order plate theory. J Mech Sci Technol 29, 2423–2426 (2015). https://doi.org/10.1007/s12206-015-0539-6

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  • DOI: https://doi.org/10.1007/s12206-015-0539-6

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