Strain gradient theory for vibration analysis of embedded CNT-reinforced micro Mindlin cylindrical shells considering agglomeration effects

H. Tohidi, S.H. Hosseini-Hashemi, A. Maghsoudpour and S. Etemadi

Abstract

Based on the strain gradient theory (SGT), vibration analysis of an embedded micro cylindrical shell reinforced with agglomerated carbon nanotubes (CNTs) is investigated. The elastic medium is simulated by the orthotropic Pasternak foundation. The structure is subjected to magnetic field in the axial direction. For obtaining the equivalent material properties of structure and considering agglomeration effects, the Mori-Tanaka model is applied. The motion equations are derived on the basis of Mindlin cylindrical shell theory, energy method and Hamilton

Key Words

vibration; strain gradient theory; CNT agglomeration; micro cylindrical shell; DQM

Address

H. Tohidi, S.H. Hosseini-Hashemi, A. Maghsoudpour and S. Etemadi: Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran S.H. Hosseini-Hashemi: School of mechanical Engineering Iran university of Science and Technology, Narmak, 16842-13114 Tehran, Iran

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