Investigating vibrational behavior of graphene sheets under linearly varying in-plane bending load based on the nonlocal strain gradient theory
Ali Shariati,Mohammad Reza Barati,Farzad Ebrahimi,Abhinav Singhal,Ali Toghroli
Abstract
A study that primarily focuses on nonlocal strain gradient plate model for the sole purpose of vibration examination, for graphene sheets under linearly variable in-plane mechanical loads. To study a better or more precise examination on graphene sheets, a new advance model was conducted which carries two scale parameters that happen to be related to the nonlocal as well as the strain gradient influences. Through the usage of two-variable shear deformation plate approach, that does not require the inclusion of shear correction factors, the graphene sheet is designed. Based on Hamilton's principle, fundamental expressions in regard to a nonlocal strain gradient graphene sheet on elastic half-space is originated. A Galerkin's technique is applied to resolve the fundamental expressions for distinct boundary conditions. Influence of distinct factors which can be in-plane loading, length scale parameter, load factor, elastic foundation, boundary conditions, and nonlocal parameter on vibration properties of the graphene sheets then undergo investigation.
(1) Ali Shariati — Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, 758307, Vietnam
(2) Ali Shariati — Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, 758307, Vietnam
(3) Mohammad Reza Barati, Farzad Ebrahimi — Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
(4) Abhinav Singhal — Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, Andhra Pradesh, 517325, India
(5) Ali Toghroli — Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam.
PDF Viewer
Preview is limited to the first 3 pages. Sign in to access the full PDF.
