Open AccessA rational analytical approach for buckling analysis of orthotropic double-nanoplate-systems
Author(s) -
Da Lun Rong,
Chi Xu,
J. L. Zhang,
Zhenzhen Tong,
Zhenhuan Zhou,
Xinsheng Xü
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/531/1/012068
Subject(s) - orthotropic material , buckling , symplectic geometry , boundary value problem , hamiltonian system , hamiltonian (control theory) , phase space , materials science , structural engineering , mathematics , mathematical analysis , composite material , mathematical optimization , physics , engineering , finite element method , thermodynamics
A novel analytical Hamiltonian-based approach is proposed for buckling analysis of orthotropic double-nanoplate-systems (DNPSs) under uniaxially compression embedded in an elastic medium. In the Hamiltonian system, the governing equations for in-phase and out-of-phase buckling are established in a unified form based on Eringen’s nonlocal plate theory. The buckling analysis of the orthotropic DNPS is reduced to an eigenproblem in the symplectic space. Analytical buckling equations and buckling mode shape functions can be obtained by the symplectic eigensolutions and boundary conditions simultaneously. Comparison studies demonstrate the accuracy and efficiency of the proposed method. Key influencing factors which may benefit the design of complex 3D mesostructures are studied in detail. Some new results are given also.