Open AccessEigenvectors for a Cylindrical Shell under Axial Impact
Author(s) -
Zhang Wx,
XW Hu
Publication year - 2020
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/560/1/012012
Subject(s) - buckling , eigenvalues and eigenvectors , critical load , symplectic geometry , shell (structure) , boundary value problem , structural engineering , stability (learning theory) , vibration , mathematics , materials science , engineering , physics , mathematical analysis , computer science , composite material , quantum mechanics , machine learning
A lot of research on dnamic buckling of cylindrical shells has been carried out, which greatly promotes the development of dynamic stability theory of shells. However, the existing theoretical analysis methods belong to the Lagrangian system, so it is difficult to apply the traditional variable separation method. In this paper, a symplectic system method for the dynamic buckling of elastic cylindrical shells under axial impact is presented. In symplectic space, the critical buckling load and dynamic buckling mode are simplified as general eigensolutions. In numerical results, the critical buckling load modes of elastic shells under different boundary conditions are given.