Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory

摘要: Abstract A size-dependent nonlinear Euler–Bernoulli beam is considered in the framework of nonlocal strain gradient theory. The geometric nonlinearity due to stretching effect mid-plane size–dependent here. governing equations and boundary conditions are derived by employing Hamilton principle. post-buckling deflections critical buckling forces simply supported beams analytically derived. results compared with those theory, elasticity theory classical It found that can be increased increasing parameter or decreasing material characteristic parameter. high-order more sensitive parameters than low-order deflections. Furthermore, force when larger parameter, smaller