Elastic buckling and free vibration of nonlocal strain gradient Euler‐Bernoulli beams using Laplace transform

Previous studies have shown that Lim's nonlocal strain gradient differential model would lead to some inconsistencies for the static bending of Bernoulli‐Euler and Timoshenko beams, though it is widely applied to address both softening and toughening size‐effect. In this work, nonlocal strain gradient integral model is applied to study the elastic buckling and free vibration of Bernoulli‐Euler beam under different boundary conditions. The...