Exact solution of Eringen's nonlocal integral model for vibration and buckling of Euler–Bernoulli beam

Although, differential form of Eringen nonlocal model has been broadly used during investigation of nanoscale structures, the discrepancies in the results of integral and differential form of nonlocal equation are demonstrated for static bending analysis, recently. With this motivation, the present study aims to examine the buckling and vibration characteristics of nonlocal Euler–Bernoulli beams by solving the original integral constitutive...