Bending and free vibration analysis of nano and micro structures based on nonlocal elasticity theory

In this thesis, the bending and vibration analysis of nano and micro sized structures have been made by using the nonlocal elasticity theory. Beam has been chosen as the structure model type. Euler-Bernoulli and Timoshenko beam theories have been used for (as) beam theories. The motion equations of Euler-Bernoulli and Timoshenko beam theories were expressed by using nonlocal elasticity theory, which was proposed by Eringen. According to different boundary conditions, the bending and vibration equations of micro/nano structures have been generated. Then, in order to observe the effect of nonlocal behavior, analysis have been made over carbon nanotube and microtubules and the results have been compared with the classical theory. According to the results, the results of the equations generated from nonlocal elasticity theory are different from the results obtained from the classic theory, because of the dependence of the internal characteristic length.